Numerical Method of Solving Singularity Problems on Potential Computation in Spheroidal Systems

Author

Momoh, Omonowo David ; Sadiku, Matthew N O ; Akujuobi, Cajetan M.

Author_Institution

Coll. of Eng., Technol. & Comput. Sci., Indiana Univ.-Purdue Univ., Fort Wayne, IN, USA

Volume

47

Issue

5

fYear

2011

fDate

5/1/2011 12:00:00 AM

Firstpage

1454

Lastpage

1457

Abstract

The explicit finite-difference solution method for computing potential distribution within spheroidal systems attracts special difficulties because of the presence of mathematical singularities at the central and pole regions of the spheroids. In this paper, we implement a method for treating the singularities at the pole regions. This entails taking a quarter of the spheroidal cross-section and imposing a Neumann boundary condition along the two lines of symmetry. The results obtained agree perfectly with those obtained from exact solution.

Keywords

electric potential; finite difference methods; Neumann boundary condition; finite-difference solution method; mathematical singularities; numerical method; potential distribution computation; spheroidal cross-section; spheroidal system; Antennas; Boundary conditions; Computational modeling; Difference equations; Mathematical model; Equipotential surface; explicit finite difference; potential distribution; singularity problems;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2010.2098853

Filename

5754763