Open AccessApproximate Solution of Non-Linear Reaction-Diffusion in A Thin Membrane: Taylor Series Method
Author(s) -
J. Visuvasam
Publication year - 2021
Publication title -
türk bilgisayar ve matematik eğitimi dergisi
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.218
H-Index - 3
ISSN - 1309-4653
DOI - 10.17762/turcomat.v12i1s.1934
Subject(s) - taylor series , nonlinear system , series (stratigraphy) , reaction–diffusion system , mathematics , dirichlet distribution , simple (philosophy) , exponential function , diffusion , boundary value problem , mathematical analysis , thermodynamics , physics , paleontology , philosophy , epistemology , quantum mechanics , biology
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.