Author(s)

André Bitsindou^*, Joseph Bonazebi-Yindoula, Gabriel Bissanga

Laboratory of Numerical Analysis, Computer Science and Applications, University Marien NGOUABI, Brazzaville, Congo.

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.

Adomian Decomposition Method, Finite Differences Method, Advection-Diffusion-Reaction Equations

Bitsindou, A. , Bonazebi-Yindoula, J. and Bissanga, G. (2018) Comparative Study of the Adomian Decomposition Method and Alternating Direction Implicit (ADI) for the Resolution of the Problems of Advection-Diffusion-Reaction. Journal of Applied Mathematics and Physics, 6, 1937-1950. doi: 10.4236/jamp.2018.69165.