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

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 effi...

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 218; no. 9; pp. 5487 - 5495
Main Authors: Martín-Vaquero, J., Queiruga-Dios, A., Encinas, A.H.
Format: Journal Article
Language:English
Published: Elsevier Inc 2012
Subjects:
Algorithms
Boundary conditions
Computational efficiency
Convergence
Diffusion
Diffusion-reaction equations
Diffusion–reaction problem
Explicit technique
Mathematical analysis
Non-classic boundary value problems
Nonlinearity
Numerical examples
Explicit technique
Diffusion–reaction problem
Numerical examples
Non-classic boundary value problems
Convergence
ISSN:0096-3003, 1873-5649
Online Access:Get full text
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Summary: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.
Bibliography:ObjectType-Article-2
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ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2011.11.037