Numerical Blow-Up Time for a Semilinear Parabolic Equation with Nonlinear Boundary Conditions

Abstract EN

We obtain some conditions under which the positive solution for semidiscretizations of the semilinear equation ut=uxx−a(x,t)f(u), 0

We also establish the convergence of the semidiscrete blow-up time and obtain some results about numerical blow-up rate and set.

Finally, we get an analogous result taking a discrete form of the above problem and give some computational results to illustrate some points of our analysis.