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Paper Information

Journal:   JOURNAL OF MATHEMATICAL EXTENSION   2018 , Volume 12 , Number 2; Page(s) 15 To 32.
 
Paper: 

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

 
 
Author(s):  Jafari R., EZZATI R.*, MALEKNEJAD K.
 
* Department of Mathematics, Karaj Azad University, Karaj, Iran
 
Abstract: 
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.
 
Keyword(s): Hybrid functions,chebyshev polynomials,block-pulse functions,operational matrix of derivative,lane-emden type equations
 
References: 
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