Separation variable method combined with integral bifurcation method for solving time-fractional reaction–diffusion models

2020 ◽  
Vol 39 (4) ◽  
Author(s):  
Weiguo Rui ◽  
Hui Zhang
Keyword(s):  
Reaction Diffusion ◽  
Diffusion Models ◽  
Variable Method ◽  
Bifurcation Method ◽  
Separation Variable ◽  
Fractional Reaction

scholarly journals Numerical Analysis WSGD Scheme for One- and Two-Dimensional Distributed Order Fractional Reaction–Diffusion Equation with Collocation Method via Fractional B-Spline

2021 ◽  
Vol 7 (2) ◽  
Author(s):  
Mohammad Ramezani
Keyword(s):  
Diffusion Equation ◽  
Collocation Method ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Two Dimensional ◽  
Algebraic Equations ◽  
B Spline ◽  
Computational Work ◽  
Distributed Order ◽  
Fractional Reaction

AbstractThe main propose of this paper is presenting an efficient numerical scheme to solve WSGD scheme for one- and two-dimensional distributed order fractional reaction–diffusion equation. The proposed method is based on fractional B-spline basics in collocation method which involve Caputo-type fractional derivatives for $$0 < \alpha < 1$$ 0 < α < 1 . The most significant privilege of proposed method is efficient and quite accurate and it requires relatively less computational work. The solution of consideration problem is transmute to the solution of the linear system of algebraic equations which can be solved by a suitable numerical method. The finally, several numerical WSGD Scheme for one- and two-dimensional distributed order fractional reaction–diffusion equation.

scholarly journals The interplay between phenotypic and ontogenetic plasticities can be assessed using reaction-diffusion models

2017 ◽  
Vol 43 (2) ◽  
pp. 247-264 ◽  
Author(s):  
Aldo Ledesma-Durán ◽  
Lorenzo-Héctor Juárez-Valencia ◽  
Juan-Bibiano Morales-Malacara ◽  
Iván Santamaría-Holek
Keyword(s):  
Reaction Diffusion ◽  
Diffusion Models

scholarly journals Reaction time for trimolecular reactions in compartment-based reaction-diffusion models

2018 ◽  
Vol 148 (20) ◽  
pp. 204108
Author(s):  
Fei Li ◽  
Minghan Chen ◽  
Radek Erban ◽  
Yang Cao
Keyword(s):  
Reaction Time ◽  
Reaction Diffusion ◽  
Diffusion Models
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