TY - JOUR T1 - A Domain Decomposition Based Spectral Collocation Method for Lane-Emden Equations 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.