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Keywords

Implicit finite difference method
Nonlinear Klein-Gordon equation
convergence analysis

Abstract

This paper is devoted to drive the matrix algebraic equation for the one-dimensional nonlinear Klein-Gordon equation which is obtained from using the implicit finite difference method. The convergence analysis of the solution is discussed. Numerical computations are conducted and the solutions are stable and convergent when the sine function is used as an initial condition.  
https://doi.org/10.33899/csmj.2008.163952
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