An application of single-term Haar wavelet series in the solution of nonlinear oscillator equations

被引：19

作者：

Bujurke, N. M. ^{[1
]}

Shiralashetti, S. C. ^{[2
]}

Salimath, C. S. ^{[1
]}

机构：

[1] Karnatak Univ, Dept Math, Dharwad 580003, Karnataka, India

[2] SDM Coll Engn & Technol, Dept Math, Dharwad 02, Karnataka, India

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 227卷 / 02期

关键词：

STHWS; Operational matrix; Block pulse and discrete solutions; Gill's method; Duffing equation; Painleve's transcendents; NUMERICAL-SOLUTION; WALSH-SERIES; SYSTEMS;

D O I：

10.1016/j.cam.2008.03.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a novel single-term Haar wavelet series (STHWS) method is implemented for the solution of the Duffing equation and Painleve's transcendents (PI and PII). The results. in the form of a block pulse and a discrete solution, are presented. Unlike classical numerical schemes, the STHWS method has no restrictions on the coefficients of the Duffing equation as regards its solution. PI and PII are analysed as regards their solutions, up to nearest singularities (poles), using the STHWS. Also, an efficient computational implementation shows the remarkable features of wavelet based techniques. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：234 / 244

页数：11

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