论文信息 - Analytical solutions of characteristic singular integral equations in the class of rational functions

Analytical solutions of characteristic singular integral equations in the class of rational functions

We construct four kinds of solution of Cauchy type characteristic singular integral equations using four kinds of basis, when the known function is rational. We consider the denominator of this rational function has only simple roots. It is found that for this kinds of rational function, the solutions are irrational.

Mohammad Yaghobifar | Nik Mohd. Asri Nik Long | Zainidin K. Eshkuratov | N. Long | M. Yaghobifar

[1] F. Smithies,et al. Singular Integral Equations , 1955, The Mathematical Gazette.

[2] Khosrow Maleknejad,et al. Discussion on convergence of Legendre polynomial for numerical solution of integral equations , 2007, Appl. Math. Comput..

[3] I. N. Sneddon,et al. Boundary value problems , 2007 .

[4] Andrei D. Polyanin,et al. Handbook of Integral Equations: Second Edition , 2008 .

[5] Z. K. Eshkuvatov,et al. Quadrature formula for approximating the singular integral of Cauchy type with unbounded weight function on the edges , 2009, J. Comput. Appl. Math..

[6] W. Hackbusch. Singular Integral Equations , 1995 .