Numerical Investigation of Auto-Catalytic Glycolysis System Using a Composite Approach
Abstract
This paper presents a composite approach which involves forward finite difference, quasi-linearization technique and Haar wavelets to obtain numerical solution of auto-catalytic glycolysis reaction diffusion system with homogeneous Neumann boundary conditions. The time derivative terms present in the system have been approximated using forward finite difference approximation. Nonlinear terms in the system have been linearized using quasi-linearization technique and Haar wavelets have been employed to discretize the space derivatives. To verify the efficiency and accuracy of this approach, numerical simulation is carried out and the obtained solutions have been compared with the solutions given by finite difference scheme. The obtained approximate results validate the well known fact that auto-catalytic glycolysis reaction diffusion system possesses positive solution, as the solutions of auto-catalytic glycolysis reaction diffusion system denote the concentrations of chemical substances. The obtained solutions also satisfy the theory of auto-catalytic glycolysis reaction diffusion system i.e., the steady state solution converges to equilibrium point of auto-catalytic glycolysis reaction diffusion system.
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