Authors : A.K. Khamis and M.A. Al-Ameen
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.
A.K. Khamis and M.A. Al-Ameen, 2009. Volterra-Fredholm Integral Equation with Carleman Kernel in Position and Time. Journal of Engineering and Applied Sciences, 4: 288-294.