Solution of the System of Cauchy-type Singular Integral Equations of the First Kind by Third- and Fourth- Kind Chebyshev Polynomials

Duru, Hatice KubraYusufoglu, Elin2020-03-262020-03-262015978-0-7354-1287-30094-243Xhttps://dx.doi.org/10.1063/1.4912683https://hdl.handle.net/20.500.12395/32564International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 22-28, 2014 -- Rhodes, GREECEIn this study, the solutions of system of the first kind Cauchy type singular integral equation are presented for bounded at the left limit point x = -1 and unbounded at the right limit point. Numerical solutions are presented for mentioned case by transforming first kind of singular integral equations to the system of linear equation using Chebyshev series expansion.en10.1063/1.4912683info:eu-repo/semantics/closedAccessApproximate techniqueCharacteristic EquationsChebyshev PolynomialsSingular Integral EquationsSolution of the System of Cauchy-type Singular Integral Equations of the First Kind by Third- and Fourth- Kind Chebyshev PolynomialsConference Object1648N/AWOS:000355339702091N/A