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1 A novel method to impose boundary conditions for higher ...
https://www.sciencedirect.com/science/article/pii/S0045782521007192
This condition is localized, and a sequence of local boundary conditions on B , of increasing order, is obtained.
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2 Wall boundary conditions for high-order finite ... - Springer Link
https://link.springer.com/article/10.1007/BF00311843
A set of numerical boundary conditions simulating the presence of a solid wall for high-order finite-difference schemes using a minimum number of ghost ...
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3 (PDF) An Analysis of Higher Order Boundary Conditions for ...
https://www.researchgate.net/publication/29599945_An_Analysis_of_Higher_Order_Boundary_Conditions_for_the_Wave_Equation
This permits us to derive new convergence results when the order of the boundary condition tends to infinity, as well as error estimates. The ...
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4 High-Order Non-Reflecting Boundary Conditions for ... - DTIC
https://apps.dtic.mil/sti/citations/ADA488983
We wish to solve fluid flow problems in only a portion of a large or infinite domain. By restricting our area of interest, we effectively create a boundary ...
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5 Spline Solutions of Higher Order Boundary Value Problems
https://www.grin.com/document/541611
The narrow convecting layers bounded by stable layers which are believed to surround A-type stars may be modeled by sixth-order boundary value problems which ...
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6 High-order methods and numerical boundary conditions
https://estudogeral.uc.pt/bitstream/10316/4599/1/file68ba3db105314f0c9a8d8703610da964.pdf
When we apply high-order numerical meth- ods to problems where physical boundary conditions are not periodic there is a need to choose adequate numerical ...
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7 Local Compatibility Boundary Conditions for High-Order ...
https://arxiv.org/abs/2111.02915
Abstract: We describe a new approach to derive numerical approximations of boundary conditions for high-order accurate finite-difference ...
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8 EXP-FUNCTION METHOD FOR SOLVING HIGHER-ORDER ...
https://web.math.sinica.edu.tw/bulletin_ns/20092/2009203.pdf
Vol. 4 (2009), No. 2, pp. 219-234. EXP-FUNCTION METHOD FOR SOLVING. HIGHER-ORDER BOUNDARY VALUE PROBLEMS. BY. SYED TAUSEEF MOHYUD-DIN, MUHAMMAD ASLAM NOOR.
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9 Boundary conditions in mixture theory and in CFD ... - CORE
https://core.ac.uk/download/pdf/81124960.pdf
Keywords: Continuum mechanics; Boundary conditions; Granular materials; ... higher order theories is the specification of boundary conditions, ...
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10 Higher Order Boundary Value Problems on Unbounded ...
https://www.worldscientific.com/worldscibooks/10.1142/10448
The last part features some higher order functional problems, which generalize the classical two-point or multi-point boundary conditions, to more comprehensive ...
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11 Differential Equations - Boundary Value Problems
https://tutorial.math.lamar.edu/classes/de/BoundaryValueProblem.aspx
In this section we'll define boundary conditions (as opposed to ... for first order IVP's but the idea does extend to higher order IVP's.
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12 High-order, stable, and conservative boundary schemes for ...
https://public.lanl.gov/livescu/frames/Brady_Livescu_CF19.pdf
Designing high-order numerical boundary schemes such that ... boundary conditions weakly via a penalty term added to the equa-.
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13 Numerical solutions of higher order boundary value problems ...
https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-021-03495-6
Higher-order boundary value problems (HOBVPs) have widespread applications in diverse areas of science and engineering. Mostly, these problems ...
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14 High-order finite difference methods for hyperbolic IBVP
https://www.math.uh.edu/~hjm/june1995/p00409-p00420.pdf
conditions that the inner and boundary schemes must sat- isf•v to ensure stability. The following theorem states when hyperbolic systems are G-K-S stable. • ...
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15 A High-Order Direct Solver for Helmholtz Equations with ...
https://www.cs.odu.edu/~mln/ltrs-pdfs/icase-1997-11.pdf
for Neumann and Neumann-Dirichlet boundary conditions to achieve accuracy and sep- ... A high order discretization is derived for Laplace operator.
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16 High-order local artificial boundary conditions for problems in ...
https://cpb-us-w2.wpmucdn.com/blog.nus.edu.sg/dist/4/11813/files/2019/05/BH1.pdf
High-order local artificial boundary conditions for problems in unbounded domains q. Weizhu Bao *, Houde Han. Department of Applied Mathematics, ...
