Numerical simulation of the modified Korteweg-de Vries equation

被引:0
|
作者
A. Biswas
K. R. Raslan
机构
[1] Delaware State University,Department of Mathematical Sciences, Center for Research and Education in Optical Sciences and Applications
[2] King Saud University,Riyadh Community College
[3] Al-Azhar University,Department of Mathematics, Faculty of Science
来源
Physics of Wave Phenomena | 2011年 / 19卷
关键词
Soliton; Solitary Wave; Wave Phenomenon; Nonlinear Evolution Equation; Vries Equation;
D O I
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中图分类号
学科分类号
摘要
The modified Korteweg-deVries (MKdV) is numerically solved using a new algorithm based on the finite element approach applying Galerkin’s method with quadratic spline interpolation functions. The stability of the proposed scheme is discussed. Numerical tests for one, two, and three solitons have been used to assess the performance of the proposed scheme.
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页码:142 / 147
页数:5
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