Numerical Solution of Two-Dimensional Sine-Gordon Equation by using Pseudo-Spectral Method

Abdur Rashid


Two-Dimensional sine-Gordon Equation, Pseudo-Spectral Method


A pseudo-spectral method based on Legendre polynomial is used to solve two-dimensional (2D) sine-Gordon (SG) equation. A set of nonlinear system are generated by applying pseudo-spectral method to discrete version of the problem. The unknown function based on Kronecker product is introduced, The differential operational matrix is solved with such function. Numerical results are displayed to show the efficiency of the present method.

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