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A Comparative Study of Galerkin Finite Element and B-Spline Methods for Two Point Boundary Value Problems

by Dinkar Sharma, Sangeeta Arora, Sheo Kumar
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 67 - Number 23
Year of Publication: 2013
Authors: Dinkar Sharma, Sangeeta Arora, Sheo Kumar
10.5120/11532-5386

Dinkar Sharma, Sangeeta Arora, Sheo Kumar . A Comparative Study of Galerkin Finite Element and B-Spline Methods for Two Point Boundary Value Problems. International Journal of Computer Applications. 67, 23 ( April 2013), 1-6. DOI=10.5120/11532-5386

@article{ 10.5120/11532-5386,
author = { Dinkar Sharma, Sangeeta Arora, Sheo Kumar },
title = { A Comparative Study of Galerkin Finite Element and B-Spline Methods for Two Point Boundary Value Problems },
journal = { International Journal of Computer Applications },
issue_date = { April 2013 },
volume = { 67 },
number = { 23 },
month = { April },
year = { 2013 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume67/number23/11532-5386/ },
doi = { 10.5120/11532-5386 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:26:12.133192+05:30
%A Dinkar Sharma
%A Sangeeta Arora
%A Sheo Kumar
%T A Comparative Study of Galerkin Finite Element and B-Spline Methods for Two Point Boundary Value Problems
%J International Journal of Computer Applications
%@ 0975-8887
%V 67
%N 23
%P 1-6
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In chemical engineering, deflection of beams and other area of engineering the two point boundary value problems with Neumann and mixed Robbin's boundary conditions have great importance. It is not easy task to solve numerically such type of problems. In this study a B-spline finite element has been introduced to get the solution of two point boundary value problem. Some test examples are considered for the applicability of the purposed scheme. Further the results are compared with simple Galerkin-finite element method and with the exact solution of the problems. Throughout the discussion, it is observed that the proposed technique is performing well.

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Index Terms

Computer Science
Information Sciences

Keywords

Finite Element Method B-Spline Dirichlet's boundary conditions Mixed Robbin's Boundary Conditions

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