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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| Vydáno v: | Applied mathematics and computation Ročník 218; číslo 9; s. 5487 - 5495 |
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| Jazyk: | angličtina |
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Elsevier Inc
2012
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| ISSN: | 0096-3003, 1873-5649 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Queiruga-Dios, A. Martín-Vaquero, J. Encinas, A.H. |
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| Keywords | Explicit technique Diffusion–reaction problem Numerical examples Non-classic boundary value problems Convergence |
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| Snippet | Parabolic equations with nonlocal boundary conditions have been given considerable attention in recent years. In this paper new high-order algorithms for the... |
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| SubjectTerms | 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 |
| Title | Numerical algorithms for diffusion–reaction problems with non-classical conditions |
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