RBF DQ Method for Solving Nonlinear Differential Equations of Lane Emden type
Abstract
The Lane-Emden type equations are employed in the modelling of several phenomena in the areas of mathematical physics and astrophysics . In this paper a new numerical method is applied to investigate some well-known classes of Lane-Emden type equations which are nonlinear ordinary differential equations on the semi-infinite domain. We will apply a mesh-less method based on radial basis function differential quadrature method. In RBFs-DQ the derivative value of function with respect to a point is directly approximated by a linear combination of all functional values in the global domain . The main aim of this method is the determination of weight coefficients. Here we concentrate on Gaussian(GS) as a radial function for approximating the solution of the mentioned equation. The comparison of the results with the other numerical methods shows the efficiency and accuracy of this method.
Keywords
Cite
@article{arxiv.1510.06619,
title = {RBF DQ Method for Solving Nonlinear Differential Equations of Lane Emden type},
author = {Kourosh Parand and Soleiman Hashemi},
journal= {arXiv preprint arXiv:1510.06619},
year = {2016}
}
Comments
9 figures, 29 pages. arXiv admin note: substantial text overlap with arXiv:1509.04326