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17 High Order Boundary Conditions Technique for the ...
https://www.scirp.org/journal/paperinformation.aspx?paperid=83231
In order to confront the difficulties faced when the location of such orbits is attempted, high order boundary conditions are constructed through scale ...
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18 Direct implementation of high order BGT artificial boundary ...
https://mmedvin.math.ncsu.edu/Publications/HOBGT3D.pdf
Local artificial boundary conditions (ABCs) for the numerical simulation of waves have been successfully used for decades (most notably, the boundary ...
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19 A High-Order Numerical Method for the Helmholtz Equation ...
https://epubs.siam.org/doi/abs/10.1137/120902689
It introduces a universal framework for treating boundary conditions of any type. A significant advantage of this method is that changing the boundary condition ...
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20 Inverse scattering problems for obstacles with higher order ...
https://rucore.libraries.rutgers.edu/rutgers-lib/67371/
More specifically the scatterer is impenetrable with Dirichlet boundary condition on a part of its boundary and anisotropic generalized impedance boundary ...
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21 MATLAB bvp4c - Solve boundary value problem - MathWorks
https://www.mathworks.com/help/matlab/ref/bvp4c.html
Solve Second-Order BVP ... y ′ ′ + y = 0 . ... y ( 0 ) = 0 ,. y ( π / 2 ) = 2 . To solve this equation in MATLAB, you need to write a function that represents the ...
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22 A New Iterative Method for the Numerical Solution of High ...
https://www.frontiersin.org/articles/10.3389/fphy.2020.00220/full
The application of boundary value problems (BVPs) can be found in different fields of pure and applied sciences; for instance, the narrow ...
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23 On source terms and boundary conditions using arbitrary high ...
https://sciendo.com/pdf/10.2478/v10006-007-0024-1
This article is devoted to the discretization of source terms and boundary conditions using discontinuous Galerkin schemes with an arbitrary high order of ...
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24 HIGH ORDER ABSORBING BOUNDARY CONDITIONS FOR ...
http://congress.cimne.com/eccomas/proceedings/compdyn2011/compdyn2011_full/070.pdf
Abstract. A high-order Absorbing Boundary Condition (ABC) is devised on an artificial boundary for time-dependent elastic waves in unbounded domains.
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25 An Open Boundary Condition for High-order Solutions of ...
https://www.tandfonline.com/doi/full/10.1080/10618562.2020.1791835
by X Zhang · 2020 · Cited by 3 —
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26 High order compact finite difference schemes for a system of ...
http://www.amsc-ouc.ac.cn/Files/Papers/2012_Xie_High%20order%20compact%20finite%20difference%20schemes%20for%20a%20system%20of%20third%20order%20boundary%20value%20problem.pdf
High order compact finite difference schemes are devised for general third order differen- tial equations raised in the study of obstacle boundary value ...
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27 Strict Stability of High-Order Compact Implicit Finite-Difference ...
https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=3a84b0eb3e1f1960f1256e4a9f9c956400600c2f
Strict Stability of High-Order Compact Implicit. Finite-Difference Schemes: The Role of. Boundary Conditions for Hyperbolic PDEs, I.
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28 Higher Order Approximations to the Boundary Conditions for ...
https://www.jstor.org/stable/2005966
Higher Order Approximations to the Boundary Conditions for the Finite Element Method. By J. J. Blair*. Abstract. We consider here the approximation of ...
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29 Application of higher-order boundary element method to ...
https://search.proquest.com/openview/0a7df04a8be30d9c1d39a4da3483e2cf/1?pq-origsite=gscholar&cbl=18750&diss=y
A higher order boundary element method was developed to compute the wave-making ... corresponding boundary conditions, and higher order interpolation ...
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30 Article - DML-CZ
https://dml.cz/handle/10338.dmlcz/146989
Summary: This paper is concerned with the existence of bounded or unbounded solutions to third-order boundary value problem on the half-line with functional ...
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31 High order ghost-cell immersed boundary method for ...
https://battiato.stanford.edu/sites/g/files/sbiybj18071/files/media/file/2019-yousefzadeh-high.pdf
Accepted 11 March 2019. Keywords: Immersed boundary method. Fluid-solid interaction. High order discretization. Robin boundary condition. a b s t r a c t.
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32 Nonreflective boundary conditions for high-order methods
https://arc.aiaa.org/doi/pdf/10.2514/3.12015
Nonreflective Boundary Conditions for High-Order Methods. H. Atkins*. NASA Langley Research Center, Hampton, Virginia 23681 and. Jay Caspert.
