Kourosh Parand

TL;DR: A collocation method for solving some well-known classes of Lane–Emden type equations which are nonlinear ordinary differential equations on the semi-infinite domain based on a Hermite function collocation (HFC) method is proposed.

TL;DR: A pseudospectral technique is proposed to solve the Lane-Emden type equations on a semi-infinite domain based on rational Legendre functions and Gauss-Radau integration to solve a system of nonlinear algebraic equations.

TL;DR: In this paper, a numerical technique for solving some physical problems on a semi-infinite interval is presented, which is based on a rational Legendre tau method and the operational matrices of derivative and product of rational linear Legendre functions are used to reduce the solution of these physical problems to the solutions of systems of algebraic equations.

TL;DR: This method is a combination of collocation method and radial basis functions with the differentiation process, using zeros of the shifted Legendre polynomial as the collocation points for the solution of nonlinear Volterra–Fredholm–Hammerstein integral equations.

TL;DR: In this article, an approximate method for solving higher-order ODEs is proposed based on a rational Chebyshev (RC) tau method, where the operational matrices of the derivative functions of the ODE are derived from the same matrix.