Results 1 to 10 of about 3,589 (204)

Solving Volterra-Fredholm integral equations by non-polynomial spline functions [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы
 It depends on our information, non-polynomial spline functions have not been applied for solving Volterra- Fredholm integral equations of the second kind yet.
S.H. Salim, K.H.F. Jwamer, R.K. Saeed
doaj   +2 more sources

Bernoulli wavelet method for numerical solution of linear system of Fredholm integral equation of the second kind

Alexandria Engineering Journal, 2023
One of the key tools for many fields of applied mathematics is the integral equations. Integral equations are widely utilized in many models, atmosphere–ocean dynamics, fluid mechanics, mathematical physics, and many other physical and engineering ...
Heba M. Arafa, Mohamed A. Ramadan
doaj   +1 more source

Solving two-dimensional fuzzy Fredholm integral equations via sinc collocation method

Advances in Difference Equations, 2020
In this paper, we present a numerical method to solve two-dimensional fuzzy Fredholm integral equations (2D-FFIE) by combing the sinc method with double exponential (DE) transformation.
Yanying Ma, Hu Li, Suping Zhang
doaj   +1 more source

Regularised discretisations obtained from first‐kind Fredholm operator equations

IET Microwaves, Antennas & Propagation, 2021
Judicious discretisations of certain first‐kind Fredholm operator equations are tantamount to Fredholm infinite‐matrix equations of the second kind. We give detailed explanations for the occurrence of this interesting and useful phenomenon and carefully ...
George Fikioris
doaj   +1 more source

Use of Bernstein Polynomial in Numerical Solution of Nonlinear Fred Holm Integral Equation [PDF]

Engineering and Technology Journal, 2011
In this paper, Bernstein polynomials with different degree has been used to approximate the solution of nonlinear Fredholm integral equations. A comparison between the different degree of Bernstein polynomials has been made depending on absolute error ...
Khawla A .AL-Zubaidy, Muna M. Mustafa
doaj   +1 more source

Iterative Kernel Technique to Solve System Fredholm Integral Equation First Kind for Degenerate Kernel

Polytechnic Journal, 2023
Many problems associated with the engineering technology field can be transformed into Fredholm integral equations of the first kind to achieve problem-solving strategies.
Talhat I. Hassan
doaj   +1 more source

A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem

Journal of Applied Mathematics, 2012
A new method for solving nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations is presented. This method is based on reformulation of VFH to the simple form of Fredholm integral equations and hence converts it to optimal control problem.
M. A. El-Ameen, M. El-Kady
doaj   +1 more source

A generalized Volterra–Fredholm integral inequality and its applications to fractional differential equations

Advances in Difference Equations, 2018
In this paper, we derive a new generalized Volterra–Fredholm integral inequality and use it to study the dependence of solutions on the initial data for a class of fractional differential equations with Fredholm integral operators.
Xiao-Li Ding, Bashir Ahmad
doaj   +1 more source

Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid Functions and the Collocation Method

Journal of Applied Mathematics, 2012
A numerical method to solve nonlinear Fredholm integral equations of second kind is presented in this work. The method is based upon hybrid function approximate.
Jianhua Hou, Beibo Qin, Changqing Yang
doaj   +1 more source

Some new retarded nonlinear Volterra-Fredholm type integral inequalities with maxima in two variables and their applications

Journal of Inequalities and Applications, 2017
In this paper, we establish some new retarded nonlinear Volterra-Fredholm type integral inequalities with maxima in two independent variables, and we present the applications to research the boundedness of solutions to retarded nonlinear Volterra ...
Run Xu, Xiangting Ma
doaj   +1 more source