TY  - JOUR
T1  - Volterra-Fredholm Integral Equation with Carleman Kernel in Position and Time
AU - Al-Ameen, M.A. AU - Khamis, A.K. 
JO  - Journal of Engineering and Applied Sciences
VL  - 4
IS  - 5
SP  - 288
EP  - 294
PY  - 2009
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2009.288.294
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2009.288.294
KW  - potential theory method
KW  -contact problem
KW  -Volterra-Fredholm Integral Equation (V-FIE)
KW  -legendre polynomials
AB  - 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.
ER  -