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非线性Klein-Gordon方程的广义Jacobi谱配置方法 被引量:1

Generalized Jacobi Collocation Method for Nonlinear Klein-Gordon Equation
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摘要 构造非线性Klein-Gordon方程的广义Jacobi谱配置格式,并给出相应收敛性分析.文中的方法和技巧为设计和分析各类线性与非线性偏微分方程的谱配置格式提供了有效的框架. We propose a generalized Jacobi collocation method for the nonlinear Klein-Gordon equation. The spectral accuracy of numerical solution is proved. The main idea and techniques developed in this work provide an efficient framework for designing and analyzing collocation schemes of various linear and nonlinear partial differential equations.
作者 孙涛
出处 《应用数学》 CSCD 北大核心 2013年第2期465-470,共6页 Mathematica Applicata
基金 上海高校青年教师培养资助计划(ZZshjr12009)
关键词 非线性KLEIN-GORDON方程 广义Jacobi谱配置方法 收敛性分析 Nonlinear Klein-Gordon equation Generalized Jacobi collocation method Convergence analysis
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