SOLVING THE REACTION-DIFFUSION EQUATION BY THE FINITE DIFFERENCE METHOD
Abstract
In this paper, we used the implicit Euler method and the Adams-Moulton method to solve a parabolic problem defined in ] -1; 1[. It is an equation that combines a chemical reaction and diffusion process in two dimensions with Dirichlet boundary conditions, where the term u(x, y, t) denotes the concentration of a certain chemical product during a chemical reaction.
Fields of Study & Subjects
Singular Perturbation
Asymptotics and Difference Schemes
Differential Equations and Boundary Problems
Numerical Solvers for Ordinary Differential Equations
Publication details
- Journal / source
- International Journal of Numerical Methods and Applications
- Volume
- 26
- Issue
- 1
- Pages
- 197–213
- Publication date
- 11 March 2026
- Language
- EN