Chebyshev Operational Matrix Method for Lane-Emden Problem

Autor:	Sharma Bhuvnesh, Kumar Sunil, Paswan M.K., Mahato Dindayal
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	lane-emden equations chebyshev first kind operational matrix of differentiation isothermal gas spheres equation nonlinear ode Engineering (General). Civil engineering (General) TA1-2040
Zdroj:	Nonlinear Engineering, Vol 8, Iss 1, Pp 1-9 (2019)
Druh dokumentu:	article
ISSN:	2192-8010 2192-8029 2017-0157
DOI:	10.1515/nleng-2017-0157
Popis:	In 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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/fc134d3dbadf474bb54ad04a19982ed0 Zobrazit plný text záznamu View record in DOAJ