B-SPLINE COLLOCATION APPROACH FOR SOLUTION OF KLEIN-GORDON EQUATION

Subject Areas : International Journal of Mathematical Modelling & Computations

J. Rashidinia ¹ , F. Esfahani ² , S. Jamalzadeh ³

1 - Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran Iran, Islamic Republic of
2 - Department of Mathemetics, Iran University of Science and Technology Iran, Islamic Republic of
3 - Department of Mathemetics, Iran University of Science and Technology Iran, Islamic Republic of

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2013-03-21

Keywords: Stability, Collocation, Klein-Gordon equation, Cubic B-spline method,

Abstract :

We develope a numerical method based on B-spline collocation method to solve linear Klein-Gordon equation. The proposed scheme is unconditionally stable. The results of numerical experiments have been compared with the exact solution to show the efficiency of the method computationally. Easy and economical implementation is the strength of this approach.