RBF DQ method for solving non linear differential equations of Lane Emden type
Abstract The Lane Emden type equations are employed in the modeling 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 non linear ordinary differential equations on the semi infinite domain 0 We will apply a meshless method based on radial basis function differential quadrature (RBF DQ) 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.