Finite difference analysis of time-dependent spherical problems

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.