Pattern Formation from Reaction–Diffusion Equation Using Discretization Method

2021 ◽  
pp. 149-155
Author(s):  
Atanu Maji
Keyword(s):  
Pattern Formation ◽  
Diffusion Equation ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Discretization Method

Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation

2001 ◽  
Vol 16 (2) ◽  
pp. 173-192 ◽  
Author(s):  
S. A. Gourley ◽  
M. A. J. Chaplain ◽  
F. A. Davidson
Keyword(s):  
Pattern Formation ◽  
Diffusion Equation ◽  
Temporal Pattern ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Spatio Temporal ◽  
Nonlocal Reaction

scholarly journals Pattern formation in a flux limited reaction–diffusion equation of porous media type

2016 ◽  
Vol 206 (1) ◽  
pp. 57-108 ◽  
Author(s):  
J. Calvo ◽  
J. Campos ◽  
V. Caselles ◽  
O. Sánchez ◽  
J. Soler
Keyword(s):  
Porous Media ◽  
Pattern Formation ◽  
Diffusion Equation ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Media Type

Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation

2001 ◽  
Vol 16 (2) ◽  
pp. 173-192 ◽  
Author(s):  
S. A. Gourley ◽  
M. A. J. Chaplain ◽  
F. A. Davidson
Keyword(s):  
Pattern Formation ◽  
Diffusion Equation ◽  
Temporal Pattern ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Spatio Temporal ◽  
Nonlocal 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.

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