用Jacobi拟谱方法求解半直线上的非线性Klei-Gordon方程(英文)

A Jacobi Pseudospectral Method for Solving the Nonlinear Klein-Gordon Equation on the Half Line

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摘要研究半直线上的非线性Klein-Gordon方程的数值求解方法。通过适当的变换,将此问题变成有限区间上的某类奇异问题。然后利用Jacobi拟谱方法来求解。证明了拟谱格式的稳定性和收敛性。数值结果也说明了该方法的有效性。 A Jacobi pseudospectral method is proposed for the nonlinear Klein -Gordon (NLKG) equation on the half line with rough asymptotic behaviors at infinity. The stability and convergence of the proposed scheme are proved. Numerical results illustrate the efficiency of this approach.

作者王立联

机构地区上海师范大学数理信息学院

出处《上海师范大学学报（自然科学版）》 2002年第4期1-7,共7页 Journal of Shanghai Normal University(Natural Sciences)

基金 Shanghai Natural Science Foundation(00JC14057) Shanghai Natural Science Foundation for Youth(01QN85)

关键词非线性KLEIN-GORDON方程半直线 Jacobi拟谱方法拟谱格式数值解法稳定性 NLKG equation the half line Jacobi pseudospectral method

分类号 O175.29 [理学—基础数学] O241 [理学—计算数学]

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共引文献11

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上海师范大学学报（自然科学版）

2002年第4期

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用Jacobi拟谱方法求解半直线上的非线性Klei-Gordon方程(英文)

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共引文献11

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