Results 31 to 40 of about 250 (173)

Numerical Solution of the Fredholme-Volterra Integral Equation by the Sinc Function

American Journal of Computational Mathematics, 2012
In this paper, we use the Sinc Function to solve the Fredholme-Volterra Integral Equations. By using collocation method we estimate a solution for Fredholme-Volterra Integral Equations. Finally convergence of this method will be discussed and efficiency of this method is shown by some examples.
Ali Salimi Shamloo, Sanam Shahkar, Alieh Madadi   +2 more
openaire   +2 more sources

Collocation Approach for the Computational Solution Of Fredholm-Volterra Fractional Order of Integro-Differential Equations

Journal of Nigerian Society of Physical Sciences, 2022
      In this work, a collocation technique is used to determine the computational solution to fractional order Fredholm-Volterra integro-differential equations with boundary conditions using Caputo sense.
Ganiyu Ajileye, Adewale James, Ayinde Abdullahi, Taiye Oyedepo   +3 more
doaj   +1 more source

A study on the convergence and error bound of solutions to 2D mixed Volterra–Fredholm integral and integro-differential equations via high-order collocation method [PDF]

Iranian Journal of Numerical Analysis and Optimization
The integral equation is transformed into systems of algebraic equations using standard collocation points, and then the algebraic equations are solved using matrix inversion.
A.A. Shalangwa, M.R. Odekunle, S.O. Adee
doaj   +1 more source

The study of the solution of a Fredholm-Volterra integral equation by Picard operators [PDF]

Studia Universitatis Babes-Bolyai Matematica, 2019
In this paper we will use the Picard operators technique, in order to establish the existence and uniqueness, data dependence and Gronwall-type results for the solutions of a Fredholm-Volterra functional-integral equation. The paper ends with a result of the Ulam-Hyers stability of this integral equation.
openaire   +1 more source

Chebyshev polynomials to Volterra-Fredholm integral equations of the first kind

REMAT
Numerous methods have been studied and discussed for solving ill-posed Volterra integral equations and ill-posed Fredholm integral equations, but rarely for both simultaneously.
Mohamed Nasseh Nadir, Adel Jawahdou
doaj   +1 more source

An Algorithm for the Solution of Nonlinear Volterra–Fredholm Integral Equations with a Singular Kernel

Fractal and Fractional, 2023
The nonlinear Volterra–Fredholm integral Equation (NVFIE) with a singular kernel is discussed such that the kernel of position can take the Hilbert kernel form, Carleman function, logarithmic form, or Cauchy kernel. Using the quadrature method, the NVFIE
Sahar M. Abusalim, Mohamed A. Abdou, Mohamed E. Nasr, Mohamed A. Abdel-Aty   +3 more
doaj   +1 more source

Phase‐Lag Integro‐Partial Differential Equation: Local and Nonlocal Solutions

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
Nonlocal information, such as material deformation, genetic genes, or the history of the disease, are essential as they provide us with additional details that increase the numerical solution’s accuracy. With the help of the phase delay, we may also predict the future of the phenomena we are researching.
Sameeha Ali Raad, Ivan Giorgio
wiley   +1 more source

Data dependence of solutions for Fredholm-Volterra integral equations in L²[a, b] [PDF]

Acta Universitatis Sapientiae, Mathematica, 2013
Abstract In this paper we study the continuous dependence and the differentiability with respect to the parameter λ ∈ [λ1, λ2] of the solution operator S : [λ1, λ2] → L2[a, b] for a mixed Fredholm-Volterra type integral equation. The main tool is the fiber Picard operators theorem (see [9], [8], [11], [3] and [2]).
openaire   +3 more sources

Independence Polynomial‐Based Approach for Fredholm–Volterra Integro‐Differential Problems of High Order

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
A numerical collocation approach employing independence polynomials of paths is formulated to approximate the solutions of high‐order linear Fredholm–Volterra integro‐differential problems under mixed conditions. The proposed approach transforms the given equation and conditions into a matrix form, leading to a linear system whose unknowns are the ...
Fatma Kaci, Kang-Jia Wang
wiley   +1 more source

Convergence Comparison of two Schemes for Common Fixed Points with an Application

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019
      Some cases of common fixed point theory for classes of generalized nonexpansive maps are studied. Also, we show that the Picard-Mann scheme can be employed to approximate the unique solution of a mixed-type Volterra-Fredholm functional nonlinear ...
Salwa Salman Abed, Zahra Mahmood Mohamed Hasan   +1 more
doaj   +1 more source