This work relates to the study of numerical blow-up solution for the semilinear parabolic problem with a potential v and with Dirichlet boundary conditions After obtaining some conditions under which the numerical approximation solution blows up in a finite time, we establish the convergence of the numerical blow-up time. We also estimate its blow-up time and obtain some results on numerical blow-up rate.

numerical blow-up, semilinear parabolic equations, numerical blow-up rate, potential.

Received: July 13, 2021; Revised: September 20, 2021; Accepted: October 25, 2021; Published: November 16, 2021

How to cite this article: Paterne A. T. Diabaté, Adama Coulibaly, Kouamé B. Edja and Augustin K. Touré, Numerical Blow-Up for a Semilinear Parabolic Equation with a Potential, International Journal of Numerical Methods and Applications 20(2) (2021), 115-133. DOI: 10.17654/NM020020115

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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