1. Two efficient computational algorithms to solve the singularly perturbed Lane-Emden problem
- Author
-
Parand, Kourosh and Ghaderi, Amin
- Subjects
Mathematics - Numerical Analysis - 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., Comment: 21 pages. arXiv admin note: text overlap with arXiv:1606.07615
- Published
- 2017