Solving nonlinear reaction–diffusion problem in electrostatic interaction with reaction-generated pH change on the kinetics of immobilized enzyme systems using Taylor series method

2021 ◽  
Vol 59 (5) ◽  
pp. 1332-1347
Author(s):  
S. Vinolyn Sylvia ◽  
R. Joy Salomi ◽  
L. Rajendran ◽  
Marwan Abukhaled
Keyword(s):  
Electrostatic Interaction ◽  
Immobilized Enzyme ◽  
Reaction Diffusion ◽  
Diffusion Problem ◽  
Series Method ◽  
Ph Change ◽  
Enzyme Systems ◽  
Nonlinear Reaction ◽  
Taylor Series Method ◽  
Kinetics Of

scholarly journals Approximate Solution of Non-Linear Reaction-Diffusion in A Thin Membrane: Taylor Series Method

2021 ◽  
Vol 12 (1S) ◽  
pp. 586-594
Author(s):  
J. Visuvasam, Et. al.
Keyword(s):  
Taylor Series ◽  
Neumann Boundary ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equations ◽  
Series Method ◽  
Thin Membrane ◽  
Nonlinear Reaction ◽  
Closed Type ◽  
Taylor Series Method ◽  
Exponential Function Method

The nonlinear reaction-diffusion cycle in the thin membrane that describes the chemical reactions involving three species is studied. The model consists of the system of on nonlinear reaction-diffusion equations. The closed type of analytical expression of concentrations for the enzyme was developed by solving equations using the Taylor series formula. This results in the mixed Dirichlet and Neumann boundary conditions. Taylor series method similar to exponential function method. This technique provides approximate and simple solutions that are quick, easy to compute, and efficiently correct. These estimated findings are compared to the nuxmerical results. There is a good agreement with the simulation results.

scholarly journals Residual power series method for solving nonlinear reaction-diffusion-convection problems

2021 ◽  
Vol 39 (3) ◽  
pp. 177-188
Author(s):  
Maisa Khader ◽  
Mahmoud H. DarAssi
Keyword(s):  
Power Series ◽  
Reaction Diffusion ◽  
Approximate Solutions ◽  
Series Method ◽  
Power Series Method ◽  
Residual Power Series Method ◽  
Nonlinear Reaction ◽  
Residual Power Series ◽  
Diffusion Convection ◽  
Residual Power

In this paper, the residual power series method (RPSM) is applied to one of the most frequently used models in engineering and science, a nonlinear reaction diffusion convection initial value problems. The approximate solutions using the RPSM were compared to the exact solutions and to the approximate solutions using the homotopy analysis method.

scholarly journals An ancient Chinese algorithm for two-point boundary problems and its application to the Michaelis-Menten kinetics

2021 ◽  
Vol 1 (4) ◽  
pp. 172-176
Author(s):  
Ji-Huan He ◽  
◽  
Shuai-Jia Kou ◽  
Hamid M. Sedighi ◽  
◽  
...  
Keyword(s):  
Infinite Series ◽  
Solution Process ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Initial Condition ◽  
Point Boundary ◽  
Boundary Problems ◽  
Nonlinear Reaction ◽  
Nonlinear Reaction Diffusion Equation ◽  
Taylor Series Method

<abstract><p>Taylor series method is simple, and an infinite series converges to the exact solution for initial condition problems. For the two-point boundary problems, the infinite series has to be truncated to incorporate the boundary conditions, making it restrictively applicable. Here is recommended an ancient Chinese algorithm called as <italic>Ying Buzu Shu</italic>, and a nonlinear reaction diffusion equation with a Michaelis-Menten potential is used as an example to show the solution process.</p></abstract>

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