Adomian-Like Decomposition Method in Solving Navier-Stokes Equations

Select Volume / Issue:

• Volume 5,Issue 1, Jan. 2017

Year:

2017

Type of Publication:

Article

Keywords:

Navier-Stokes, Equations-Product, Formula- Linearized, Equations-Adomian-Like, Decomposition Method, Convergence

Authors:

Paul Tchoua; Benedict I. Ita

Journal:

IJISM

Volume:

5

Number:

1

Pages:

36-42

Month:

January

ISSN:

2347-9051

Abstract:

The aim of this paper is to construct a scheme for the accurate simulation of the solutions of the non stationary Navier-stokes equations. This is achieved through the so called Adomian-Like Decomposition Method that we developed. The nonlinear Problem is decomposed into an infinite set of linearized Navier-Stokes equations for which the existence and numerical schemes are constructed in part I In Part I a product formula intended to simulate numerically the solution of linearized problem. In the second part the idea of Adomian decomposition Method is used to define the splitting of thenonlinear problem into an infinite set of linearized problems. The convergence proof very technical shall be presented in a fortcoming paper

Full text: IJISM_600_FINAL.pdf [Bibtex]