Journal of Applied Mathematics, ( ISI ), Volume (2013), No (1), Year (2013-5) , Pages (1-9)

Title : ( A New Tau Method for Solving Nonlinear Lane-Emden Type Equations via Bernoulli Operational Matrix of Differentiation )

Authors: E. Tohidi , Kh. Erfani , Mortaza Gachpazan , S. Shateyi ,

Access to full-text not allowed by authors

Citation: BibTeX | EndNote

Abstract

A new and efficient numerical approach is developed for solving nonlinear Lane-Emden type equations via Bernoulli operational matrix of differentiation.Thefundamental structure of the presented method is based on theTaumethod togetherwith the Bernoulli polynomial approximations in which a new operational matrix is introduced. After implementation of our scheme, the main problem would be transformed into a system of algebraic equations such that its solutions are the unknown Bernoulli coefficients. Also, under severalmild conditions the error analysis of the proposed method is provided. Several examples are included to illustrate the efficiency and accuracy of the proposed technique and also the results are compared with the differentmethods. All calculations are done in Maple 13.

Keywords

, Tau Method, Lane-Emden Equations, Bernoulli Operational
برای دانلود از شناسه و رمز عبور پرتال پویا استفاده کنید.

@article{paperid:1036480,
author = {E. Tohidi and Kh. Erfani and Gachpazan, Mortaza and S. Shateyi},
title = {A New Tau Method for Solving Nonlinear Lane-Emden Type Equations via Bernoulli Operational Matrix of Differentiation},
journal = {Journal of Applied Mathematics},
year = {2013},
volume = {2013},
number = {1},
month = {May},
issn = {1110-757x},
pages = {1--9},
numpages = {8},
keywords = {Tau Method; Lane-Emden Equations; Bernoulli Operational},
}

[Download]

%0 Journal Article
%T A New Tau Method for Solving Nonlinear Lane-Emden Type Equations via Bernoulli Operational Matrix of Differentiation
%A E. Tohidi
%A Kh. Erfani
%A Gachpazan, Mortaza
%A S. Shateyi
%J Journal of Applied Mathematics
%@ 1110-757x
%D 2013

[Download]