Results 31 to 40 of about 206,050 (258)

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

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

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 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

Existence of Solutions: Investigating Fredholm Integral Equations via a Fixed-Point Theorem

Axioms
Integral equations, which are defined as “the equation containing an unknown function under the integral sign”, have many applications of real-world problems.
Faruk Özger, Merve Temizer Ersoy, Zeynep Ödemiş Özger   +2 more
semanticscholar   +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

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

Solving Volterra-Fredholm integral equations by non-polynomial spline functions

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   +1 more source

On Some Iterative Numerical Methods for Mixed Volterra-Fredholm Integral Equations

Symmetry, 2019
In this paper, we propose a class of simple numerical methods for approximating solutions of one-dimensional mixed Volterra–Fredholm integral equations of the second kind. These methods are based on fixed point results for the existence and uniqueness of
Sanda Micula
semanticscholar   +1 more source

Certain triple q-integral equations involving third Jackson $q$-Bessel functions as kernel

, 2015
In this paper, we employ the fractional $q$-calculus in solving a triple system of $q$-Integral equations, where the kernel is the third Jackson $q$-Bessel functions.
AL-Towailb, M. A., Mansour, Z. S.
core   +1 more source