COMPARISON BETWEEN RATIONAL CHEBYSHEV AND MODIFIED GENERALIZED LAGUERRE FUNCTIONS PSEUDOSPECTRAL METHODS FOR SOLVING LANE-EMDEN AND UNSTEADY GAS EQUATIONS

摘要

In this paper we provide a pseudospectral method for Lane-Emden equation which models many phenomena in mathematical physics and astrophysics. We also use this method for solving unsteady gas equation which model unsteady flow of a gas through a semi-infinite porous medium. This approach is based on some orthogonal functions which will be defined. Pseudospectral method reduces the solution of these problems to the solution of systems of algebraic equations. We also compare this work with some other numerical results.