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

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

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.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

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:   

  1. A nonstandard finite difference technique for singular Lane-Emden type equations

    Chapwanya, Michael | Dozva, Robert | Muchatibaya, Gift

    Engineering Computations, Vol. 36 (2019), Iss. 5 P.1566

    https://doi.org/10.1108/EC-08-2018-0344 [Citations: 12]
  2. Orthonormal Bernoulli wavelets neural network method and its application in astrophysics

    Rahimkhani, Parisa | Ordokhani, Yadollah

    Computational and Applied Mathematics, Vol. 40 (2021), Iss. 3

    https://doi.org/10.1007/s40314-021-01475-w [Citations: 8]
  3. A single layer fractional orthogonal neural network for solving various types of Lane–Emden equation

    Hadian-Rasanan, A.H. | Rahmati, D. | Gorgin, S. | Parand, K.

    New Astronomy, Vol. 75 (2020), Iss. P.101307

    https://doi.org/10.1016/j.newast.2019.101307 [Citations: 44]