Numerical method of solving singularity problems on potential computation in spheroidal systems

Author

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

Author_Institution

Dept. of Electr. & Comput. Eng., Prairie View A&M Univ., Prairie View, TX, USA

fYear

2010

fDate

9-12 May 2010

Firstpage

1

Lastpage

1

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. 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

boundary-value problems; computational electromagnetics; finite difference methods; Neumann boundary condition; explicit finite-difference solution method; mathematical singularity; numerical method; potential distribution computing; singularity problems; spheroidal cross-section; spheroidal systems; Boundary conditions; Capacitance; Conductors; Distributed computing; Electromagnetic analysis; Electromagnetic modeling; Finite difference methods; Impedance; Laplace equations; Microstrip;

fLanguage

English

Publisher

ieee

Conference_Titel

Electromagnetic Field Computation (CEFC), 2010 14th Biennial IEEE Conference on

Conference_Location

Chicago, IL

Print_ISBN

978-1-4244-7059-4

Type

conf

DOI

10.1109/CEFC.2010.5481551

Filename

5481551