The use of generalized Laguerre functions for solving the equation of magnetohydydinamic flow due to a stretching cylinder

Abstract

In this paper, we develop dual-Petrov-Galerkin approximations to linear third-order equation defined on unbounded domain. The convergence of proposed scheme is proved strictly. We also establish some basic results on generalized Laguerre orthogonal approximations. The nonlinear ordinary differential equation is solved using generalized Laguerre functions. Using the operational matrix of derivative, the problem is reduced to set of algebraic equations. We also present the comparison of this work with some other numerical results. It shows that the present solution is highly accurate.