TITLE:
Comparative Study of the Adomian Decomposition Method and Alternating Direction Implicit (ADI) for the Resolution of the Problems of Advection-Diffusion-Reaction
AUTHORS:
André Bitsindou, Joseph Bonazebi-Yindoula, Gabriel Bissanga
KEYWORDS:
Adomian Decomposition Method, Finite Differences Method, Advection-Diffusion-Reaction Equations
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.9,
September
30,
2018
ABSTRACT: In this paper, we use the Adomian decomposition
method (ADM), the finite differences method and the Alternating Direction
Implicit method to estimate the advantages and the weakness of the above
methods. For it, we make a numerical simulation of the different solutions
constructed with these methods and compare the error investigated case.