PARABOLIC EQUATION SOLUTION OF TROPOSPHERIC WAVE PROPAGATION USING FEM

Numerical solution of the wave equation using shearlet frames

In this paper, using shearlet frames, we present a numerical  method  for solving  the wave equation. We define a new shearlet system and by the Plancherel theorem, we calculate the shearlet coefficients.

A Parabolic Equation for Wave Propagation over Porous Structures

Tropospheric Refraction Modeling Using Ray-Tracing and Parabolic Equation

Refraction phenomena that occur in the lower atmosphere significantly influence the performance of wireless communication systems. This paper provides an overview of corresponding computational methods. Basic properties of the lower atmosphere are mentioned. Practical guidelines for radiowave propagation modeling in the lower atmosphere using ray-tracing and parabolic equation methods are given...

Numerical Solution of the Boussinesq Equation Using Spectral Methods and Stability of Solitary Wave Propagation

We study numerically the propagation and stability properties of solitary waves (solitons) of the Boussinesq equation in one space dimension, using a combination of finite differences in time and spectral methods in space. Our schemes follow very accurately these solutions, which are given by simple closed formulas and are known to be stable under small perturbations, for small enough velocitie...

Optimization of Solution Regularized Long-wave Equation by Using Modified Variational Iteration Method

In this paper, a regularized long-wave equation (RLWE) is solved by using the Adomian's decomposition method (ADM) , modified Adomian's decomposition method (MADM), variational iteration method (VIM), modified variational iteration method (MVIM) and homotopy analysis method (HAM). The approximate solution of this equation is calculated in the form of series which its components are computed by ...