Two efficient computational algorithms to solve the singularly perturbed Lane-Emden problem
Abstract
In this paper, we decide to compare two new approaches based on Rational and Exponential Bessel functions (RBs and EBs) to solve several well-known class of Lane-Emden type models. The problems, which define in some models of non-Newtonian fluid mechanics and mathematical physics, are nonlinear ordinary differential equations of second-order over the semiinfinite interval and have singularity at x = 0. We have converted the nonlinear Lane-Emden equation to a sequence of linear equations by utilizing the quasilinearization method (QLM) and then, these linear equations have been solved by RBs and EBs collocation-spectral methods. Afterward, the obtained results are compared with the solution of other methods for demonstrating the efficiency and applicability of the proposed methods.
Cite
@article{arxiv.1708.07384,
title = {Two efficient computational algorithms to solve the singularly perturbed Lane-Emden problem},
author = {Kourosh Parand and Amin Ghaderi},
journal= {arXiv preprint arXiv:1708.07384},
year = {2017}
}
Comments
21 pages. arXiv admin note: text overlap with arXiv:1606.07615