• USING CRANK-NICLSON METHOD TO COMPUTE THE NUMERICAL BLOW-UP TIME OF A SEMILINEAR PARABOLIC PROBLEM

Maan A. Rasheed*, A. G. Farhan

Abstract


In this paper, we study the numerical blow-up solutions of the semilinear heat equation with power type nonlinearities, by using Crank-Nicolson method. We consider a numerical experiment, with quadratic or cubic non linearities, with using the stability condition which was first suggested in [2], with considering different values to the parameter which appear in this condition.Moreover, we studied the influence of using large or small values for on the numerical blow-up times for the problem.


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