Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Chebyshev Operational Matrix Method for Lane-Emden Problem

Chebyshev Operational Matrix Method for Lane-Emden Problem AbstractIn the this paper, a new modified method is proposed for solving linear and nonlinear Lane-Emden type equations using first kind Chebyshev operational matrix of differentiation. The properties of first kind Chebyshev polynomial and their shifted polynomial are first presented. These properties together with the operation matrix of differentiation of first kind Chebyshev polynomial are utilized to obtain numerical solutions of a class of linear and nonlinear LaneEmden type singular initial value problems (IVPs). The absolute error of this method is graphically presented. The proposed framework is different from other numerical methods and can be used in differential equations of the same type. Several examples are illuminated to reveal the accuracy and validity of the proposed method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Engineering de Gruyter

Chebyshev Operational Matrix Method for Lane-Emden Problem

Loading next page...
 
/lp/de-gruyter/chebyshev-operational-matrix-method-for-lane-emden-problem-LKDk0ic1xi

References (32)

Publisher
de Gruyter
Copyright
© 2019 B. Sharma et al., published by De Gruyter.
ISSN
2192-8029
eISSN
2192-8029
DOI
10.1515/nleng-2017-0157
Publisher site
See Article on Publisher Site

Abstract

AbstractIn the this paper, a new modified method is proposed for solving linear and nonlinear Lane-Emden type equations using first kind Chebyshev operational matrix of differentiation. The properties of first kind Chebyshev polynomial and their shifted polynomial are first presented. These properties together with the operation matrix of differentiation of first kind Chebyshev polynomial are utilized to obtain numerical solutions of a class of linear and nonlinear LaneEmden type singular initial value problems (IVPs). The absolute error of this method is graphically presented. The proposed framework is different from other numerical methods and can be used in differential equations of the same type. Several examples are illuminated to reveal the accuracy and validity of the proposed method.

Journal

Nonlinear Engineeringde Gruyter

Published: Jan 28, 2019

There are no references for this article.