Mikhlin’s Integral Equation and the Integral Equation with the Generalized Neumann Kernel on Simply Connected Domains

Algorithm 2

Solving the Dirichlet problem using the integral equation with the gNk method

Step 1. Solve the integral equation (63) for .

Step 2. Compute the values of for using formula (49), where the boundary values of are given by (64).

Step 3. Finally, evaluate the solution as .