Numerical analysis of auto-catalytic glycolysis model
Source abstract
Abstract
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 unknown variables show concentration of chemical substances. Three numerical methods are used to solve glycolysis model. Two methods are well-known finite difference (FD) schemes and one is proposed FD scheme. The proposed scheme is explicit in nature. The main feature of the proposed FD scheme is to preserve the property of positivity retained by the glycolysis model. Results are compared with forward Euler explicit scheme and Crank Nicolson implicit scheme. All the attributes are verified by simulations.
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Research context
OpenAlex topics: Mathematical and Theoretical Epidemiology and Ecology Models · Numerical methods for differential equations · Spectroscopy and Quantum Chemical Studies
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mathematics, University of Management and Technology 1 , Lahore 54770, Pakistan
Department of Mathematics & Statistics, The University of Lahore 2 , Lahore 53700, Pakistan
Department of Mathematics, Lahore College for Women University 3 , Lahore 54600, Pakistan
Institute of Chemistry, University of the Punjab 4 , Lahore 54590, Pakistan
Faculty of Engineering, University of Central Punjab 5 , Lahore 54770, Pakistan
Centre of Undergraduate Studies, University of the Punjab 6 , Lahore 54590, Pakistan
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