RBF DQ Method for Solving Nonlinear Differential Equations of Lane Emden type

摘要

The Lane-Emden type equations are employed in the modelling of severalphenomena in the areas of mathematical physics and astrophysics . In this papera new numerical method is applied to investigate some well-known classes ofLane-Emden type equations which are nonlinear ordinary differential equationson the semi-infinite domain. We will apply a mesh-less method based on radialbasis function differential quadrature method. In RBFs-DQ the derivative valueof function with respect to a point is directly approximated by a linearcombination of all functional values in the global domain . The main aim ofthis method is the determination of weight coefficients. Here we concentrate onGaussian(GS) as a radial function for approximating the solution of thementioned equation. The comparison of the results with the other numericalmethods shows the efficiency and accuracy of this method.