A nonclassical radau collocation method for nonlinear initial-value problems with applications to lane-emden type equations

We propose a numerical method for solving nonlinear initial-value problems of lane-emden type. the method is based upon nonclassical gauss-radau collocation points,and weighted interpolation. nonclassical orthogonal polynomials,nonclassical radau points and weighted interpolation are introduced on arbitrary intervals. then they are utilized to reduce the computation of nonlinear initial-value problems to a system of nonlinear algebraic equations. we also present the comparison of this work with some well-known results and show that the present solution is very accurate. © 2012 mohammad maleki et al.