An Efficient Linearized Difference Algorithm for a Diffusive Sel′kov–Schnakenberg System

Abstract

This study provides an efficient linearized difference algorithm for a diffusive Sel′kov–Schnakenberg system. The algorithm is developed by using a finite difference method that relies on a three-level linearization approach. The boundedness, existence and uniqueness of the solution of our proposed algorithm are proved. The numerical experiments not only validate the accuracy of the algorithm but also preserve the Turing patterns.