%0 Journal Article
%T Blow-up for Semidiscretization of Semilinear Parabolic Equation With Nonlinear Boundary Condition | Ganon | Journal of Mathematics Research | CCSE
%A Ardjouma Ganon
%A Kidj¨¦gbo Tour¨¦
%A Manin Taha
%J Home | Journal of Mathematics Research | CCSE
%D 2019
%R 10.5539/jmr.v11n5p1
%X This paper deals with the study of the numerical approximation for the following semilinear equation with a nonlinear absorption term ut = uxx£¿ ¦Ëup, 0 < x < 1, t > 0, and a nonlinear flux boundary condition ux(0,t) = 0, ux(1,t) = uq(1,t), t > 0. We give conditions under which the positive semidiscrete solution blows up in a finite time. Convergence of the numerical blow-up time to the theoretical one when the mesh size goes to zero is established. Finally, we use an efficient algorithm to estimate the blow-up time
%U http://www.ccsenet.org/journal/index.php/jmr/article/view/0/40699