Zin, Shazalina Mat and Majid, Ahmad Abd and Ismail, Ahmad Izani Md. and Abbas, Muhammad
(2014)
Application of Hybrid Cubic B-Spline Collocation Approach for Solving a Generalized Nonlinear Klien-Gordon Equation.
Mathematical Problems in Engineering, 2014 (108560).
pp. 1-10.
ISSN 1024-123X
Abstract
The generalized nonlinear Klien-Gordon equation is important in quantum mechanics and related fields. In this paper, a semiimplicit approach based on hybrid cubic B-spline is presented for the approximate solution of the nonlinearKlien-Gordon equation. Theusual finite difference approach is used to discretize the time derivativewhile hybrid cubic B-spline is applied as an interpolating function in the space dimension.The results of applications to several test problems indicate good agreement with known solutions.
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