Author/Authors :
Khalef, R. Doctoral School of Technology and Space Applications - Faculty of Technology Sciences - Department of Electronic - Laboratory of Electromagnetism and Telecommunications - University of Constantine1, Constantine, Algeria , Benkhawa, L. Faculty of Technology Sciences - Department of Electronic, Laboratory of Electromagnetism and Telecommunications - University of Constantine1, Constantine, Algeria , Grine, F. Faculty of Technology Sciences - Department of Electronic - Laboratory of Electromagnetism and Telecommunications - University of Constantine1, Constantine, Algeria , Benhabiles, M. T. Faculty of Technology Sciences - Department of Electronic, Laboratory of Electromagnetism and Telecommunications - University of Constantine1, Constantine, Algeria , Riabi, M. L. Faculty of Technology Sciences - Department of Electronic, Laboratory of Electromagnetism and Telecommunications - University of Constantine1, Constantine, Algeria
Abstract :
A Meshless Time Domain Method is used in the local support domain to solve Maxwell’s equations
for one-dimensional transient electromagnetic problems. The approach is based on a combination of
the Meshless Radial Basis Functions and the Leapfrog time-stepping scheme for the Finite-Difference
approximation of the first order partial derivatives. A comparison is performed between the conventional
FDTD and RBF’s with Gaussian, Wendland-C4 Compactly Supported RBF (CSRBF) and Inverse Multi-
Quadric (IMQ) basis functions. The numerical results showed that the proposed method provides an
accurate solution for transient electromagnetic problems.
Keywords :
Finite-Difference-Time-Domain , Local Support , Meshless method , Compact support RBF , Inverse Multi-Quadric , Transient Electromagnetic Field
