Results 1 to 10 of about 597 (136)

Solving linear Fredholm fuzzy integral equations of the second kind by artificial neural networks

Alexandria Engineering Journal, 2014
This paper deals with the solutions of fuzzy Fredholm integral equations using neural networks. Based on the parametric form of a fuzzy number, a Fredholm fuzzy integral equation converts to two systems of integral equations of the second kind in the ...
Hadi Hosseini Fadravi, Reza Buzhabadi, Hassan Saberi Nik   +2 more
doaj   +3 more sources

Solving Fredholm integral equation based on Padé approximants using Particle swarm optimization [PDF]

مجلة التربية والعلم, 2023
Several scientific and engineering applications are usually described as integral equations.  A  new approach for solving the type of linear and nonlinear Fredholm integral equation of the second kind is proposed.
Israa sheekhoo, Azzam Aladool
doaj   +1 more source

A Picard-Type Iterative Scheme for Fredholm Integral Equations of the Second Kind

Mathematics, 2021
In this work, we present an application of Newton’s method for solving nonlinear equations in Banach spaces to a particular problem: the approximation of the inverse operators that appear in the solution of Fredholm integral equations.
José M. Gutiérrez, Miguel Á. Hernández-Verón   +1 more
doaj   +1 more source

A collocation method to the solution of nonlinear fredholm-hammerstein integral and integro-differential equation [PDF]

Journal of Hyperstructures, 2013
This paper presents a computational technique for the solution of the nonlinear Fredholm-Hammerstein integral and integrodifferential equations. A hybrid of block-pulse functions and the second kind Chebyshev polynomials (hereafter called as HBC) is used
F. Mirzaee, Elham Hadadiyan
doaj   +1 more source

Spectral technique with convergence analysis for solving one and two-dimensional mixed Volterra-Fredholm integral equation.

PLoS ONE, 2023
A numerical approach based on shifted Jacobi-Gauss collocation method for solving mixed Volterra-Fredholm integral equations is introduced. The novel technique with shifted Jacobi-Gauss nodes is applied to reduce the mixed Volterra-Fredholm integral ...
A Z Amin, A K Amin, M A Abdelkawy, A A Alluhaybi, I Hashim   +4 more
doaj   +1 more source

A Representation for the Solution of Fredholm Integral Equations [PDF]

Proceedings of the American Mathematical Society, 1969
This paper provides a new representation formula for the solution of Fredholm integral equations of the second kind. The formula has certain computational advantages over the usual representation involving the resolvent or the representation formula of Krein.
Kagiwada, H. H., Kalaba, R. E., Schumitzky, A.   +2 more
openaire   +1 more source

Linear Fredholm Integral Equations and the Integral of Kurzweil [PDF]

Journal of Applied Analysis, 2002
Fredholm integral equations of the second kind of vector-valued functions (in Banach spaces) with Kurzweil or Henstock integrals are considered. A Fredholm alternative is proved and a corresponding `adjoint' equation is obtained. The results are applied for boundary value problems on intervals.
Federson, M., Bianconi, R.
openaire   +1 more source

On a Fredholm-Volterra integral equation [PDF]

Studia Universitatis Babes-Bolyai Matematica, 2021
"In this paper we give conditions in which the integral equation $$x(t)=\displaystyle\int_a^c K(t,s,x(s))ds+\int_a^t H(t,s,x(s))ds+g(t),\ t\in [a,b],$$ where $a<c<b$, $K\in C([a,b]\times [a,c]\times \mathbb{B},\mathbb{B})$, $H\in C([a,b]\times [a,b]\times \mathbb{B},\mathbb{B})$, $g\in C([a,b],\mathbb{B})$, with $\mathbb{B}$ a (real or complex ...
Filip, Alexandru-Darius, Rus, Ioan A.
openaire   +2 more sources

A new hybrid orthonormal Bernstein and improved block-pulse functions method for solving mathematical physics and engineering problems

Alexandria Engineering Journal, 2020
In this paper, numerical solution of the linear second kind Fredholm integral equations is studied. These integral equations are widely used for solving many problems in mathematical physics and engineering.
Mohamed Ramadan, Heba S. Osheba
doaj   +1 more source

An inverse problem for a nonlinear Fredholm integro-differential equation of fourth order with degenerate kernel

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
doaj   +1 more source