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Numerical algorithms for diffusion-reaction problems with non-classical conditions
DOI:10.1016/j.amc.2011.11.037.png)
Abstract
En 中文
Parabolic equations with nonlocal boundary conditions have been given considerable attention in recent years. In this paper new high-order algorithms for the linear diffusion-reaction problem are derived. The convergence of the new schemes is studied and numerical examples are given to show the efficiency of the new methods to solve linear and nonlinear diffusion-reaction equations with these non classical conditions. (C) 2011 Elsevier Inc. All rights reserved.
Keywords:
Non-classic boundary value problems
Explicit technique
Convergence
Numerical examples
Diffusion-reaction problem
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