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A Computer based Numerical Method for Singular Boundary Value Problems

by Yogesh Gupta, Manoj Kumar
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 30 - Number 1
Year of Publication: 2011
Authors: Yogesh Gupta, Manoj Kumar
10.5120/3607-5013

Yogesh Gupta, Manoj Kumar . A Computer based Numerical Method for Singular Boundary Value Problems. International Journal of Computer Applications. 30, 1 ( September 2011), 21-25. DOI=10.5120/3607-5013

@article{ 10.5120/3607-5013,
author = { Yogesh Gupta, Manoj Kumar },
title = { A Computer based Numerical Method for Singular Boundary Value Problems },
journal = { International Journal of Computer Applications },
issue_date = { September 2011 },
volume = { 30 },
number = { 1 },
month = { September },
year = { 2011 },
issn = { 0975-8887 },
pages = { 21-25 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume30/number1/3607-5013/ },
doi = { 10.5120/3607-5013 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:15:47.239926+05:30
%A Yogesh Gupta
%A Manoj Kumar
%T A Computer based Numerical Method for Singular Boundary Value Problems
%J International Journal of Computer Applications
%@ 0975-8887
%V 30
%N 1
%P 21-25
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A numerical method is presented in this paper which employs cubic trigonometric B-spline to solve linear two point second order singular boundary value problems for ordinary differential equations. The given singular boundary value problem is modified at the point of singularity. Then method utilizing the values of cubic trigonometric B-spline and its derivatives at nodal points is applied. Selected numerical examples are solved using MATLAB, which demonstrate the applicability and competence of present method.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Singular Boundary Value Problem Cubic Trigonometric B- spline nodal points system of equations maximum absolute error

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