@article{MAKHILLJEAS20094513128, title = {Volterra-Fredholm Integral Equation with Carleman Kernel in Position and Time}, journal = {Journal of Engineering and Applied Sciences}, volume = {4}, number = {5}, pages = {288-294}, year = {2009}, issn = {1816-949x}, doi = {jeasci.2009.288.294}, url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2009.288.294}, author = {M.A. and}, keywords = {potential theory method,contact problem,Volterra-Fredholm Integral Equation (V-FIE),legendre polynomials}, 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.} }