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

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International Journal of Computer Applications
© 2013 by IJCA Journal
Volume 67 - Number 23
Year of Publication: 2013
Authors:
Dinkar Sharma
Sangeeta Arora
Sheo Kumar
10.5120/11532-5386

Dinkar Sharma, Sangeeta Arora and Sheo Kumar. Article: A Comparative Study of Galerkin Finite Element and B-Spline Methods for Two Point Boundary Value Problems. International Journal of Computer Applications 67(23):1-6, April 2013. Full text available. BibTeX

@article{key:article,
	author = {Dinkar Sharma and Sangeeta Arora and Sheo Kumar},
	title = {Article: A Comparative Study of Galerkin Finite Element and B-Spline Methods for Two Point Boundary Value Problems},
	journal = {International Journal of Computer Applications},
	year = {2013},
	volume = {67},
	number = {23},
	pages = {1-6},
	month = {April},
	note = {Full text available}
}

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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