Results 1 to 10 of about 209,569 (218)

The Adomian Decomposition Method for Solving Volterra-Fredholm Integral Equation Using Maple

Applied Mathematics, 2020
In this paper, Adomian decomposition method (ADM) is used to solve the Volterra-Fredholm integral equation. A number of examples have been presented to explain the numerical results, which is the comparison between the exact solution and the numerical ...
Hunida M. Malaikah
exaly   +2 more sources

Fredholm-Volterra integral equation with potential kernel [PDF]

International Journal of Mathematics and Mathematical Sciences, 2001
A method is used to solve the Fredholm-Volterra integral equation of the first kind in the space L2(Ω)×C(0,T), Ω={(x,y):x2+y2≤a}, z=0, and ...
M. A. Abdou, A. A. El-Bary
doaj   +4 more sources

Fredholm integral equation in composed-cone metric spaces

Boundary Value Problems
The current paper introduces a novel generalization of cone metric spaces called type I and type II composed cone metric spaces. Therefore, examples of a type I and type II composed cone metric space, which is not a cone metric space, are given.
Anas A. Hijab, Laith K. Shaakir, Sarah Aljohani, Nabil Mlaiki   +3 more
doaj   +2 more sources

An overview of numerical methods for the first kind Fredholm integral equation

SN Applied Sciences, 2019
Di Yuan, Xinming Zhang
exaly   +2 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

Fredholm Integral Equation and Splines of the Fifth Order of Approximation

WSEAS Transactions on Mathematics, 2022
This paper considers the numerical solution of the Fredholm integral equation of the second kind using local polynomial splines of the fifth order of approximation and the fourth order of approximation (cubic splines).
I. Burova
semanticscholar   +1 more source

Solution of Nonlinear Fredholm Integral Equations on Almost Z⊥-Contraction

Journal of Mathematics, 2023
In this manuscript, we develop an orthogonal to basically Z-contraction and demonstrate various fixed point theorems of nonlinear Fredholm integral equation solutions in such a contraction. By using these ideas of discovering the fixed point theorems, we
Gunasekaran Nallaselli, Arul Joseph Gnanaprakasam, Gunaseelan Mani, Khalil Javed, Yahya Almalki   +4 more
doaj   +1 more source

Valid implementation of Sinc-collocation method to solve the fuzzy Fredholm integral equation

Journal of Computational and Applied Mathematics, 2020
The main purpose of this work is to validate the numerical solution of fuzzy Fredholm integral equation (IE) by applying the Sinc-collocation method (S-CM) based on the double exponential (DE) and single exponential (SE) decays. This approach is based on
S. Noeiaghdam, M. A. Araghi, S. Abbasbandy   +2 more
semanticscholar   +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