M.A.  Al-Ameen, A.K.  Khamis, 
    Volterra-Fredholm Integral Equation with Carleman Kernel in Position and Time,
    Journal of Engineering and Applied Sciences,
    Volume 4,Issue 5,
    2009,
    Pages 288-294,
    ISSN 1816-949x,
    jeasci.2009.288.294,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2009.288.294)
    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 L<SUB>2</SUB>[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.
    Keywords: potential theory method;contact problem;Volterra-Fredholm Integral Equation (V-FIE);legendre polynomials