Some approximations of twodimensional potensial and singular integrals

In this study, two-dimensional potentials and singular integrals were discussed. Spline approximations of real-valued functions with two variables have been used for approximations of complex-valued functions. First and second order of accuracy approximate formulas for two-dimensional potential integrals were studied by using some approximations of complex valued functions. Then, approximations of two-dimensional singular integrals were invesigated. Second order of accuracy approximate formula for twodimensional singular integral is proposed.The errors of first and second order accuracy approaches were examined for potential and singular integrals in the test samples by using MATLAB. Key Words: Complex valued functions, Potential integral, Singular integral, Singular integral equation, Approximation.