TY - JOUR

T1 - A method of lines solution of a cylindrical problem via radial discretization

AU - Nelatury, Sudarshan Rao

AU - Sadiku, M. N.O.

PY - 2001

Y1 - 2001

N2 - The method of lines (MOL) is applied to solve for the electrostatic potential in a coaxial trough by discretizing in both the longitudinal and radial directions. The coupled equations are diagonalized by Eigen decomposition with the aid of MATLAB software. The results agree quite well. An attempt is made to do the same exercise in case of a cylindrical region without the inner conductor. While it is straight forward when we discretize along the longitudinal dimension, it is difficult to do the same along the radial dimension. We gave an approximation to the first two terms of the P matrix. In the analytical solution truncating the infinite summation gives rise to Gibb's phenomenon in the form of ripples at the discontinuities. A smoothing window gives potential that is free of overshoots at the discontinuities.

AB - The method of lines (MOL) is applied to solve for the electrostatic potential in a coaxial trough by discretizing in both the longitudinal and radial directions. The coupled equations are diagonalized by Eigen decomposition with the aid of MATLAB software. The results agree quite well. An attempt is made to do the same exercise in case of a cylindrical region without the inner conductor. While it is straight forward when we discretize along the longitudinal dimension, it is difficult to do the same along the radial dimension. We gave an approximation to the first two terms of the P matrix. In the analytical solution truncating the infinite summation gives rise to Gibb's phenomenon in the form of ripples at the discontinuities. A smoothing window gives potential that is free of overshoots at the discontinuities.

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U2 - 10.1109/SECON.2001.923109

DO - 10.1109/SECON.2001.923109

M3 - Article

AN - SCOPUS:0035021154

SN - 0734-7502

SP - 169

EP - 173

JO - Conference Proceedings - IEEE SOUTHEASTCON

JF - Conference Proceedings - IEEE SOUTHEASTCON

ER -