Revised finite sound ray integration method based on Kirchhoff's integral equation.

Finite integration method with RBFs for solving time-fractional convection-diffusion equation with variable coefficients

In this paper, a modification of finite integration method (FIM) is combined with the radial basis function (RBF) method to solve a time-fractional convection-diffusion equation with variable coefficients. The FIM transforms partial differential equations into integral equations and this creates some constants of integration. Unlike the usual FIM, the proposed method computes constants of integ...

The Boundary Integral Equation Method

Scattering from Finite Periodic Surfaces: a Comparison between Integral Equation and Ray Techniques

The electromagnetic scattering from a large planar strip composed of parallel free-standing dense metallic strips is addressed. The scattered field is evaluated by resorting to a couple of different methods: an asymptotic technique, namely the Uniform Geometrical Theory of Diffraction (UTD), and a numerical method (the Method of Moments, MoM). The results of a numerical investigation are presen...

2D DC resistivity forward modeling based on the integral equation method and a comparison with the RES2DMOD results

A 2D forward modeling code for DC resistivity is developed based on the integral equation (IE) method. Here, a linear relation between model parameters and apparent resistivity values is proposed, although the resistivity modeling is generally a nonlinear problem. Two synthetic cases are considered for the numerical calculations and the results derived from IE code are compared with the RES2DMO...

A Numerical Method for Solving Stochastic Volterra-Fredholm Integral Equation

In this paper, we propose a numerical method based on the generalized hat functions (GHFs) and improved hat functions (IHFs) to find numerical solutions for stochastic Volterra-Fredholm integral equation. To do so, all known and unknown functions are expanded in terms of basic functions and replaced in the original equation. The operational matrices of both basic functions are calculated and em...