r Jalilian - Department of Mathematics, Razi University Tagh Bostan, Kermanshah P.O. Box ۶۷۱۴۹۶۷۳۴۶ Iran
n Barzehkar - Department of Mathematics, Razi University Tagh Bostan, Kermanshah P.O. Box ۶۷۱۴۹۶۷۳۴۶ Iran

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.

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