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Numerical algorithms for diffusion-reaction problems with non-classical conditions

delete2012-01-01
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J
Jesús Martín Vaquero *
A
Araceli Queiruga‐Dios
A
Ascensión Hernández Encinas
DOI:10.1016/j.amc.2011.11.037delete
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Abstract

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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Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

Organization

U
University of Salamanca
Scholars:
1.1W
Papers: 8.0K
Citations: 9