| Abstrakt: |
AbstractThis paper concerns the study of the numerical approximation for the following initial-boundary value problem:where ƒ : 0, ∞) → 0, ∞) is a C2convex, nondecreasing function,and is a positive parameter. Under some assumptions, we prove that the solution of a semidiscrete form of the above problem blows up in a finite time and estimate its semidiscrete blow-up time. We also show that the semidiscrete blow-up time in certain cases converges to the real one when the mesh size tends to zero. Finally, we give some numerical experiments to illustrate our analysis. |
