Results 141 to 150 of about 308 (176)

Fredholm–Volterra integral equation in contact problem

Applied Mathematics and Computation, 2003
The author considers the Fredholm-Volterra integral equation \[ kP(x,y,t)+q\int\limits_0^\infty\int\limits_0^\infty \frac{P(\xi,\eta,t)\,d\xi\,d\eta}{\sqrt{(x-\xi)^2+(y-\eta)^2}} +q\int\limits_0^t F(t,\tau)P(x,y,\tau) \,d\tau=f(x,y,t) \tag{1} \] in the space \(L_2(\Omega)\times C(0,T)\), under the condition \[ \int\limits_0^\infty\int\limits_0^\infty P(
M. A. Abdou 0001, Osama L. Moustafa
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On nonlinear Fredholm–Volterra integral equations with hysteresis

Applied Mathematics and Computation, 2004
The 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

Applied Mathematics and Computation, 2003
The author considers the Fredholm-Volterra integral equation of the second kind \[ \delta\phi(x,t)+\int\limits_{-1}^1 \left| \ln| y-x| -d\right| \phi(y,t)\,dy+\int\limits_0^t F(\tau)\phi(x,\tau) \,d\tau=f(x,t),\tag{1} \] where \(| x| \leq1,\) \( t\in[0,T],\) \(\lambda\in(0,\infty),\) \(\delta\in(0,\infty]\), with a specific right-hand side \(f(x,t ...
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Fredholm–Volterra integral equation and generalized potential kernel

Applied Mathematics and Computation, 2002
For 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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Fredholm–Volterra integral equation of the first kind and contact problem

Applied Mathematics and Computation, 2002
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Chelyshkov Collocation Method for Solving the Two-Dimensional Fredholm–Volterra Integral Equations

International Journal of Applied and Computational Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ardabili, J. Saffar, Talaei, Y.
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Fredholm-Volterra integral equation with singular kernel

Korean Journal of Computational and Applied Mathematics, 1999
The 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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Expansion Method for Solving Fuzzy Fredholm-Volterra Integral Equations

2010
In 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
Saeid Khezerloo, Tofigh Allahviranloo, S. Haji Ghasemi, Soheil Salahshour, Masoume Khezerloo, M. Khorasan Kiasary   +5 more
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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 ), 2021
The 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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Numerical solution of Fredholm–Volterra integral equation in one dimension with time dependent

Applied Mathematics and Computation, 2005
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