A NUMERICAL TREATMENT FOR SOLVING CAUCHY TYPE SINGULAR INTEGRAL EQUATIONS

M. Abdulkawi (Malaysia), Z. K. Eshkuvatov (Malaysia) and N. M. A. Nik Long (Malaysia)

Received December 20, 2008

References:

[1] A. Chakrabarti and V. G. Berghe, Approximate solution of singular integral equations, Appl. Math. Lett. 17 (2004), 553-559. [2] Z. K. Eshkuvatov, N. M. A. Nik Long and M. Abdulkawi, Approximate solution of singular integral equations of the first kind with Cauchy kernel, Appl. Math. Lett. 22(5) (2009), 651-657. [3] F. D. Gakhov, Boundary Value Problems, translation edited by I. N. Sneddon, Pergamon Press Ltd., 1963. [4] E. G. Ladopoulos, Singular Integral Equations: Linear and Non-linear Theory and its Applications in Science and Engineering, Springer-Verlag, 2000. [5] I. K. Lifanov, Singular Integral Equation and Discrete Vortices, VSO, The Netherlands, 1996. [6] J. C. Mason and D. C. Handscomb, Chebyshev Polynomials, CRC Press, 2003. [7] N. I. Muskhelishvili, Singular Integral Equations, translated from Russian into English by J. R. M. Radok, Noordhoff, 1953.

Keywords and phrases: singular integral equations, Cauchy kernel, Chebyshev approximation.