Numerical solution of one-dimensional Sine-Gordon equation using rational radial basis functions

被引：6

作者：

Shiralizadeh, Mansour ^{[1
]}

Alipanah, Amjad ^{[1
]}

Mohammadi, Maryam ^{[2
]}

机构：

[1] Univ Kurdistan, Dept Appl Math, Sanandaj, Iran

[2] Kharazmi Univ, Fac Math Sci & Comp, Tehran, Iran

来源：

JOURNAL OF MATHEMATICAL MODELING | 2022年 / 10卷 / 03期

关键词：

Sine-Gordon equation; Radial basis function; Rational radial basis function method; Conservation law; COLLOCATION; SIMULATION;

D O I：

10.22124/jmm.2021.20458.1780

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use the rational radial basis function (RRBF) method for solving the one dimensional Sine-Gordon (SG) equation, especially the case with steep front or sharp gradient solutions. The time and spatial derivatives are approximated by the finite difference and RRBF method, respectively. Some numerical experiments are given in both perturbed and unperturbed cases, and are compared with some other numerical methods to confirm the good accuracy of the presented method. The conservation law of energy is also investigated.

引用

页码：387 / 405

页数：19

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