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Article

On the Modified Newton’s Method for the Solution of a Class of Nonlinear Singular Integro-Differential Equations

by
S. M. Amer
*,
A. A. M. Hassan
and
A. H. Radwan
Dept. of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2005, 10(2), 269-281; https://doi.org/10.3390/mca10020269
Published: 1 August 2005
Versions Notes

Abstract

In this paper we investigate the solvability of a certain class of nonlinear singular integro-differential equations with Cauchy kernel in the usual Holder space and its generalization by producing the sufficient conditions for the convergence of the modified Newton's method.
Keywords: Nonlinear singular integro-differential equations; Modified Newton's method Nonlinear singular integro-differential equations; Modified Newton's method

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MDPI and ACS Style

Amer, S.M.; Hassan, A.A.M.; Radwan, A.H. On the Modified Newton’s Method for the Solution of a Class of Nonlinear Singular Integro-Differential Equations. Math. Comput. Appl. 2005, 10, 269-281. https://doi.org/10.3390/mca10020269

AMA Style

Amer SM, Hassan AAM, Radwan AH. On the Modified Newton’s Method for the Solution of a Class of Nonlinear Singular Integro-Differential Equations. Mathematical and Computational Applications. 2005; 10(2):269-281. https://doi.org/10.3390/mca10020269

Chicago/Turabian Style

Amer, S. M., A. A. M. Hassan, and A. H. Radwan. 2005. "On the Modified Newton’s Method for the Solution of a Class of Nonlinear Singular Integro-Differential Equations" Mathematical and Computational Applications 10, no. 2: 269-281. https://doi.org/10.3390/mca10020269

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