Numerical Solutions of Regularized Long Wave Equation By Haar Wavelet Method

被引：54

作者：

Oruc, O. ^{[2
]}

Bulut, F. ^{[1
]}

Esen, A. ^{[2
]}

机构：

[1] Inonu Univ, Dept Phys, TR-44280 Malatya, Turkey

[2] Inonu Univ, Dept Math, TR-44280 Malatya, Turkey

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 05期

关键词：

Regularized long wave; Haar wavelet method; Finite difference; Wavelets; SPLINE COLLOCATION ALGORITHMS; RLW EQUATION; GALERKIN METHOD; COMPUTATIONAL METHOD; APPROXIMATION; SIMULATION; SCHEME; 2D;

D O I：

10.1007/s00009-016-0682-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are going to investigate numerical solutions of the regularized long wave (RLW) equation by using Haar wavelet (HW), combined with finite difference method. The motion of a single solitary wave, interaction of two solitary waves, Maxwellian initial condition and wave undulation are our test problems for measuring performance of the proposed method. The results of computations are compared with exact solutions and those already published. and error norms and the numerical conservation laws are computed for discussing the accuracy and efficiency of the proposed method.

引用

页码：3235 / 3253

页数：19

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