Efficient high-order compact exponential time differencing method for space-fractional reaction-diffusion systems with nonhomogeneous boundary conditions

2019 ◽  
Vol 83 (4) ◽  
pp. 1373-1397 ◽  
Author(s):  
H. P. Bhatt ◽  
A. Q. M. Khaliq ◽  
K. M. Furati
Keyword(s):  
Boundary Conditions ◽  
Reaction Diffusion ◽  
Exponential Time ◽  
Reaction Diffusion Systems ◽  
Exponential Time Differencing ◽  
Nonhomogeneous Boundary ◽  
Diffusion Systems ◽  
Nonhomogeneous Boundary Conditions ◽  
Exponential Time Differencing Method ◽  
Fractional Reaction

scholarly journals Invariant Regions and Global Existence of Solutions for Reaction-Diffusion Systems with a Tridiagonal Matrix of Diffusion Coefficients and Nonhomogeneous Boundary Conditions

2007 ◽  
Vol 2007 ◽  
pp. 1-15 ◽  
Author(s):  
Abdelmalek Salem
Keyword(s):  
Global Existence ◽  
Diffusion Coefficients ◽  
Existence Of Solutions ◽  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Global Existence Of Solutions ◽  
Nonhomogeneous Boundary ◽  
Diffusion Systems ◽  
Invariant Regions ◽  
Nonhomogeneous Boundary Conditions

The purpose of this paper is the construction of invariant regions in which we establish the global existence of solutions for reaction-diffusion systems (three equations) with a tridiagonal matrix of diffusion coefficients and with nonhomogeneous boundary conditions after the work of Kouachi (2004) on the system of reaction diffusion with a full 2-square matrix. Our techniques are based on invariant regions and Lyapunov functional methods. The nonlinear reaction term has been supposed to be of polynomial growth.

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