### Abstract

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.

Original language | English (US) |
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Pages (from-to) | 169-173 |

Number of pages | 5 |

Journal | Conference Proceedings - IEEE SOUTHEASTCON |

DOIs | |

State | Published - Jan 1 2001 |

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### All Science Journal Classification (ASJC) codes

- Electrical and Electronic Engineering

### Cite this

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**A method of lines solution of a cylindrical problem via radial discretization.** / Nelatury, Sudarshan Rao; Sadiku, M. N.O.

Research output: Contribution to journal › Article

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 - 2001/1/1

Y1 - 2001/1/1

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.

UR - http://www.scopus.com/inward/record.url?scp=0035021154&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035021154&partnerID=8YFLogxK

U2 - 10.1109/SECON.2001.923109

DO - 10.1109/SECON.2001.923109

M3 - Article

AN - SCOPUS:0035021154

SP - 169

EP - 173

JO - Conference Proceedings - IEEE SOUTHEASTCON

JF - Conference Proceedings - IEEE SOUTHEASTCON

SN - 0734-7502

ER -