International Journal of Partial Differential Equations and Applications
ISSN (Print): 2376-9548 ISSN (Online): 2376-9556 Website: http://www.sciepub.com/journal/ijpdea Editor-in-chief: Mahammad Nurmammadov
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International Journal of Partial Differential Equations and Applications. 2017, 5(1), 26-32
DOI: 10.12691/ijpdea-5-1-4
Open AccessArticle

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

S. Kutluay1 and N. M. Yagmurlu1,

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

Pub. Date: August 11, 2017

Cite this paper:
S. Kutluay and 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

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:
Galerkin Finite Element Method Bi-quintic B-splines Two-dimensional B-splines Modified bi-quintic B-splines Two-dimensional Diffusion Equation

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