Stability Criterion for Explicit Schemes (Finite-Difference Method) on the Solution of the Advection-Diffusion Equation
نویسنده
چکیده
The numerical solutions of the advection-diffusion equation are themselves numerous and sometimes very sophisticated, in order to avoid two undesirable features: oscillatory behavior and numerical diffusion. It is known that the common practice of “splitting-up” the solution is not always the best approach to the advection-diffusion problem. By using the ordinary differential equation analogy method (Aldama , 1987), this paper develops a stability criterion for theexplicit first order central scheme, for solving the advectiondiffusion equation in its linear steady flow form.
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