NUMERICAL SOLUTION FOR TWO-DIMENSIONAL NONLINEAR KLEIN-GORDON EQUATION THROUGH MESHLESS SINGULAR BOUNDARY METHOD

被引：0

作者：

Aslefallah, Mohammad ^{[1
]}

Abbasbandy, Saeid ^{[1
]}

Shivanian, Elyas ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Appl Math, Qazvin 34149, Iran

来源：

JOURNAL OF SCIENCE AND ARTS | 2023年 / 02期

关键词：

nonlinear Klein-Gordon equation; singular boundary method (SBM); method of particular solution; fundamental solution; FUNDAMENTAL-SOLUTIONS;

D O I：

10.46939/J.Sci.Arts-23.2-a02

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this study, the singular boundary method (SBM) is employed for the simulation of nonlinear Klein-Gordon equation with initial and Dirichlet-type boundary conditions. The ��-weighted and Houbolt finite difference method is used to discretize the time derivatives. Then the original equations are split into a system of partial differential equations. A splitting scheme is applied to split the solution of the inhomogeneous governing equation into homogeneous solution and particular solution. To solve this system, the method of particular solution in combination with the singular boundary method is used for particular solution and homogeneous solution, respectively. Finally, several numerical examples are provided and compared with the exact analytical solutions to show the accuracy and efficiency of method in comparison with other existing methods.

引用

页码：341 / 354

页数：14

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