On using a modified Legendre-spectral method for solving singular IVPs of LaneEmden type
In this paper, approximate solutions of singular initial value problems (IVPs) of the LaneEmden type in second-order ordinary differential equations (ODEs) are obtained by an improved Legendre-spectral method. The LegendreGauss points are used as collocation nodes and Lagrange interpolation is employed in the Volterra term. The results reveal that the method is effective, simple and accurate.
legendre-spectral method lagrange interpolation laneemden equation