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

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.

scholarly journals A new analyzing technique for nonlinear time fractional Cauchy reaction-diffusion model equations

2020 ◽  
Vol 19 ◽  
pp. 103462 ◽  
Author(s):  
Hijaz Ahmad ◽  
Tufail A. Khan ◽  
Imtiaz Ahmad ◽  
Predrag S. Stanimirović ◽  
Yu-Ming Chu
Keyword(s):  
Diffusion Model ◽  
Reaction Diffusion ◽  
Reaction Diffusion Model ◽  
Model Equations
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