Solution of the system of Cauchy-type singular integral equations of the first kind by third- and fourth- kind Chebyshev polynomials

Duru H. K., Yusufoʇlu E.

International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014, Rhodes, Greece, 22 - 28 September 2014, vol.1648, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1648
  • Doi Number: 10.1063/1.4912683
  • City: Rhodes
  • Country: Greece
  • Keywords: Approximate technique, Characteristic Equations, Chebyshev Polynomials, Singular Integral Equations
  • Uşak University Affiliated: Yes

Abstract

In this study, the solutionsof 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.