Volume 22, Issue 2
A Domain Decomposition Based Spectral Collocation Method for Lane-Emden Equations

Yuling Guo & Jianguo Huang

Commun. Comput. Phys., 22 (2017), pp. 542-571.

Published online: 2018-04

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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.

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@Article{CiCP-22-542, author = {Yuling Guo and Jianguo Huang}, title = {A Domain Decomposition Based Spectral Collocation Method for Lane-Emden Equations}, journal = {Communications in Computational Physics}, year = {2018}, volume = {22}, number = {2}, pages = {542--571}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0181}, url = {http://global-sci.org/intro/article_detail/cicp/11310.html} }
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