The Theoretical Foundation in the Holder Space of Quadratures Method of Solving Nonlinear Singular Integral Equations Given on Closed Smooth Contour

Omar M. Hawamdeh, Adeeb A. Alrahmneh


A theoretical foundation is proposed for some computing schemes of quadratures method for solving nonlinear singular integral equations (SIE) given on arbitrary closed smooth contour. Estimations of convergence rate of approximative solution are obtained in Holder spaces.

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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