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33 On Higher Order Boundary Value Problems Via Power Series ...
https://www.semanticscholar.org/paper/On-Higher-Order-Boundary-Value-Problems-Via-Power-Hamid-Ahmad/0b9af10cd6670094c0418108be6e10c3882b5707
... called Power Series Approximation Method (PSAM) is applied for the numerical approximate solution of non-linear higher order boundary value problems.
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34 IMPLEMENTATION OF BOUNDARY CONDITIONS F'OR ...
https://eprints.soton.ac.uk/23041/1/CompactScheme-Kim2.pdf
and the physical boundary conditions. 1. Introduction. The seven-point stencil high-order central compact finite difference schemes for e\,?luation.
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35 FFT-based high order central difference schemes for three ...
https://szhao.people.ua.edu/uploads/9/0/8/4/90844682/jcp20.pdf
Since the periodic boundary condition can be simply handled in the Fourier transform method, we will only focus on three standard boundary conditions in this ...
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36 Very high-order method on immersed curved domains for ...
https://repositorium.sdum.uminho.pt/bitstream/1822/72517/1/1-s2.0-S0045782519306747-main.pdf
Keywords: High-order schemes; Compressible flows; Cartesian grids; Finite difference; ... numerical solution if the boundary conditions are included just ...
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37 Higher-order finite difference -- Dirichlet boundary conditions
https://math.stackexchange.com/questions/4094217/higher-order-finite-difference-dirichlet-boundary-conditions
With pure Dirichlet, this does not seem right. One thing you might try is writing down Robin conditions with ghost points (with an equal order ...
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38 Interface and Boundary Schemes for High-Order Methods
http://oddjob.utias.utoronto.ca/dwz/Miscellaneous/xunsa09.pdf
highly competitive option for dealing with mesh interfaces and boundary conditions in high-order multiblock solvers, with the summation-by-parts approach ...
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39 numerical boundary conditions for the fast sweeping high ...
https://global-sci.org/intro/article_detail/auth/8629.html
Journal of Computational Mathematics, Vol.26, No.3, 2008, 336–346. NUMERICAL BOUNDARY CONDITIONS FOR THE FAST. SWEEPING HIGH ORDER WENO METHODS FOR SOLVING.
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40 Boundary conditions and applications of WENO finite ...
https://repository.library.brown.edu/studio/item/bdr:297524/PDF/
Shu, A high order moving boundary treatment for compress- ible inviscid flows, Journal of Computational Physics, 230 (2011), 6023–6036. 3. S. Tan and C.-W. Shu, ...
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41 A novel method to impose boundary ... - Purdue Engineering
https://engineering.purdue.edu/gomez/assets/pdf/art86.pdf
Partial differential equations (PDEs) with spatial derivatives of order higher than two are receiving increasing attention, partially due to the ...
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42 Higher-Order Functional Discontinuous Boundary Value ...
https://mdpi-res.com/d_attachment/mathematics/mathematics-09-00499/article_deploy/mathematics-09-00499.pdf?version=1614588998
The functional boundary conditions in higher-order problems can include global data on the unknown variable and its derivatives, and, in this ...
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43 Boundary conditions and stability of a perfectly matched layer ...
https://calhoun.nps.edu/handle/10945/52031
Moreover, in order to ensure longtime numerical stability, the boundary condition closing the PML, or its corresponding discrete implementation, must be ...
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44 Solving singular boundary value problems using higher-order ...
https://www.authorea.com/users/516771/articles/591485-solving-singular-boundary-value-problems-using-higher-order-compact-finite-difference-schemes-with-a-novel-higher-order-implementation-of-robin-boundary-conditions
Most studies numerically approximate Neumann and Robin boundary conditions with a first-order approximation, however, this reduces the accuracy ...
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45 Direct implementation of high order BGT artificial ... - NASA/ADS
https://ui.adsabs.harvard.edu/abs/2019JCoPh.376...98M/abstract
In practice, however, the use of local ABCs has been limited to low orders (first and second), because higher order boundary conditions involve higher order ...
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46 High order summation-by-parts based approximations for ...
https://www.diva-portal.org/smash/get/diva2:1138469/FULLTEXT01.pdf
energy bounding boundary conditions are derived for the nonlinear equations. The boundary conditions can be used at both far field and solid wall boundaries ...
