Haar wavelet operational methods for the numerical solutions of fractional order nonlinear oscillatory Van der Pol system

被引：39
|
作者：
Ray, S. Saha [1 ]
Patra, A. [1 ]
机构：
[1] Natl Inst Technol, Dept Math, Rourkela 769008, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 220卷
关键词：
Haar wavelets; Operational matrix; Block pulse function; Van der Pol equation; Fractional derivative; MATRIX;
D O I：
10.1016/j.amc.2013.07.036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an efficient numerical method for the solution of nonlinear damped Van der Pol equation based on the Haar wavelets approach is proposed. The proposed scheme can be used for solving one of the widely studied and challenging equation in nonlinear dynamics like the damped Van der Pol equation. We have applied a numerical procedure involving haar series for the highest order of derivative. Moreover the numerical result shows that the proposed mechanism is quite reasonable when compare to exact solution. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：659 / 667
页数：9
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