Results 171 to 180 of about 18,920 (215)

Legendre wavelets method for the nonlinear Volterra–Fredholm integral equations

Mathematics and Computers in Simulation, 2005
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Yousefi, S., Razzaghi, M.
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Volterra-Fredholm Integral Equations

2011
The Volterra-Fredholm integral equations [1–2] arise from parabolic boundary value problems, from the mathematical modelling of the spatio-temporal development of an epidemic, and from various physical and biological models. The Volterra-Fredholm integral equations appear in the literature in two forms, namely $$u\left( x \right) = f\left( x \right)
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A reliable treatment for mixed Volterra–Fredholm integral equations

Applied Mathematics and Computation, 2002
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A computational method for system of Volterra–Fredholm integral equations

Applied Mathematics and Computation, 2006
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Maleknejad, K., Fadaei Yami, M. R.
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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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On a class of nonlinear Volterra-Fredholm q-integral equations

Fractional Calculus and Applied Analysis, 2013
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Application of Fibonacci collocation method for solving Volterra–Fredholm integral equations

Applied Mathematics and Computation, 2016
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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 equation systems by operational matrices of integration based on Bernstein multi-scaling polynomials

Computational and Applied Mathematics, 2022
A. Yaghoobnia, R. Ezzati
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Numerical solution of Volterra–Fredholm integral equations using parameterized pseudospectral integration matrices

Applied Mathematics and Computation, 2015
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