On Blow-up Time and Rate Of The Numerical Solutions of The Semilinear Heat Equation with Reaction Term

Maan Abdulkadhim Rasheed; A. G. Farhaan

Maan Abdulkadhim Rasheed Dept. of Maths. College of Basic Education, Al-Mustansirya University, Baghdad-Iraq http://orcid.org/0000-0001-8209-4458
A. G. Farhaan Dept. of Maths. College of Basic Education, Al-Mustansirya University, Baghdad-Iraq

Keywords: semilinear heat equation, blow-up solution, blow-up rate estimate, finite difference.

Abstract

In this paper, we study the numerical blow-up solutions and times of the semilinear heat equation with reaction term. We compute the blow-up growth rate in the numerical solutions of two numerical experiments, depending on the blow-up solutions and times, those have been computed using a finite difference method.

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