A Domain Decomposition Based Spectral Collocation Method for Lane-Emden Equations. (21st June 2017)

• Record Type: Journal Article
• Authors: Guo, Yuling; Huang, Jianguo
• Is Part Of: Communications in computational physics. Volume 22:Number 2(2017:Aug.)
• Page Start: 542
• Page End: 571
• Publication Date: 2017-06-21
• Subjects: 65L05, -- 65L06, -- 65L20; Multi-step Legendre-Gauss-Radau spectral collocation method, -- Volterra integro-differential equation, -- decomposition method, -- long-term computation, -- error estimates; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.OA-2016-0181
• Languages: English
• ISSNs: 1815-2406

Abstract

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.