Finite difference approximations for a class of non-local parabolic equations
In this paper we study finite difference procedures for a class of parabolic equations with non-local boundary condition. The semi-implicit and fully implicit backward Euler schemes are studied. It is proved that both schemes preserve the maximum principle and monotonicity of the solution of the ori...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
1997-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171297000215 |