A Numerical Study of Diffusion-Convection Equations

Abstract

In this paper, problems involving timedependent diffusion-convection equation are studied. To study these problems, a numerical method is employed to solve the equation numerically. The method used in this research is a Laplace Transform Dual Reciprocity Method (LTDRM). Using this method, the time-dependent problem is transformed into a time-independent problem, which is easier to solve. A problem with the analytic solution is presented and solved using this method to analyze the accuracy of the method. Furthermore, a problem without an analytic solution is solved using the method. Results obtained are presented and discussed. Keywords—diffusion-convection, LTDRM, numerical solutions