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

A Domain Decomposition Based Spectral Collocation Method for Lane-Emden Equations
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Year:    2017

Communications in Computational Physics, Vol. 22 (2017), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2016-0181

Communications in Computational Physics, Vol. 22 (2017), Iss. 2 : pp. 542–571

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    30

Keywords:   

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