We present a uniquely solvable boundary integral equation with the generalized Neumann kernel for solving two-dimensional Laplace’s equation on multiply connected regions with mixed boundary condition. Two numerical examples are presented to verify the accuracy of the proposed method.
Mohamed M. S. Nasser. Ali H. M. Murid. Samer A. A. Al-Hatemi. "A Boundary Integral Equation with the Generalized Neumann Kernel for a Certain Class of Mixed Boundary Value Problem." J. Appl. Math. 2012 1 - 17, 2012. https://doi.org/10.1155/2012/254123