Title

Finite difference analysis of time-dependent spherical problems

Document Type

Proceeding

Presentation Date

4-2013

Conference Name

IEEE SoutheastCon 2013: Moving America into the Future

Conference Location

Jacksonville, Flordia

Source of Publication

2013 Proceedings of IEEE Southeastcon

Publisher

IEEE

Abstract

Finite difference (FD) method has been used extensively in electromagnetic field modeling because of its ability to robustly handle interactions of field with complex heterogeneous structures. In this paper, we implement the use of explicit finite difference method to solve time-dependent problem in spherical coordinates system. We present results in one dimensional (1-D) and two-dimensional (2-D) that agree with the exact solutions. The study also shows the impact of the changes in the mesh size of each of the spherical coordinates on the accuracy of the FD results.

Keywords

1-D and 2-D spherical problems, Explicit finite difference method, parabolic or heat equation, spherical coordinates, explicit finite difference method, spherical coordinates system, electromagnetic field modeling, time-dependent spherical problem, computational electromagnetics, electromagnetic field theory, Equations, Finite difference methods, Heating, Partial differential equations, Educational institutions, Accuracy, Temperature distribution

Disciplines

Electrical and Computer Engineering

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