Numerical Solutions Based on Finite Difference Techniques for Two Dimensional Advection-Diffusion Equation
Muhannad A. M. Shallal, Borhan F. Jumaa
Journal of Advances in Mathematics and Computer Science · pp. 1–11 · Published 22 Apr 2016
10.9734/BJMCS/2016/25464Abstract
In this article, the two dimensional Advection- Diffusion equation has been solved by two finite difference techniques. In the first technique an Alternating Direction Implicit scheme (ADI) is used, this technique is a second order accurate in time and space. In the second technique a Crank Nicolson (CN) method is adapted. This method is known to be of order two in space and time, implicit in time, unconditionally stable and has higher order of accuracy. The numerical results are compared with the analytic solution to illustrate the performance and the efficiency of the methods.
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