Klein-Gordon方程混合问题的Chebyshev谱配置方法  

Chebyshev spectral collocation method for mixed problems of Klein-Gordon equation

作　　者：万广霞 刘治军 WAN Guangxia;LIU Zhijun(College of Mathematics and Statistics,Henan University of Science and Technology,Luoyang 471003,China)

机构地区：[1]河南科技大学数学与统计学院,河南洛阳471003

出　　处：《南阳师范学院学报》2024年第5期36-41,共6页Journal of Nanyang Normal University

基　　金：国家自然科学基金项目(11371123)。

摘　　要：针对有界域上的非线性Klein-Gordon方程,构造了时空全离散的Chebyshev谱配置格式,也就是在空间和时间方向上均以Chebyshev-Gauss-Lobatto节点作为配置点,将其转化为非线性方程组,利用不动点迭代方法来进行求解。数值实验结果表明了该方法的有效性和谱精度。A space-time fully discrete Chebyshev spectral collocation scheme is constructed for the nonlinear Klein-Gordon equation on bounded domain.That is,the Chebyshev-Gauss-Lobatto nodes are used as collocation points in both space and time directions,the equation is transformed into a nonlinear systems and solved by the fixed-point iterative method.Numerical experimental results demonstrate the efficiency and spectral accuracy of the method.

关 键 词：KLEIN-GORDON方程 混合问题 Chebyshev时空谱配置方法 

分 类 号：O241.82[理学—计算数学]