A second-order accurate in time, positivity-preserving, and unconditionally energy stable
operator splitting scheme is proposed and analyzed for reaction-diffusion systems with the …

In this paper a numerical procedure is presented for solving a class of three-dimensional
Turing system. First, we discrete the spatial direction using element free Galerkin (EFG) …

The main objective of this article is to propose a chaos free explicit finite-difference (FD)
scheme to find the numerical solution for the Brusselator reactiondiffusion model. The …

The main purpose of this paper is to investigate the solution of general reaction–diffusion
glycolysis system numerically. Glycolysis model demonstrates the positive solution as the …

Although the isogeometric analysis has shown its great potential in achieving highly
accurate numerical solutions of partial differential equations, its efficiency is the main factor …

A mesh redistribution method is introduced to solve the Kohn-Sham equation. The standard
linear finite element space is employed for the spatial discretization, and the self-consistent …

In this paper, the authors investigate the numerical solutions of two-dimensional reaction–
diffusion equations with Neumann boundary conditions, known as Brusselator model, using …

Based on neural network and adaptive subspace approximation method, we propose a new
machine learning method for solving partial differential equations. The neural network is …

In this paper, we explore pattern formation in a four-species variational Gary-Scott model,
which includes all reverse reactions and introduces a virtual species to describe the birth …

Numerical Computations of Time–Dependent Auto–Catalytic Glycolysis Chemical Reaction–Diffusion
System Page 1 MATCH Communications in Mathematical and in Computer Chemistry …