Chelyshkov Collocation Method for Solving the Two-Dimensional Fredholm–Volterra Integral Equations
International Journal of Applied and Computational Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ardabili, J. Saffar, Talaei, Y.
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Fredholm–Volterra integral equation and generalized potential kernel
Applied Mathematics and Computation, 2002For a Fredholm integral equation of the first and second kind explicit solutions are obtained for the kernel function \[ K(x,y)=\sqrt{xy}\int_0^\infty \lambda^\alpha J_n(x\lambda)J_n(y\lambda) d\lambda. \] Here, \(J_n\) is a Bessel function of the first kind.
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Computational Programs for Solving Fredholm-Volterra Integral Equation with Its Numerical Data
2021 International Conference of Women in Data Science at Taif University (WiDSTaif ), 2021The integral equations can be solved using different methods. In addition, the numerical methods play an important rule. In this work, we discuss the effectiveness quadrature methods to solution of Fredholm-Volterra integral equation (F-VIE). Applying these methods needs some computations, which takes a lot of time, effort; having a program to do all ...
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On nonlinear Fredholm–Volterra integral equations with hysteresis
Applied Mathematics and Computation, 2004The author improves his earlier result concerning the existence and uniqueness of solutions of the following Fredholm-Volterra system with hysteresis \[ x(t)= g(t)+ \int^t_0 p(t,s)\phi(s, x(s), w[S[x]](s))\,ds+ \int^\infty_0 q(t,s) \psi(s, x(s), w[S[x]](s))\,ds,\tag{1} \] where \(w\) denotes a hysteresis operator and \(S\) is the superposition operator
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Fredholm-Volterra integral equation with singular kernel
Korean Journal of Computational and Applied Mathematics, 1999The paper deals with the numerical solution of Fredholm-Volterra integral equations with Carleman kernel in the space \(L_2(-1,1)\times C(0,T)\), \(0\leq t\leq ...
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Successive Approximations Method for Fuzzy Fredholm-Volterra Integral equations of the Second Kind
2021In this paper, the successive approximations technique based on the trapezoidal quadrature rule is used for solving the fuzzy Fredholm-Volterra integral equations in two dimensions. We first present the way to approximate the value of the integral of any fuzzy-valued function based on the quadrature rule, that can be sequentially applied to evaluate ...
S. Ziari, A. M. Bica, R. Ezzati
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Expansion Method for Solving Fuzzy Fredholm-Volterra Integral Equations
2010In this paper, the fuzzy Fredholm-Volterra integral equation is solved, where expansion method is applied to approximate the solution of an unknown function in the fuzzy Fredholm-Volterra integral equation and convert this equation to a system of fuzzy linear equations. Then we propose a method to solve the fuzzy linear system such that its solution is
S. Khezerloo +5 more
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Fredholm–Volterra integral equation of the first kind and contact problem
Applied Mathematics and Computation, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solving mixed Fredholm–Volterra integral equations by using the operational matrix of RH wavelets
SeMA Journal, 2015Applications of several kinds of wavelets have been found useful for obtaining numerical solutions of different kinds of integral equations. Among them, is included the Haar wavelets, which under specific conditions, is employed non-linear Fredholm integral equations. But all such methods involve the approximation of certain integrals.
Erfanian, M., Gachpazan, M.
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Numerical solution of Fredholm–Volterra integral equation in one dimension with time dependent
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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