Numerical Solution of Lane-Emden Type Equation by Using Hybrid Third Kind Chebyshev Polynomials and Block-Pulse Functions Operational Matrix of Differentiation

被引：0

作者：

Jafari, R. ^{[1
]}

Ezzati, R. ^{[1
]}

Maleknejad, K. ^{[1
]}

机构：

[1] Islamic Azad Univ, Karaj Branch, Dept Math, Math, Karaj, Iran

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2018年 / 12卷 / 02期

关键词：

Hybrid functions; chebyshev polynomials; block-pulse functions; operational matrix of derivative; lane-emden type equations;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, first, a numerical method is presented for solving generalized linear and nonlinear Lane-Emden type equations. The operational matrix of derivative is obtained by introducing hybrid third kind Chebyshev polynomials and Block-pulse functions. This matrix with the tau method is then utilized to transform the differential equation into a system of algebraic equations. Finally, the convergence analysis is investigated and the efficiency of the proposed method is indicated by some numerical examples.

引用

页码：15 / 32

页数：18

共 19 条

[1] A new operational matrix of derivative for hybrid third kind Chebyshev polynomials and Block-pulse functions and its applications in solving second-order differential equations
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[8] Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions
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[9] Numerical methods for solving Lane-Emden type differential equations by operational matrix of fractional derivative of modified generalized Laguerre polynomials
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[10] Numerical solution of linear Fredholm integral equation by using hybrid Taylor and Block-Pulse functions
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