A numerical method for solving the Fredholm integral equation of the second kind

1998 ◽  
Vol 5 (2) ◽  
pp. 251-258 ◽  
Author(s):  
M. A. Abdou ◽  
S. A. Mahmoud ◽  
M. A. Darwish
Keyword(s):  
Integral Equation ◽  
Numerical Method ◽  
Fredholm Integral Equation

Convergence of sinc approximation for Fredholm integral equation with degenerate kernel

Kybernetes ◽  
2012 ◽  
Vol 41 (3/4) ◽  
pp. 482-490 ◽  
Author(s):  
K. Maleknejad ◽  
M. Alizadeh ◽  
R. Mollapourasl
Keyword(s):  
Integral Equation ◽  
Numerical Method ◽  
Integral Equations ◽  
Fredholm Integral Equation ◽  
Design Methodology ◽  
Fredholm Integral Equations ◽  
Degenerate Kernel ◽  
Sinc Approximation ◽  
Content Type ◽  
Ill Posed

PurposeThe purpose of this paper is to discuss a numerical method for solving Fredholm integral equations of the first kind with degenerate kernels and convergence of this numerical method.Design/methodology/approachBy using sinc collocation method in strip, the authors try to estimate a numerical solution for this kind of integral equation.FindingsSome numerical results support the accuracy and efficiency of the stated method.Originality/valueThe paper presents a method for solving first kind integral equations which are ill‐posed.

On Improved Approximate Solution of the Fredholm Integral Equation

2006 ◽  
Vol 6 (3) ◽  
pp. 264-268
Author(s):  
G. Berikelashvili ◽  
G. Karkarashvili
Keyword(s):  
Integral Equation ◽  
Approximate Solution ◽  
Fredholm Integral Equation ◽  
Algebraic Equations ◽  
Order Convergence ◽  
One Dimensional ◽  
Averaging Operator ◽  
Linear Algebraic Equations ◽  
Convergence Solution

AbstractA method of approximate solution of the linear one-dimensional Fredholm integral equation of the second kind is constructed. With the help of the Steklov averaging operator the integral equation is approximated by a system of linear algebraic equations. On the basis of the approximation used an increased order convergence solution has been obtained.

Adsorption on heterogeneous surfaces: Numerical analysis of models for the Dubinin-Radushkevich equation

1981 ◽  
Vol 46 (8) ◽  
pp. 1709-1721 ◽  
Author(s):  
Miloš Smutek ◽  
Arnošt Zukal
Keyword(s):  
Integral Equation ◽  
Numerical Analysis ◽  
Numerical Method ◽  
Adsorption Behaviour ◽  
Heterogeneous Surfaces ◽  
Strong Energy ◽  
Adsorption On Heterogeneous Surfaces ◽  
Heterogeneity Parameter ◽  
Adsorption Energies ◽  
Mobile Adsorption

A numerical method, based on the integral equation of the adsorption on energy heterogeneous surfaces, is suggested for the evaluation of overall isotherm. It is shown that for the distribution of adsorption energies given by Eq. (1.11) and different models of the adsorption behaviour, the overall isotherms obey approximately the Dubinin-Radushkevich equation. The strong energy heterogeneity smears effectively the differences between the localized and mobile adsorption and leads to the same character of the overall isotherm with only a slightly changed heterogeneity parameter.

Sign in / Sign up

Export Citation Format

Share Document