Asymptotic behavior for numerical solutions of a semilinear parabolic equation with a nonlinear boundary condition.
Diabaté Nabongo, Eodore K. Boni · 2008
Abstract. This paper concerns the study of the numerical approximation for the following initial-boundary value problem, where *;3 and. 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