Legendre wavelets method for solving differential equations of Lane-Emden type

被引：147

作者：

Yousefi, Sohrab Ali ^{[1
]}

机构：

[1] Shahid Beheshti Univ, Dept Math, Tehran, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 181卷 / 02期

关键词：

Legendre wavelets; Lane-Emden equations; integral equations; Gaussian integration;

D O I：

10.1016/j.amc.2006.02.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical method for solving the Lane-Emden equations as singular initial value problems is presented. Using integral operator and convert Lane-Emden equations to integral equations and then applying Legendre wavelet approximations. The properties of Legendre wavelet are first presented. These properties together with the Gaussian integration method are then utilized to reduce the integral equations to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1417 / 1422

页数：6

共 13 条

[1]

Adomian G., 1986, Nonlinear stochastic operator equations

[2]

[Anonymous], 1987, APPL NUMERICAL METHO

[3]

[Anonymous], 1962, Introduction to Nonlinear and Differential Integral Equations

[4] FAST WAVELET TRANSFORMS AND NUMERICAL ALGORITHMS .1. [J].

BEYLKIN, G ;

COIFMAN, R ;

ROKHLIN, V .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1991, 44 (02) :141-183

[5]

Chandrasekhar S., 1967, An introduction to the study of stellar structure

[6]

Chui C. K., 1997, WAVELETS MATH TOOL S

[7]

Gu JS, 1996, INT J SYST SCI, V27, P623, DOI 10.1080/00207729608929258

[8] Legendre wavelets direct method for variational problems [J].

Razzaghi, M ;

Yousefi, S .

MATHEMATICS AND COMPUTERS IN SIMULATION, 2000, 53 (03) :185-192

[9]

Richardson O., 1921, The Emission of Electricity from Hot Bodies

[10] NUMERICAL-METHODS FOR SINGULAR BOUNDARY-VALUE PROBLEMS [J].

RUSSELL, RD ;

SHAMPINE, LF .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1975, 12 (01) :13-36

← 1 2 →