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Abstract:

In this paper we study the dynamic behavior of positive solutions of the heat equation in one space dimension with a nonlinear flux boundary condition of the type ux = up-u at x = 1. We analyze the behavior of a semidiscrete numerical scheme in order to approximate the stable manifold of the only positive steady solution. We also obtain some stability properties of this positive steady solution and a description of its table manifold. © 2000 Plenum Publishing Corporation.

Registro:

Documento: Artículo
Título:Stable manifold approximation for the heat equation with nonlinear boundary condition
Autor:Acosta, G.; Bonder, J.F.; Rossi, J.D.
Filiación:Departamento de Matemática, F.C.E.Y.N., Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave:Nonlinear boundary conditions; Numerical approximations; Stable manifold
Año:2000
Volumen:12
Número:3
Página de inicio:557
Página de fin:578
DOI: http://dx.doi.org/10.1023/A:1026411611516
Título revista:Journal of Dynamics and Differential Equations
Título revista abreviado:J. Dyn. Differ. Equ.
ISSN:10407294
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10407294_v12_n3_p557_Acosta

Referencias:

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Citas:

---------- APA ----------
Acosta, G., Bonder, J.F. & Rossi, J.D. (2000) . Stable manifold approximation for the heat equation with nonlinear boundary condition. Journal of Dynamics and Differential Equations, 12(3), 557-578.
http://dx.doi.org/10.1023/A:1026411611516
---------- CHICAGO ----------
Acosta, G., Bonder, J.F., Rossi, J.D. "Stable manifold approximation for the heat equation with nonlinear boundary condition" . Journal of Dynamics and Differential Equations 12, no. 3 (2000) : 557-578.
http://dx.doi.org/10.1023/A:1026411611516
---------- MLA ----------
Acosta, G., Bonder, J.F., Rossi, J.D. "Stable manifold approximation for the heat equation with nonlinear boundary condition" . Journal of Dynamics and Differential Equations, vol. 12, no. 3, 2000, pp. 557-578.
http://dx.doi.org/10.1023/A:1026411611516
---------- VANCOUVER ----------
Acosta, G., Bonder, J.F., Rossi, J.D. Stable manifold approximation for the heat equation with nonlinear boundary condition. J. Dyn. Differ. Equ. 2000;12(3):557-578.
http://dx.doi.org/10.1023/A:1026411611516