Numerical solution of nonlinear Klien-Gordon equation by using cubic trigonometric B-spline method

In this paper, we present a cubic trigonometric b-spline method for the numerical solution of the nonlinear one-dimensional Klien-Gordon equation. The method is shown to have second order conver- gence. The proposed method reduces to the system of algebraic equations. The convergence analysis of the method has been discussed. Numerical results are conducted to demonstrate the e ciency of the method.

Keywords:

Trigonometric b-spline , Klien-Gordon equation , Convergence analysis.