On the numerical solution of the Klein-Gordon equation by exponential cubic B-spline collocation method

Abstract

In the present study, we solve initial boundary value problem constructed on nonlinear Klein-Gordon equation. The collocation method on exponential cubic B-spline functions forming a set of basis for the functions defined in the same interval is set up for the numerical approach. The efficiency and validity of the proposed method are determined by computing the error between the numerical and the analytical solutions and relative change of the conserved quantities.