Characteristics Incorporated Boundary Element for One-Dimensional Convective Diffusion Problem
The aims of this paper are to present characteristics incorporated a boundary method for solving unsteady convective diffusion problems, and to discuss on a error estimate of the present method. The error estimate is similar to Thomee’s theorem1 which is established to a parabolic equation. The present method is also able to be applied to a nonlinear convective diffusion problem, though this is a boundary method. Numerical results for linear and nonlinear convective diffusion problems is shown.
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