Results 211 to 220 of about 3,901 (233)

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.
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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.
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On some Volterra-Fredholm integral equations

2006
Existence, uniqueness and numerical results for some Volterra-Fredholm integral equations are given. To obtain existence and uniqueness Picard operators technique is applied. Numerical method based on collocation using modified q.i. splines is presented. Numerical results are given.
CALIO', FRANCA, MARCHETTI, ELENA MARIA, V. MURESAN   +2 more
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Application of Fibonacci collocation method for solving Volterra–Fredholm integral equations

Applied Mathematics and Computation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mirzaee, Farshid, Hoseini, Seyede Fatemeh   +1 more
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Representation of exact solution for the nonlinear Volterra–Fredholm integral equations

Applied Mathematics and Computation, 2006
This paper is concerned with the existence of the exact solution of the following nonlinear Volterra-Fredholm integral equation \[ u(x)=f(x)+Gu(x), \] where \[ Gu(x)=\lambda_{1}\int_{a}^{x}K_{1}(x,\xi)N_{1}(u(\xi))\,d\xi +\lambda_{2}\int_{a}^{b}K_{2}(x,\xi)N_{2}(u(\xi))\,d\xi, \] \(u(x)\) is the unknown function, \(u(x), \;f(x)\in W^{1}_{2}[a,b], \;N_ ...
Cui, Minggen, Du, Hong
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Numerical solution of Volterra–Fredholm integral equations using parameterized pseudospectral integration matrices

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.
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Approximate solution of nonlinear Volterra-Fredholm fuzzy integral equations

AIP Conference Proceedings, 2022
Atanaska Georgieva, Iva Naydenova
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Inequalities Applicable to Mixed Volterra-Fredholm Type Integral Equations

Sarajevo Journal of Mathematics
In this paper we establish some new integral inequalities with explicit estimates which can be used as tools in the study of some basic properties of solutions of mixed Volterra-Fredholm type integral equations. Discrete analogues of the main results and some applications of one of our results are also given.   2000 Mathematics Subject Classification.
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ITERATIVE SOLUTION OF FUNCTIONAL VOLTERRA-FREDHOLM INTEGRAL EQUATION WITH DEVIATING ARGUMENT

2015
In this paper, we show that the iteration method defined in "V. Karakaya, Y. Atalan, K. Dogan and NH. Bouzara, Some Fixed Point Results for a New Three Steps Iteration Process in Banach Spaces, Fixed Point Theory" converges to solution of the functional Volterra-Fredholm integral equation with deviating argument in a Banach space.
ATALAN, YUNUS, KARAKAYA, VATAN
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