On the numerical solution of singular integral equations using Sandikidze's approximaton

• Autorzy: Nadir M. , Antidze O. J.
• Języki publikacji: EN

Abstrakty

EN

The aim of this work is to solve singular integral equations (S.I.E), of Cauchy type on a smooth curve by pieces. This method is based on the approximation of the singular integral of the dominant part [6], where the (S.I.E) is reduced to a linear system of equations and to realize this approach numerically by the means of a program [3, 5].

• Wydawca: Institute of Bioorganic Chemistry Scientific Publishers OWN, Polish Academy of Sciences
• Czasopismo: Computational Methods in Science and Technology
• Rocznik: 2004
• Tom: Vol. 10, nr 1
• Strony: 83--89
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Nadir M.

• Department of Mathematics, University of M'sila, 2800 M'sila, Algeria

autor

Antidze O. J.

• Institute of Applied Mathematics, Tbilisi, Georgia

Bibliografia

• [1] D. J. Antidze, On the approximate solution of singular integral equations, Seminar of Institute of Applied Mathematics, 1975, Tbilissi.
• [2] N. I. Muskhelishvili, Singular integral equations, “Nauka” Moscow, 1968, English transl, of lsted Noordhoff, 1953; reprint,1972.
• [3] M. Nadir, Problemes aux limites qui se reduisent aux equations integrales de Fredholm, Seminaire de l’Institut de Mathematiques et Informatique, 1985, Annaba.
• [4] M. Nadir, Operateurs integraux et bases d’ondelettes, Far East J. Sci. 6(6) 977-995 (1998).
• [5] M. Nadir, On the approximation of theHilbert transform, Far East J. App. Math. 1, 71-786 (2003).
• [6] J. Sanikidze, On approximate calculation of singular line integral, Seminar of Institute of Applied Mathematics, 1970, Tbilissi
• [7] J. Sanikidze, Approximate solution of singular integral equations in the case of closed contours of integration, Seminar of Institute of Applied Mathematics, 1971, Tbilissi.