Analysis of Semi-Discrete Finite Element Approximations for the Fisher-Kolmogorov Model

  • Ghassan Al-Juaifri Department of Mathematics,Faculty of Computer Science and Mathematics, University of Kufa, Kufa, Iraq
  • Mustafa N. Al-Fatlawi

Abstract

In this paper,der we investigate the numerical analysis of Fisher-Kolmogorov Model
type reaction-diusion equations on open bounded convex domains  with Neumann boundary conditions. Tow nite element schemes have introduce which
is the semi discrete approximation. The existence and uniqueness of their solutions is demonstrated for semi discrete nite element approximations.The convergence of semidiscrete Approximations to the exact solutions is presented.Analysis is done on the error boundaries between semi-discrete and exact solutions, semi-discrete and completely discrete solutions. 

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Published
2026-04-08
Section
Special Issue: Advances in Mathematical Sciences