approximate solution of dual integral equations

s. ‎ahdiaghdam, faculty of mathematical sciences‎, ‎university of tabriz‎, ‎tabriz‎, ‎iran. k. ‎ivaz, faculty of mathematical sciences‎, ‎university of tabriz‎, ‎tabriz‎, ‎iran. s. ‎shahmorad, faculty of mathematical sciences‎, ‎university of tabriz‎, ‎tabriz‎, ‎iran.

چکیده

‎we study dual integral equations which appear in formulation of the‎ ‎potential distribution of an electrified plate with mixed boundary‎ ‎conditions‎. ‎these equations will be converted to a system of‎ ‎singular integral equations with cauchy type kernels‎. ‎using‎ ‎chebyshev polynomials‎, ‎we propose a method to approximate the‎ ‎solution of cauchy type singular integral equation which will be‎ ‎used to approximate the solution of the main dual integral‎ ‎equations‎. ‎numerical results demonstrate effectiveness of this method.