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In the present paper, we obtain three new finite integral formulas. These formulas involve the product of a general class of polynomials and the generalized Meliin- Barnes type of contour integrals. Mainly we are using series representation of the H-function given by Agarwal [14], Agarwal and...
The hybrid finite difference – finite integral transform method is developed for the V P S wave propagation problem in a radially symmetric vertically inhomogeneous medium. Apart from the development of the finite difference analogues of the transformed equations of motion, a number of numerical consi...
We consider an elliptic partial differential equation with input function inH -1. We assume that the type of singular part of solution is known and the sol
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the partial differential equations are converted to integral equations, which depict the properties of the entire area. These integral equations are then discretized and solved numerically using a technique similar to FEM. The boundary element method uses the relationships from the integral theorems accor...
Exponential finite-difference schemes with double integral transformation for desicion of diffusion-convection equations Object of this research are differential equations of diffusion-convection type. These equations are used for the description of many nonlinear processes i... SV Polyakov - 《Mathematical...
Finite type invariants of knots in homology 3–spheres with respect to null LP–surgeries we show that the Kricker lift of the Kontsevich integral and the Lescop equivariant invariant built from integrals in configuration spaces are universal finite type invariants for this theory; in particular, th...
This document presents comprehensive historical accounts on the developments of finite element methods (FEM) since 1941, with a specific emphasis on develo
Integral equation calculations for the photodisintegration process {sup 4}He({gamma},{ital n}){sup 3}He Results obtained by solving Alt-Grassberger-Sandhas (AGS)-type integral equations for the photodisintegration of {sup 4}He, employing the Malfliet-Tjon pot... G Ellerkmann,W Sandhas,SA...