An efficient numerical algorithm for solving system of Lane-Emden type equations arising in engineering

被引：18
|
作者：
Ozturk, Yalcin [1 ]
机构：
[1] Mugla Sitki Kocman Univ, Ula Ali Kocman Vocat High Sch, Mugla, Turkey
来源：
NONLINEAR ENGINEERING - MODELING AND APPLICATION | 2019年 / 8卷 / 01期
关键词：
Lane-Emden system; engineering problem; Chebyshev polynomials; operational matrix method;
D O I：
10.1515/nleng-2018-0062
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The purpose of this paper is to propose an efficient numerical method for solving system of Lane- Emden type equations using Chebyshev operational matrix method. This method transforms the system of Lane-Emden type equation into the system of algebraic equations with unknown Chebyshev coefficients. Some illustrative examples are given to demonstrate the efficiency and validity of the proposed algorithm.
引用
收藏
页码：429 / 437
页数：9
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