Artificial boundary conditions for the linear advection diffusion equation

Author:
Laurence Halpern

Journal:
Math. Comp. **46** (1986), 425-438

MSC:
Primary 76-08; Secondary 35K20

DOI:
https://doi.org/10.1090/S0025-5718-1986-0829617-8

MathSciNet review:
829617

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Abstract: A family of artificial boundary conditions for the linear advection diffusion equation with small viscosity is developed. Well-posedness for the associated initial boundary value problem is analyzed. The error produced by truncating the domain is estimated. Numerical results are presented.

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DOI:
https://doi.org/10.1090/S0025-5718-1986-0829617-8

Article copyright:
© Copyright 1986
American Mathematical Society