A Time-Splitting Method for Nonlinear Advection-Diffusion-Reaction Equations
Abstract
A time-splitting method for nonlinear advection-diffusion-reaction equations
is formulated and analyzed. The advection-reaction part is solved using a
generalization of the nonstandard (nonlocal) time-stepping scheme developed
by Kojouharov&Chen, while the diffusion part is computed using a standard
(finite difference) scheme. The approach leads to significant qualitative
improvements in the behavior of the solution and is demonstrated on several
examples.
This is joined work with H. Kojouharov, Dept. Math..
