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Mathematics of Computation

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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