• USING CRANK-NICLSON METHOD TO COMPUTE THE NUMERICAL BLOW-UP TIME OF A SEMILINEAR PARABOLIC PROBLEM
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.
Full Text:
pdfThis work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2022 International Journal of Mathematical Archive (IJMA) Copyright Agreement & Authorship Responsibility |