Exact analytical solution of the convolution integral equation for a general profile fitting function and Gaussian detector kernel

2000 ◽  
Vol 45 (3) ◽  
pp. 645-650 ◽  
Author(s):  
F García-Vicente ◽  
J M Delgado ◽  
C Rodríguez
Keyword(s):  
Integral Equation ◽  
Analytical Solution ◽  
Exact Analytical Solution ◽  
Convolution Integral ◽  
Convolution Integral Equation ◽  
Profile Fitting ◽  
General Profile

scholarly journals The product of generalized polynomials sets pertaining to a class of convolution integral equations

2009 ◽  
Vol 42 (3) ◽  
Author(s):  
V. B. L. Chaurasia ◽  
Mukesh Agnihotri
Keyword(s):  
Integral Equation ◽  
Integral Equations ◽  
Mellin Transform ◽  
Convolution Integral ◽  
Generalized Polynomials ◽  
Fredholm Type ◽  
Convolution Integral Equation ◽  
Convolution Integral Equations

AbstractThe purpose of this paper is to obtain a certain class of convolution integral equation of Fredholm type with the product of two generalized polynomials sets. Using of the Mellin transform technique; we have established solution of the integral equation.

An Integral Equation Method for Predicting Acoustic Emission within Enclosures

1985 ◽  
Vol 199 (2) ◽  
pp. 133-137 ◽  
Author(s):  
D T I Francis ◽  
M M Sadek
Keyword(s):  
Integral Equation ◽  
Finite Element ◽  
Acoustic Emission ◽  
Analytical Solution ◽  
Numerical Solution ◽  
Finite Element Methods ◽  
Exact Analytical Solution ◽  
Integral Equation Method ◽  
Absorption Characteristics ◽  
Good Agreement

A method is presented for calculating the acoustic emission of a vibrating body within an enclosure whose surface has known absorption characteristics. It is based on a numerical solution of the Helmholtz integral equation. Solutions are given for the case of a pulsating sphere within a sphere, and good agreement with the exact analytical solution is reported. The method is of value for small and medium scale problems at lower frequencies, where traditional techniques are less reliable. It is also potentially less demanding computationally than finite element methods.

scholarly journals Convolution integral equation of Fredholm type with certain trancedental functions

2008 ◽  
Vol 39 (3) ◽  
pp. 227-237
Author(s):  
V. B. L. Chaurasia ◽  
Vishal Saxena
Keyword(s):  
Integral Equation ◽  
Fractional Integral ◽  
Special Function ◽  
Integral Operators ◽  
Convolution Integral ◽  
Fredholm Type ◽  
Fractional Integral Operators ◽  
Convolution Integral Equation ◽  
Weyl Fractional Integral

The aim of this paper is to establish a solution of a certain class of convolution integral equation of Fredholm type whose kernel involve certain product of special function by using Riemann-Liouville and Weyl fractional integral operators. Some interesting particular cases are also considered.

Sign in / Sign up

Export Citation Format

Share Document