Numerical solution of coupled nonlinear Klein-Gordon equations on unbounded domains

被引：2

作者：

Tai, Yinong ^{[1
]}

Li, Hongwei ^{[1
]}

Zhou, Zhaojie ^{[1
]}

Jiang, Ziwen ^{[1
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250358, Peoples R China

来源：

PHYSICAL REVIEW E | 2022年 / 106卷 / 02期

关键词：

NONREFLECTING BOUNDARY-CONDITIONS; DIFFERENCE APPROXIMATIONS; SCHRODINGER-EQUATIONS; WAVE-EQUATION; DISCRETIZATION;

D O I：

10.1103/PhysRevE.106.025317

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The numerical solution of coupled nonlinear Klein-Gordon equations on unbounded domains is considered by applying the artificial boundary method. Based on the unified approach to overcome the coupled nonlinearity, local artificial boundary conditions are designed on the introduced artificial boundaries. The original problem is reduced to an initial boundary value problem on a bounded domain, which can be efficiently solved by the finite difference method. Some numerical examples are provided to verify the accuracy and effectiveness of the proposed method.

引用

页数：10

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