An application of the Adomian´s decomposition method to the analysis of MHD duct flows

Author

Machado, José Márcio ; Verardi, Sérgio Luis Lopes ; Shiyou, Yang

Author_Institution

Comput. Sci. & Stat. Dept., Sao Paulo State Univ., Sao Jose Do Rio Preto, Brazil

Volume

41

Issue

5

fYear

2005

fDate

5/1/2005 12:00:00 AM

Firstpage

1588

Lastpage

1591

Abstract

A new approach is proposed in this work for the treatment of boundary value problems through the Adomian´s decomposition method. Although frequently claimed as accurate and having fast convergence rates, the original formulation of Adomian´s method does not allow the treatment of homogeneous boundary conditions along closed boundaries. The technique here presented overcomes this difficulty, and is applied to the analysis of magnetohydrodynamic duct flows. Results are in good agreement with finite element method calculations and analytical solutions for square ducts. Therefore, new possibilities appear for the application of Adomian´s method in electromagnetics.

Keywords

boundary-value problems; magnetohydrodynamics; partial differential equations; pipe flow; Adomian decomposition method; boundary value problems; closed boundaries; electromagnetics; homogeneous boundary conditions; magnetohydrodynamic duct flows; square ducts; Application software; Boundary conditions; Boundary value problems; Ducts; Finite element methods; Insulation; Magnetic analysis; Magnetic fields; Magnetohydrodynamics; Partial differential equations; Adomian´s decomposition method (ADM); homogeneous boundary conditions; magnetohydrodynamic (MHD) duct flows;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2005.845031

Filename

1430916