Abstract
In this paper, the existence of a unique solution of Volterra-Fredholm integral equation of the second kind (V-FIESK) is discussed. The Volterra integral term (VIT) is considered in time with a continuous kernel, while the Fredholm integral term (FIT) is considered in position with a generalized singular kernel. Using a numerical technique,� V-FIESK� is reduced to a system of Fredholm integral equations ( SFIEs ). Using Toeplitz matrix method and Product Nystr�m method we have a linear algebraic system of equations ( LAS ). Finally, some numerical examples when the kernel takes the logarithmic, Carleman, Cauchy and Hilbert forms, are considered.
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