Title :
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
fDate :
5/1/2011 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2010.2098853
