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A Domain Decomposition Based Spectral Collocation Method for Lane-Emden Equations

Part of: Numerical analysis: Ordinary differential equations

Published online by Cambridge University Press:  21 June 2017

Yuling Guo  and
Jianguo Huang
Yuling Guo*
Affiliation:
School of Mathematical Sciences, and MOE-LSC, Shanghai Jiao Tong University, Shanghai 200240, P.R. China
Jianguo Huang*
Affiliation:
School of Mathematical Sciences, and MOE-LSC, Shanghai Jiao Tong University, Shanghai 200240, P.R. China
*
*Corresponding author. Email addresses:jghuang@sjtu.edu.cn (J. Huang), guoyuling56@163.com (Y. Guo)
*Corresponding author. Email addresses:jghuang@sjtu.edu.cn (J. Huang), guoyuling56@163.com (Y. Guo)
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Abstract

A domain decomposition based spectral collocation method is proposed for numerically solving Lane-Emden equations, which are frequently encountered in mathematical physics and astrophysics. Compared with the existing methods, this method requires less computational cost and is particularly suitable for long-term computation. The related error estimates are also established, indicating the spectral accuracy of the method. The numerical performance and efficiency of the method are illustrated by several numerical experiments.

Keywords

Multi-step Legendre-Gauss-Radau spectral collocation methodVolterra integro-differential equationdecomposition methodlong-term computationerror estimates

MSC classification

Secondary: 65L05: Initial value problems 65L06: Multistep, Runge-Kutta and extrapolation methods 65L20: Stability and convergence of numerical methods
Type
Research Article
Information
Communications in Computational Physics , Volume 22 , Issue 2 , August 2017 , pp. 542 - 571
Copyright
Copyright © Global-Science Press 2017 

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