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47 An orthogonality relation for a class of problems with high ...
https://bura.brunel.ac.uk/bitstream/2438/3299/3/An%20orthogonality%20relation%20for%20a%20class%20of%20problems%20with%20high-order%20boundary%20conditions.pdf
equation and high-order boundary conditions. It also discusses the procedure for incorpo- rating the necessary edge conditions. Via two specific examples ...
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48 Boundary value problems with an integral ... - AIP Publishing
https://aip.scitation.org/doi/pdf/10.1063/5.0042786
We study two boundary value problems with an integral boundary condition for a higher order equation of mixed- composite type. By replacing the desired ...
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49 Initial Value & Boundary Value Problems (Section 4.1.1)
https://www.youtube.com/watch?v=HZ3c5T2OI0Y
Math TV with Professor V
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50 Efficient implementation of high order inverse Lax-Wendroff ...
http://archive.ymsc.tsinghua.edu.cn/pacm_download/113/1194-paper.pdf
Abstract. In [20], two of the authors developed a high order accurate numerical boundary condition procedure for hyperbolic conservation laws, which allows ...
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51 High‐order axisymmetric Navier–Stokes code: Description ...
https://onlinelibrary.wiley.com/doi/abs/10.1002/fld.1650091207
Special attention is paid to the boundary conditions. Results are compared with measurements for the cases of rotating flow within a closed cylinder (rotating ...
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52 High-order impedance boundary conditions for multilayer ...
https://ieeexplore.ieee.org/iel5/8/18206/00841904.pdf
High-Order Impedance Boundary Conditions for. Multilayer Coated 3-D Objects. Olivier Marceaux and Bruno Stupfel. Abstract—The scattering problem by a ...
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53 High order extended boundary value methods for the solution ...
https://linkinghub.elsevier.com/retrieve/pii/S0377042721003721
Abstract. A class of high order extended boundary value methods (HEBVMs) suitable for the numerical approximation of stiff systems of ordinary ...
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54 High order curvature flows of plane curves with generalised ...
https://www.degruyter.com/document/doi/10.1515/acv-2020-0002/pdf
In each case the smallness conditions depend only on m. Keywords: Curvature flow, high order parabolic equation, Neumann boundary condition. MSC 2010: 53C44.
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55 Corner treatments for high-order local absorbing boundary ...
https://hal.archives-ouvertes.fr/hal-01925160v2
This paper deals with the design and validation of accurate local absorbing boundary conditions set on convex polygonal and polyhedral computational domains ...
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56 High order integration factor methods for systems ... - NSF PAR
https://par.nsf.gov/servlets/purl/10136603
The generalized IF method for reaction–diffusion systems with inhomogeneous Neumann boundary conditions is derived in Section 2, and numerical tests with linear ...
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57 Boundary value problem - Wikipedia
https://en.wikipedia.org/wiki/Boundary_value_problem
In mathematics, in the field of differential equations, a boundary value problem is a differential equation together with a set of additional constraints, ...
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58 High Order Generalized Impedance Boundary Conditions in ...
https://www.math.u-bordeaux.fr/~durufle/article/cras-A9.pdf
High Order Generalized Impedance Boundary Conditions in. Electromagnetic Scattering Problems. M. Duruflé, H. Haddar and P. Joly.
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59 Boundary-value problems for higher-order el- liptic equations ...
https://www-users.cse.umn.edu/~svitlana/HistoryWithComposition-Corrections.pdf
biharmonic equation, polyharmonic equation, higher order equa- tion, Lipschitz domain, general domains, Dirichlet problem, regularity prob- lem, Neumann problem ...
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60 and Higher-Order Nonlinear Two-Point Boundary-Value ...
https://www.mdpi.com/2227-7390/10/19/3519
The theory of boundary value problems for higher-order differential equations is closely related to the theory of boundary value problems for a system of first- ...
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61 Strong solution for a high order boundary value problem with ...
https://journals.tubitak.gov.tr/cgi/viewcontent.cgi?article=2349&context=math
Article 11. 1-1-2013. Strong solution for a high order boundary value problem with integral condition. AHCENE MERAD. AHMED LAKHDAR MARHOUNE.
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62 Application of Higher Order Splines for Boundary Value ...
https://publications.waset.org/10001691/application-of-higher-order-splines-for-boundary-value-problems
Bringing forth a survey on recent higher order spline techniques for solving boundary value problems in ordinary differential equations.
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63 Boundary value problem - Scholarpedia
http://www.scholarpedia.org/article/Boundary_value_problem
A two-point boundary value problem (BVP) of total order n on a ... up to an order one less than the highest derivative of that variable ...
