LAPLACE-SBA METHOD FOR SOLVING REACTION-DIFFUSION-CONVECTION TYPE EQUATIONS FROM POROUS MEDIA

Abstract

In this article, the Laplace-SBA method is used to solve some nonlinear parabolic problems arising from porous media. This method is based on combination of Laplace transform and the SBA method. After a brief introduction to the Laplace transform, the basic principles of the SBA method are described. The process of employing the Laplace-SBA algorithm to determine the exact solution of a nonlinear equation is explained by considering three examples.