A numerical method for one-dimensional nonlinear sine-Gordon equation using multiquadric quasi-interpolation

被引：0

作者：

马利敏 ^{[1
]}

吴宗敏 ^{[1
]}

机构：

[1] Shanghai Key Laboratory for Contemporary Applied Mathematics,School of Mathematical Sciences,Fudan University

来源：

Chinese Physics B | 2009年 / 18卷 / 08期

关键词：

quasi-interpolation; Hardy Multiquadric (MQ) interpolation methods; sine-Gordon equations; scattered data approximation; meshless method;

D O I：

暂无

中图分类号：

O241.3 [插值法];

学科分类号：

070102 ;

摘要：

In this paper,we use a univariate multiquadric quasi-interpolation scheme to solve the one-dimensional nonlinear sine-Gordon equation that is related to many physical phenomena.We obtain a numerical scheme by using the derivative of the quasi-interpolation to approximate the spatial derivative and a difference scheme to approximate the temporal derivative.The advantage of the obtained scheme is that the algorithm is very simple so that it is very easy to implement.The results of numerical experiments are presented and compared with analytical solutions to confirm the good accuracy of the presented scheme.

引用

页码：3099 / 3103

页数：5

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