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NUMERICAL SOLUTION OF TWO-DIMENSIONAL SINE-GORDON EQUATION BY USING PSEUDO-SPECTRAL METHOD

机译:二维正弦谱方程的伪谱法数值解

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摘要

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.
机译:基于Legendre多项式的伪谱方法用于求解二维(2D)正弦-戈登(SG)方程。通过将伪光谱方法应用于问题的离散版本,可以生成一组非线性系统。介绍了基于Kronecker乘积的未知函数,并利用该函数求解了微分运算矩阵。显示数值结果以显示本方法的效率。

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