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.
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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