Adomian decomposition method for nonlinear reaction diffusion system of Lotka-Volterra type

2007 ◽  
Vol 2 ◽  
pp. 87-96 ◽  
Author(s):  
M. Alabdullatif ◽  
H. A. Abdusalam ◽  
E. S. Fahmy
Keyword(s):  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Volterra Type ◽  
Nonlinear Reaction ◽  
Adomian Decomposition

scholarly journals Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition Method

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Felicia Shirly Peace ◽  
Narmatha Sathiyaseelan ◽  
Lakshmanan Rajendran
Keyword(s):  
Decomposition Method ◽  
Nonlinear Differential Equations ◽  
Adomian Decomposition Method ◽  
Reaction Diffusion ◽  
Lewis Number ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Steady State Condition ◽  
Modified Adomian Decomposition Method ◽  
Adomian Decomposition

A mathematical model of the dynamics of the self-ignition of a reaction-diffusion system is studied in this paper. An approximate analytical method (modified Adomian decomposition method) is used to solve nonlinear differential equations under steady-state condition. Analytical expressions for concentrations of the gas reactant and the temperature have been derived for Lewis number (Le) and parametersβ,γ, andϕ2. Furthermore, in this work, the numerical simulation of the problem is also reported using MATLAB program. An agreement between analytical and numerical results is noted.

scholarly journals Solving Some Linear and Nonlinear PDEs Using Laplace Adomian Decomposition Method

2018 ◽  
Vol 1 (2) ◽  
pp. 9-31
Author(s):  
Attaullah
Keyword(s):  
Decomposition Method ◽  
Evolution Equations ◽  
Nonlinear Partial Differential Equations ◽  
Adomian Decomposition Method ◽  
Reaction Diffusion ◽  
Nonlinear Evolution Equations ◽  
Reaction Diffusion Equations ◽  
Nonlinear Pdes ◽  
Adomian Decomposition ◽  
Linear And Nonlinear

In this paper, Laplace Adomian decomposition method (LADM) is applied to solve linear and nonlinear partial differential equations (PDEs). With the help of proposed method, we handle the approximated analytical solutions to some interesting classes of PDEs including nonlinear evolution equations, Cauchy reaction-diffusion equations and the Klien-Gordon equations.

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