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

Yuling Guo & Jianguo Huang

DOI: 10.4208/cicp.OA-2016-0181

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} }
TY - JOUR T1 - A Domain Decomposition Based Spectral Collocation Method for Lane-Emden Equations AU - Yuling Guo & Jianguo Huang JO - Communications in Computational Physics VL - 2 SP - 542 EP - 571 PY - 2018 DA - 2018/04 SN - 22 DO - http://doi.org/10.4208/cicp.OA-2016-0181 UR - https://global-sci.org/intro/article_detail/cicp/11310.html KW - AB -

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.

Yuling Guo and Jianguo Huang. (2018). A Domain Decomposition Based Spectral Collocation Method for Lane-Emden Equations. Communications in Computational Physics. 22 (2). 542-571. doi:10.4208/cicp.OA-2016-0181
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