| 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. |