Geodesic
Asymptotic behavior for numerical solutions of a semilinear parabolic equation with a nonlinear boundary condition
Electronic transactions on numerical analysis, Tome 30 (2008), pp. 237-246.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: This paper concerns the study of the numerical approximation for the following initial-boundary value problem, $\sterling $########$${\S}$$###$\ddot \sterling $###$\copyright \copyright \sterling $! #"%$\"('0)213 4 \sterling ###$©$56 47)98@$$###$$( 4!$£$###$©$59'7)98A\%BC$£$###$$DE5F'F)98{\S}$$###$ddot4$!)21G 4 $£H56IF 8P$$###$$Q$\sterling $###$$R456$$###$$82SG 4T #UG$VUW' where $X1( , BY1Q and $1\ddot $ab1c' . We show that the solution of a semidiscrete form of the initial value problem ` above goes to zero as )$ approaches infinity and give its asymptotic behavior. We provide some numerical experiments that illustrate our analysis.$$
Classification : 35B40, 35B50, 35K60, 65M06
Keywords: semidiscretizations, semilinear parabolic equation, asymptotic behavior, convergence 
@article{ETNA_2008__30__a11,
     author = {Diabate, Nabongo and Boni, Th\'eodore K.},
     title = {Asymptotic behavior for numerical solutions of a semilinear parabolic equation with a nonlinear boundary condition},
     journal = {Electronic transactions on numerical analysis},
     pages = {237--246},
     publisher = {mathdoc},
     volume = {30},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__30__a11/}
}
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Diabate, Nabongo; Boni, Théodore K. Asymptotic behavior for numerical solutions of a semilinear parabolic equation with a nonlinear boundary condition. Electronic transactions on numerical analysis, Tome 30 (2008), pp. 237-246. http://geodesic.mathdoc.fr/item/ETNA_2008__30__a11/