The gradient discretisation method for the chemical reactions of biochemical systems
| Autor: | Yahya Alnashri, Hasan Alzubaidi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Arab Journal of Mathematical Sciences, Vol 30, Iss 1, Pp 67-80 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2588-9214 1319-5166 |
| DOI: | 10.1108/AJMS-01-2022-0021/full/pdf |
| Popis: | Purpose – The main purpose of this paper is to introduce the gradient discretisation method (GDM) to a system of reaction diffusion equations subject to non-homogeneous Dirichlet boundary conditions. Then, the authors show that the GDM provides a comprehensive convergence analysis of several numerical methods for the considered model. The convergence is established without non-physical regularity assumptions on the solutions. Design/methodology/approach – In this paper, the authors use the GDM to discretise a system of reaction diffusion equations with non-homogeneous Dirichlet boundary conditions. Findings – The authors provide a generic convergence analysis of a system of reaction diffusion equations. The authors introduce a specific example of numerical scheme that fits in the gradient discretisation method. The authors conduct a numerical test to measure the efficiency of the proposed method. Originality/value – This work provides a unified convergence analysis of several numerical methods for a system of reaction diffusion equations. The generic convergence is proved under the classical assumptions on the solutions. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|