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

Figure 12

The quadrature nodes used to discretize the boundary in Example 10 and the 1000 randomly chosen interior points (a). The relative error of the computed solution of the Dirichlet problem versus the number of discretization points using both methods with different values of the grading parameter in Example 10 (b).