https://doi.org/10.1140/epjp/s13360-020-00539-w
Regular Article
Structure preserving algorithms for mathematical model of auto-catalytic glycolysis chemical reaction and numerical simulations
1
Department of Mathematics, University of Management and Technology, Lahore, Pakistan
2
Faculty of Engineering, University of Central Punjab, Lahore, Pakistan
3
Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530, Ankara, Turkey
4
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan
5
Institute of Space Sciences, P.O. Box MG-23, 077125, Magurele, Bucharest, Romania
6
Faculty of Mathematics and Statistics, Ton Duc Thang University, 72915, Ho Chi Minh City, Vietnam
7
School of Engineering and Digital Arts, University of Kent, Canterbury Kent, UK
8
Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, 11991, Wadi Aldawaser, Saudi Arabia
9
Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
Received:
8
May
2020
Accepted:
15
June
2020
Published online:
24
June
2020
This paper aims to develop positivity preserving splitting techniques for glycolysis reaction–diffusion chemical model. The positivity of state variables in the glycolysis model is an essential property that must be preserved for all choices of parameters. We propose two splitting methods that remain dynamically consistent with the continuous glycolysis reaction–diffusion model. The proposed methods converge to a true steady-state or fixed point under the given condition. On contrary to the classical operator splitting finite difference methods, we use nonstandard finite difference theory to propose a new class of operator splitting techniques.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
