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

Yange Wang and Xixian Bai ()
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Yange Wang: School of Computer Science, Zhengzhou University of Economics and Business, Zhengzhou 451191, China
Xixian Bai: School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China

Mathematics, 2024, vol. 12, issue 6, 1-15

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.

Keywords: finite difference method; Sel?kov–Schnakenberg system; boundedness; existence and uniqueness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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