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

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

机译：求解封闭光滑轮廓上的非线性奇异积分方程的正交方法在空间中的理论基础

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摘要

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.

机译：为求解在任意闭合光滑轮廓上给出的非线性奇异积分方程（SIE）的一些正交方法的计算方案提供了理论基础。在Holder空间中获得了近似解的收敛速度的估计。

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《Journal of Mathematics Research》 |2012年第4期|共4页
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Omar M. Hawamdeh; Adeeb A. Alrahmneh;
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中图分类数学;
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7. The Theoretical Foundation in the Holder Space of Quadratures Method of Solving Nonlinear Singular Integral Equations Given on Closed Smooth Contour [O] . Omar M. Hawamdeh, Adeeb A. Alrahmneh 2012

机译：求解闭合光滑轮廓上的非线性奇异积分方程组的正交空间的理论基础
8. Numerical Quadrature Methods for Integrals of Singular Periodic Functions and Their Application to Singular and Weakly Singular Integral Equations [R] . Sidi, A., Israeli, M. 1986

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

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