A numerical solution for a variable-order reaction–diffusion model by using fractional derivatives with non-local and non-singular kernel

2018 ◽  
Vol 491 ◽  
pp. 406-424 ◽  
Author(s):  
A. Coronel-Escamilla ◽  
J.F. Gómez-Aguilar ◽  
L. Torres ◽  
R.F. Escobar-Jiménez
Keyword(s):  
Numerical Solution ◽  
Diffusion Model ◽  
Fractional Derivatives ◽  
Reaction Diffusion ◽  
Order Reaction ◽  
Singular Kernel ◽  
Variable Order ◽  
Reaction Diffusion Model ◽  
Non Local

Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments

2021 ◽  
Vol 89 ◽  
pp. 819-836 ◽  
Author(s):  
O. Nikan ◽  
J.A. Tenreiro Machado ◽  
A. Golbabai
Keyword(s):  
Numerical Solution ◽  
Diffusion Model ◽  
Fourth Order ◽  
Reaction Diffusion ◽  
Order Reaction ◽  
Reaction Diffusion Model

scholarly journals Validation of numerical solution of diffusive part in a reaction–diffusion model

2017 ◽  
Vol 74 (1) ◽  
pp. 143-156 ◽  
Author(s):  
E.C. Herrera-Hernández ◽  
M. Núñez-López ◽  
J.A. González-Calderón
Keyword(s):  
Numerical Solution ◽  
Diffusion Model ◽  
Reaction Diffusion ◽  
Reaction Diffusion Model ◽  
Diffusive Part

A reaction–diffusion model for the non-local coupled system: existence, uniqueness, long-time behaviour and localization properties of solutions

2016 ◽  
Vol 81 (2) ◽  
pp. 344-364 ◽  
Author(s):  
Rui M. P. Almeida ◽  
Stanislav N. Antontsev ◽  
José C. M. Duque ◽  
Jorge Ferreira
Keyword(s):  
Diffusion Model ◽  
Reaction Diffusion ◽  
Coupled System ◽  
Time Behaviour ◽  
Long Time Behaviour ◽  
Reaction Diffusion Model ◽  
Long Time ◽  
Non Local

scholarly journals Numerical solution of a coupled reaction-diffusion model using barycentric interpolation collocation method

2020 ◽  
Vol 24 (4) ◽  
pp. 2561-2567
Author(s):  
Yu Zhang ◽  
Wei Zhang ◽  
Chenhui Zhao ◽  
Yulan Wang
Keyword(s):  
Approximate Solution ◽  
Numerical Solution ◽  
Collocation Method ◽  
Diffusion Model ◽  
Numerical Experiments ◽  
Reaction Diffusion ◽  
Barycentric Interpolation ◽  
Reaction Diffusion Model ◽  
Linear Reaction ◽  
Coupled Reaction

In thermal science, chemical and mechanics, the non-linear reaction-diffusion model is very important, and an approximate solution with high precision is always needed. In this article, the barycentric interpolation collocation method is proposed for this purpose. Numerical experiments show that the proposed approach is highly reliable.

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