Approximate solution of two-dimensional singular integral equation

Subject Integral equations and integral transforms
Title Approximate solution of two-dimensional singular integral equation
Author(s) Charyyar Ashyralyyev, Zafer Cakir
Keywords two-dimensional singular integral, singular integral equation, mechanical quadrature method
Abstract In this study, approximate quadrature formulas for numerical calculation of two-dimensional Vekua potential and singular integrals are obtained. The mechanical quadrature method for two-dimensional quasilinear singular integral equation with Vekua operators is described. The numerical results are compared with the exact solution of the integral equation.