Convergence Analysis of the Finite Difference Solution for the Nonlinear Klein-Gordon Equation
AL-Rafidain Journal of Computer Sciences and Mathematics,
2008, Volume 5, Issue 1, Pages 101-113
AbstractThis 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.
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