Adapted quadratic approximation for logarithmic kernel integrals

• Autorzy: Nadir M.
• Języki publikacji: EN

Abstrakty

EN

In this work, we explain a new numerical schemes of collocation methods based on the adapted quadratic approximation of singular integral with logarithmic kernel. This approximation leads to obtain the numerical solution of singular integral equations with logarithmic kernel on an oriented smooth contour.

Słowa kluczowe

EN

weakly singular integral; quadratic interpolation; Hölder space; Hőlder condition

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2012
• Tom: Nr 49
• Strony: 75--85
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Nadir M.

• Laboratory of Pure and Applied Mathematics and Laboratory of Signals Analysis and Systems University of Msila 28000 Algeria

Bibliografia

• [1] Antidye D.J., On the Approximate Solution of Singular Integral Equations, Seminar of Institute of Applied Mathematics, Tbilissi, 1975.
• [2] Muskhelishvili N.I., Singular integral equations, Nauka, Moscow, 1968, English transl, of 1sted Noordhoff, 1953; reprint, 1972.
• [3] Nadir M., Antidze J., On the numerical solution of singular integral equations using Sanikidze’s approximation, Comp. Meth. in Sc. Tech., 10(1)(2004), 83-89.
• [4] Nadir M., Lakehali B., On the Approximation of Singular Integrals, FEN DERGisi (E-DERGi), 2(2)(2007), 236-240.
• [5] Nadir M., Adapted quadratic approximation for singular integrals, Journal of Mathematical Inequalities, 4(3)(2010), 423-430.
• [6] Nadir M., Adapted Quadratic Approximation for Singular Integrals Equations, to appear in International Journal of Applied Mathematics & Statistics, (IJAMAS), 2012.
• [7] Sanikidze J., On Approximate Calculation of Singular Line Integral, Seminar of Institute of Applied Mathematics, Tbilissi, 1970.
• [8] Sanikidze J., Approximate Solution of Singular Integral Equations in the Case of Closed Contours of Integration, Seminar of Institute of Applied Mathematics, Tbilissi, 1971.