The CFS-PML for 2D Auxiliary Differential Equation FDTD Method Using Associated Hermite Orthogonal Functions

FDTD Modeling of Lorentzian DNG Metamaterials by Auxiliary Differential Equation Method

In this paper, Finite Difference Time Domain (FDTD) is utilized to simulate metamaterials of Double Negative (DNG) origin that refers to those materials having simultaneous negative permittivity and permeability. The problem regarding space formulation is achieved by means of auxiliary differential equation method (ADE), which is easy, reliable and also causal process in nature thus making it p...

Hermite Orthogonal Rational Functions

We recount previous development of d-fold doubling of orthogonal polynomial sequences and give new results on rational function coefficients, recurrence formulas, continued fractions, Rodrigues’ type formulas, and differential equations, for the general case and, in particular, for the d-fold Hermite orthogonal rational functions.

Cfs-pml Implementation for the Uncondi- Tionally Stable Fdltd Method

This paper introduces the implementation of complex frequency shifted perfectly matched layer (CFS-PML) absorbing boundary conditions for the unconditionally stable finite-difference Laguerre time-domain (FDLTD) method. It has been shown that the relative performance of the CFS-PML implementations is superior to the PML and Mur ABCs performance by an example.

A Direct Method for Numerically Solving Integral Equations System Using Orthogonal Triangular Functions

An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions

In the present paper, a numerical method is considered for solving one-dimensional heat equation subject to both Neumann and Dirichlet initial boundary conditions. This method is a combination of collocation method and radial basis functions (RBFs). The operational matrix of derivative for Laguerre-Gaussians (LG) radial basis functions is used to reduce the problem to a set of algebraic equatio...