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J.N. Reddy, An introduction to the finite element method, McGraw-Hill International Editions, third ed., New York, 2006.

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Article

The Modified Bi-quintic B-spline Base Functions: An Application to Diffusion Equation

1Department of Mathematics, Faculty of Arts and Sciences, İnönü University, Malatya, Turkey


International Journal of Partial Differential Equations and Applications. 2017, Vol. 5 No. 1, 26-32
DOI: 10.12691/ijpdea-5-1-4
Copyright © 2017 Science and Education Publishing

Cite this paper:
S. Kutluay, N. M. Yagmurlu. The Modified Bi-quintic B-spline Base Functions: An Application to Diffusion Equation. International Journal of Partial Differential Equations and Applications. 2017; 5(1):26-32. doi: 10.12691/ijpdea-5-1-4.

Correspondence to: N.  M. Yagmurlu, Department of Mathematics, Faculty of Arts and Sciences, İnönü University, Malatya, Turkey. Email: murat.yagmurlu@inonu.edu.tr

Abstract

In this paper, the bi-quintic B-spline base functions are modified on a general 2-dimensional problem and then they are applied to two-dimensional Diffusion problem in order to obtain its numerical solutions. The computed results are compared with the results given in the literature.

Keywords