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Article

A Collocation Method for a Class of Nonlinear Singular Integral Equations with a Carleman Shift

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
Math. Comput. Appl. 2012, 17(2), 121-131; https://doi.org/10.3390/mca17020121
Published: 1 August 2012

Abstract

The paper is concerned with the applicability of the collocation method to a class of nonlinear singular integral equations with a Carleman shift preserving orientation on simple closed smooth Jordan curve in the generalized Holder space Hφ(L).
Keywords: Nonlinear singular integral equations; Carleman shift; Collocation method; Noether operator Nonlinear singular integral equations; Carleman shift; Collocation method; Noether operator

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MDPI and ACS Style

Allan, M.M. A Collocation Method for a Class of Nonlinear Singular Integral Equations with a Carleman Shift. Math. Comput. Appl. 2012, 17, 121-131. https://doi.org/10.3390/mca17020121

AMA Style

Allan MM. A Collocation Method for a Class of Nonlinear Singular Integral Equations with a Carleman Shift. Mathematical and Computational Applications. 2012; 17(2):121-131. https://doi.org/10.3390/mca17020121

Chicago/Turabian Style

Allan, Mohamed M. 2012. "A Collocation Method for a Class of Nonlinear Singular Integral Equations with a Carleman Shift" Mathematical and Computational Applications 17, no. 2: 121-131. https://doi.org/10.3390/mca17020121

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