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64 Bernoulli polynomial and the numerical solution of high
https://www.isr-publications.com/mns/8097/download-bernoulli-polynomial-and-the-numerical-solution-of-high-order-boundary-value-problems
In this work we present a fast and accurate numerical approach for the higher-order boundary value problems via Bernoulli collocation method.
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65 A generalization of Ascoli–Arzelá theorem in C n with ...
https://www.emerald.com/insight/content/doi/10.1108/AJMS-10-2021-0274/full/html
A generalization of Ascoli–Arzelá theorem in Cn with application in the existence of a solution for a class of higher-order boundary value ...
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66 Application of high-order absorbing boundary condition in ...
https://www.iitk.ac.in/nicee/wcee/article/WCEE2012_3677.pdf
Application of high-order absorbing boundary condition in dynamic analysis of fluid-structure systems. A. Samii & V. Lotfi.
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67 Absorbing boundary conditions - Encyclopedia of Mathematics
https://encyclopediaofmath.org/wiki/Absorbing_boundary_conditions
The higher-order finite-difference approximations tend to make the design of boundary conditions more difficult because grid points near the ...
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68 Haar Wavelet Method for Solving High-Order Differential ...
https://jacm.scu.ac.ir/article_15499.html
In this technique, a system of high-order boundary value problems of ordinary differential equations is reduced to a system of algebraic equations.
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69 Galerkin Method for Nonlinear Higher-Order Boundary Value ...
https://iopscience.iop.org/article/10.1088/1742-6596/2128/1/012035
Abstract. In the current paper, we develop an algorithm to approximate the analytic solution for the nonlinear boundary value problems in higher-order based on ...
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70 Stable Fourth-Order Stream-Function Methods for ... - Caltech
http://users.cms.caltech.edu/~hou/papers/JCM_Hou_Wetton.pdf
methods are at least as efficient as higher order finite difference ... in such a way that they satisfy the boundary conditions to fourth-order accuracy.
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71 Higher Order Generalized Impedance Boundary Conditions in ...
http://www.uni-goettingen.de/de/document/download/32c0be7cf4486d5d09ab6bd4daeedb8e.pdf/coursehaddarzusatz2008.pdf
Higher Order Generalized Impedance Boundary Conditions in Electromagnetic Scattering Problems. M. Duruflé, H. Haddar and P. Joly.
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72 High-order non-reflecting boundary scheme for time ...
https://dl.acm.org/doi/abs/10.1016/S0021-9991%2803%2900005-6
The infinite domain is truncated via an artificial boundary B, and a high-order non-reflecting boundary condition (NRBC) is imposed on B. Then the problem ...
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73 On some higher order boundary value problems at resonance ...
https://ajms.ksu.edu.sa/sites/ajms.ksu.edu.sa/files/imce_images/on-some-higher-order-boundary-value-problems-at-re_2018_arab-journal-of-math.pdf
To the best of our knowledge, the corresponding problem for higher-order ordinary differential equations with integral boundary conditions at resonance has ...
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74 orthogonality relation for a class of problems with high-order ...
https://academic.oup.com/qjmam/article/52/2/161/1890974
Such wall conditions are found in models of fluid-structural interaction, for example, membrane or plate boundaries, and in electromagnetic wave ...
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75 how to solve a higher order boundary conditioned differential ...
https://stackoverflow.com/questions/69964131/how-to-solve-a-higher-order-boundary-conditioned-differential-equation-with-matl
You could play with some perturbations of the problem, set y(0) to some small negative value, desingularize the equation as y'''' = C/(eps^2+(ax ...
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76 Comparison of Wall Boundary Conditions for Numerical ...
https://spiral.imperial.ac.uk/bitstream/10044/1/346/1/Comparison%20of%20wall%20boundary%20conditions%20for.pdf
Non-linear pressure and velocity boundary conditions ... The pressure boundary condition on the walls for the high order splitting scheme.
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77 High-Order Gradients with the Shifted Boundary Method
https://hal.inria.fr/hal-02269007/document
We also show that the the primary variable is third-order accurate, when pure Dirichlet boundary conditions are embedded. Keywords: Darcy flow; ...
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78 Vorticity Boundary Condition and Related Issues for Finite ...
https://web.math.princeton.edu/~weinan/papers/cfd5.pdf
Running head: Vorticity Boundary Condition for Finite Difference Schemes ... It was not clear for example whether high order formulas such as Pearson's were ...
