Solving two point boundary value problems for ordinary differential equations using exponential finite difference method

Solving two point boundary value problems for ordinary differential equations using exponential finite difference method

In this article, a new exponential finite difference scheme for  the numerical solution of two point boundary value problems with Dirichlet's boundary conditions is proposed. The scheme is based on an exponential approximation of the Taylor expansion for the discretized derivative .The converge...

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Bibliographic Details
Main Author: Pramod K. Pandey
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2016-10-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Two-point Boundary value problems
Exponential finite difference method
Fourth order finite difference method
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/22424
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spelling doaj-fa8d3bf595424ab68d7605bf35d183042020-11-24T21:06:47ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882016-10-01341455210.5269/bspm.v34i1.2242411590Solving two point boundary value problems for ordinary differential equations using exponential finite difference methodPramod K. Pandey0Dyal Singh College (Univ. of Delhi) Department of MathematicsIn this article, a new exponential finite difference scheme for  the numerical solution of two point boundary value problems with Dirichlet's boundary conditions is proposed. The scheme is based on an exponential approximation of the Taylor expansion for the discretized derivative .The convergence of the scheme discussed under appropriate condition .The theoretical and numerical results  show that this new scheme is efficient and at least fourth order accurate.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/22424Two-point Boundary value problemsExponential finite difference methodFourth order finite difference method
collection DOAJ
language English
format Article
sources DOAJ
author Pramod K. Pandey
spellingShingle Pramod K. Pandey
Solving two point boundary value problems for ordinary differential equations using exponential finite difference method
Boletim da Sociedade Paranaense de Matemática
Two-point Boundary value problems
Exponential finite difference method
Fourth order finite difference method
author_facet Pramod K. Pandey
author_sort Pramod K. Pandey
title Solving two point boundary value problems for ordinary differential equations using exponential finite difference method
title_short Solving two point boundary value problems for ordinary differential equations using exponential finite difference method
title_full Solving two point boundary value problems for ordinary differential equations using exponential finite difference method
title_fullStr Solving two point boundary value problems for ordinary differential equations using exponential finite difference method
title_full_unstemmed Solving two point boundary value problems for ordinary differential equations using exponential finite difference method
title_sort solving two point boundary value problems for ordinary differential equations using exponential finite difference method
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2016-10-01
description In this article, a new exponential finite difference scheme for  the numerical solution of two point boundary value problems with Dirichlet's boundary conditions is proposed. The scheme is based on an exponential approximation of the Taylor expansion for the discretized derivative .The convergence of the scheme discussed under appropriate condition .The theoretical and numerical results  show that this new scheme is efficient and at least fourth order accurate.
topic Two-point Boundary value problems
Exponential finite difference method
Fourth order finite difference method
url http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/22424
work_keys_str_mv AT pramodkpandey solvingtwopointboundaryvalueproblemsforordinarydifferentialequationsusingexponentialfinitedifferencemethod
_version_ 1716764721294606336

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