Numerical analysis of auto-catalytic glycolysis model

被引：19

作者：

Ahmed, Nauman ^{[1
,2
]}

Tahira, S. S. ^{[3
]}

Imran, M. ^{[4
]}

Rafiq, M. ^{[5
]}

Rehman, M. A. ^{[1
]}

Younis, M. ^{[2
,6
]}

机构：

[1] Univ Management & Technol, Dept Math, Lahore 54770, Pakistan

[2] Univ Lahore, Dept Math & Stat, Lahore 53700, Pakistan

[3] Women Univ, Lahore Coll, Dept Math, Lahore 54600, Pakistan

[4] Univ Punjab, Inst Chem, Lahore 54590, Pakistan

[5] Univ Cent Punjab, Fac Engn, Lahore 54770, Pakistan

[6] Univ Punjab, Ctr Undergrad Studies, Lahore 54590, Pakistan

来源：

AIP ADVANCES | 2019年 / 9卷 / 08期

关键词：

NONLINEAR SHRODINGERS EQUATION; FINITE-DIFFERENCE SCHEMES; LIE SYMMETRY ANALYSIS; OPTICAL SOLITONS; CONSERVATION-LAWS; DIFFUSION; DARK;

D O I：

10.1063/1.5112831

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

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. (C) 2019 Author(s).

引用

页数：9

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