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79 Application of low-order potential solutions to higher-order ...
https://royalsocietypublishing.org/doi/10.1098/rsos.180203
In this paper, a finite number of closed-form solutions for lower-order boundary conditions are superimposed to accurately approximate a ...
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80 Imposition of boundary conditions by modifying the weighting ...
http://www.iust.ac.ir/files/mech/madoliat_bcc09/pdf/Imposition%20of%20boundary%20conditions.pdf
KEY WORDS: higher-order differential equations; collocation method; modified weighting coe cient matrix; multiple boundary conditions; ...
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81 What Are Boundary Conditions? Numerics Background
https://www.simscale.com/docs/simwiki/numerics-background/what-are-boundary-conditions/
Boundary conditions are constraints necessary for the solution of a boundary value problem. It is opposed to the initial value problem.
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82 A HIGH ORDER DIFFERENCE SCHEME FOR TWO ...
https://www.computmath.com/jssx/EN/10.12286/jssx.2019.3.266
A high order difference scheme is established for two-dimensional linear hyperbolic equation with Neumann boundary conditions.
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83 variational iteration technique for solving higher order ...
https://www.ejournals.eu/pliki/art/8439/
FOR SOLVING HIGHER ORDER BOUNDARY VALUE. PROBLEM WITH ADDITIONAL BOUNDARY CONDITION. ITERACYJNA TECHNIKA WARIACYJNA ZASTOSOWANA.
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84 Solutions of a Class of Sixth Order Boundary Value Problems ...
https://www.hindawi.com/journals/aaa/2013/560590/
Higher order boundary value problems arise in the study of astrophysics, hydrodynamic and hydromagnetic stability, fluid dynamics, astronomy, beam and long ...
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85 HIGHER ORDER BOUNDARY CONDITIONS AND CURVED ...
https://www.vki.ac.be/download/dcsummaries/07-08/sum_vymazal_pr200828.pdf
HIGHER ORDER BOUNDARY CONDITIONS AND CURVED BOUNDARY. REPRESENTATION FOR RESIDUAL DISTRIBUTION SCHEMES. Martin Vymazal, Czech Republic.
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86 Modelling Boundary Conditions in High-Order, Nodal, Time ...
https://pub.dega-akustik.de/ICA2019/data/articles/000509.pdf
Modeling boundary conditions in high-order, nodal, time-domain finite element methods. Finnur PIND(1,2)∗, Cheol-Ho JEONG(2), Jan S. HESTHAVEN(3), ...
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87 Positive Solutions for a Fourth Order Boundary Value Problem
https://digitalcommons.kennesaw.edu/cgi/viewcontent.cgi?article=2114&context=facpubs
Abstract. We consider a boundary value problem for the beam equation, in which the boundary conditions mean that the beam is embedded at one end.
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88 Solutions of Higher Order Boundary Value Problems by ...
https://einspem.upm.edu.my/journal/fullpaper/vol10sfeb2/No32.pdf
In this paper, homotopy perturbation method is applied to the high-order nonlinear boundary value problems namely fourth-order and seventh- order.
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89 High Order Boundary Value Problems: Existence, Localization ...
https://novapublishers.com/shop/high-order-boundary-value-problems-existence-localization-and-multiplicity-results/
Math. Anal. Appl., Vol. 339/2(2008) 1342-1353.[70] F. Minh´os, J. Fialho, On the solvability of some fourth-order equations with functional boundary conditions, ...
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90 The LS-SVM algorithms for boundary value problems of high ...
https://d-nb.info/1200810384/34
to solving two-point boundary value problems of high-order linear and nonlinear ordinary differential equations. Although these numerical methods provide ...
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91 High-Order Finite-Difference Discretization for Steady-State ...
https://math.mit.edu/classes/18.086/2014/reports/AbdulazizAlbaiz.pdf
The above-described finite-difference method works well with regular rect- angular grid, and boundary conditions, whether they are Dirichlet or ...
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92 A high-order finite difference method with immersed-boundary ...
https://orbit.dtu.dk/files/265791466/PhD_Thesis_Yan_Xu_MEK.pdf
finite difference based potential flow solver with all boundary conditions addressed by an immersed boundary method has been developed in this thesis.
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93 Differential Equations - Hyperphysics
http://hyperphysics.phy-astr.gsu.edu/hbase/diff.html
It is second order because of the highest order derivative present, ... The boundary conditions on a differential equation are the constraining values of ...
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