Results 1 to 10 of about 162 (130)
On a symptotic methods for Fredholm–Volterra integral equation of the second kind in contact problems [PDF]
Journal of Computational and Applied Mathematics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M A Abdou
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Fredholm-Volterra Integral Equation in the Contact Problem [PDF]
Mathematical and Computational Applications, 2002 In this paper, under certain condition the Fredholm-Volterra integral equation of the first kind is solved. The existence. and uniqueness of the solution is considered. The Fredholm integral equation of the second kind is established from the work, and its solution is also obtained.
A A El-Bary
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On a Fredholm-Volterra integral equation [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2021 "In this paper we give conditions in which the integral equation $$x(t)=\displaystyle\int_a^c K(t,s,x(s))ds+\int_a^t H(t,s,x(s))ds+g(t),\ t\in [a,b],$$ where $a<c<b$, $K\in C([a,b]\times [a,c]\times \mathbb{B},\mathbb{B})$, $H\in C([a,b]\times [a,b]\times \mathbb{B},\mathbb{B})$, $g\in C([a,b],\mathbb{B})$, with $\mathbb{B}$ a (real or complex ...
Filip, Alexandru-Darius, Rus, Ioan A.
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Fredholm‐Volterra integral equation with potential kernel [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 A method is used to solve the Fredholm‐Volterra integral equation of the first kind in the space L2(Ω) × C(0, T), , z = 0, and T < ∞. The kernel of the Fredholm integral term considered in the generalized potential form belongs to the class C([Ω] × [Ω]), while the kernel of Volterra integral term is a positive and continuous function that belongs to
M. A. Abdou, Alaa A. El-Bary
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Numerical Solution of Two-Dimensional Fredholm–Volterra Integral Equations of the Second Kind [PDF]
Symmetry, 2021 The paper presents an iterative numerical method for approximating solutions of two-dimensional Fredholm–Volterra integral equations of the second kind. As these equations arise in many applications, there is a constant need for accurate, but fast and simple to use numerical approximations to their solutions.
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Galerkin Approximations for the Solution of Fredholm Volterra Integral Equation of Second Kind
GANIT: Journal of Bangladesh Mathematical Society, 2021 In this research, we have introduced Galerkin method for finding approximate solutions of Fredholm Volterra Integral Equation (FVIE) of 2nd kind, and this method shows the result in respect of the linear combinations of basis polynomials. Here, BF (product of Bernstein and Fibonacci polynomials), CH (product of Chebyshev and Hermite polynomials), CL ...
Asma Akter Akhia, Goutam Saha
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Adomian Method for Solving Fuzzy Fredholm-Volterra Integral Equations
Journal of Fuzzy Set Valued Analysis, 2013 Summary: In this paper, Adomian method has been applied to approximate the solution of fuzzy Volterra-Fredholm integral equation. That, by using parametric form of fuzzy numbers, a fuzzy Volterra-Fredholm integral equation has been converted to a system of Volterra-Fredholm integral equation in crisp case.
Barkhordari Ahmadi, M. +2 more
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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 +2 more
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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.
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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]).
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