Asymptotic behavior for numerical solutions of a semilinear parabolic equation with a nonlinear boundary condition.
Asymptotic behavior for discretizations of a semilinear parabolic equation with a nonlinear boundary condition.
Quenching for semidiscretizations of a semilinear heat equation with Dirichlet and Neumann boundary conditions
This paper concerns the study of the numerical approximation for the following boundary value problem: where . We obtain some conditions under which the solution of a semidiscrete form of the above problem quenches in a finite time and estimate its semidiscrete quenching time. We also establish the convergence of the semidiscrete quenching time. Finally, we give some numerical experiments to illustrate our analysis.
Asymptotic behavior of solutions to nonlinear parabolic equation with nonlinear boundary conditions.
Numerical blow-up time for a semilinear parabolic equation with nonlinear boundary conditions.
Blow-up time of some nonlinear wave equations.
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