Chebyshev wavelet method for numerical solutions of integro-differential form of Lane-Emden type differential equations

被引：10

作者：

Sahu, P. K. ^{[1
]}

Ray, S. Saha ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Rourkela 769008, Odisha, India

来源：

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2017年 / 15卷 / 02期

关键词：

Chebyshev wavelets; Volterra integro-differential equation; Lane-Emden type differential equations; Gaussian quadrature; INITIAL-VALUE PROBLEMS; OPERATIONAL MATRIX; INTEGRAL-EQUATIONS; ALGORITHM;

D O I：

10.1142/S0219691317500151

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper, Chebyshev wavelet method (CWM) has been applied to solve the second-order singular differential equations of Lane-Emden type. Firstly, the singular differential equation has been converted to Volterra integro-differential equation and then solved by the CWM. The properties of Chebyshev wavelets were first presented. The properties of Chebyshev wavelets via Gauss-Legendre rule were used to reduce the integral equations to a system of algebraic equations which can be solved numerically by Newton's method. Convergence analysis of CWM has been discussed. Illustrative examples have been provided to demonstrate the validity and applicability of the present method.

引用

页数：16

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