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Volterra-Fredholm Integral Equation with Carleman Kernel in Position and Time

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Abstract:

In this study, we introduce an efficient method to find and discuss an approximate solution of the integral equation of type Volterra-Fredholm in the space L2[a, b] x [0, T]. The kernel of Fredholm is considered in position and represented in a logarithmic form, while the kernel of Volterra is taken in time as a continuous function. Using a numerical method we obtain a linear system of Fredholm integral equations is position which will be solved.

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