Results 151 to 160 of about 18,920 (215)

On a Nonlinear Volterra-Fredholm Integral Equation

Sarajevo Journal of Mathematics
In this paper we study the existence, uniqueness and other properties of solutions of a certain nonlinear Volterra-Fredholm integral equation. The well known Banach fixed point theorem and the new integral inequality with explicit estimate are used to establish the results.   2000 Mathematics Subject Classification.
B. Pachpatte
openaire   +2 more sources

On a certain Volterra-Fredholm integral equation

Journal of Interdisciplinary Mathematics
The presence of these solutions is established by employing well-established fixed point theorems in Banach spaces. The aim of this research is to study the existence and unique characteristics of continuous solutions within compact intervals for specific integral equations.
Lamiaa H. Al-Taee   +2 more
openaire   +2 more sources

Shifted Jacobi collocation method for Volterra-Fredholm integral equation

2021
Summary: In this paper, we compute the approximate numerical solution for the Volterra-Fredholm integral equation (VFIE) by using the shifted Jacobi collocation (SJC) method which depends on the operational matrices. Some properties of the shifted Jacobi polynomials are introduced.
A. Mohamed
openaire   +3 more sources

Modified Adomian Decomposition Method for Solving Fuzzy Volterra-Fredholm Integral Equation

Journal of the Indian Mathematical Society, 2018
In this paper, a modied Adomian decomposition method has been applied to approximate the solution of the fuzzy Volterra-Fredholm integral equations of the first and second Kind. That, a fuzzy Volterra-Fredholm integral equation has been converted to a system of Volterra-Fredholm integral equations in crisp case.
Hamoud, Ahmed A., Ghadle, Kirtiwant P.
openaire   +2 more sources

Proposing Adomian Decomposition Method to Treat two Dimensional Inhomogeneous Mixed Volterra- Fredholm Integral Equation

International Enformatika Conference, 2022
in this project, for the first time reformulating and applying the Adomian decomposition method to treat the numerical solution of two dimensional inhomogeneous mixed Volterra- Fredholm integral equation of the second kind.
Talaat Ismael Hassan   +3 more
semanticscholar   +1 more source

SEMI-ANALYTIC FIBONACCI POLYNOMIAL SOLUTION FOR VOLTERRA–FREDHOLM INTEGRAL EQUATION WITH ERROR ANALYSIS

Fractals, 2022
Herein, a spectral scheme is implemented and analyzed for numerically handling general Volterra–Fredholm integral equations (VFIEs), for this purpose, the linearly independent Fibonacci polynomials are utilized as basis functions for the solution, then ...
M. Mokhtar, M. H. El Dewaik, A. Mohamed
semanticscholar   +1 more source

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