Approximate solution of the two-dimensional singular integral equation

机译：二维奇异积分方程的近似解

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Approximate quadrature formulas for the numerical calculation of the two-dimensional Vekua potential and singular integrals are obtained. The mechanical quadrature method for the two-dimensional quasilinear singular integral equation with Vekua operators is described. The numerical results are compared with the exact solution of the integral equation.

机译：获得了二维Vekua电位和奇异积分数值计算的近似正交公式。描述了具有Vekua算子的二维拟线性奇异整体方程的机械正交方法。将数值结果与整体方程的精确解进行比较。

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来源
《International Conference on Analysis and Applied Mathematics》|2014年||共5页
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作者
Charyyar Ashyralyyev; Zafer Cakir;
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中图分类 O17-532;
关键词
Two-dimensional singular integral; Singular integral equation; Mechanical quadrature method;

机译：二维奇异积分;奇异积分方程;机械正交方法;
入库时间 2022-08-21 07:07:04

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2. On the approximate solution of some two-dimensional singular integral equations [J] . Didenko VD., Silbermann B. Mathematical Methods in the Applied Sciences . 2001,第15期

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3. Estimates for Weakly Singular Integral Operators Defined on Closed Integration Contours and Their Applications to the Approximate Solution of Singular Integral Equations [J] . V. N. Seichuk Differential equations: A translation of differensial'nye uraveniya . 2005,第9期

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4. Approximate solution of the two-dimensional singular integral equation [C] . Charyyar Ashyralyyev, Zafer Cakir International Conference on Analysis and Applied Mathematics . 2014

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5. APPLICATION OF INTEGRAL EQUATIONS TO APPROXIMATE SOLUTIONS OF ELECTRICAL ENGINEERING PROBLEMS. [D] . SHUCKER, SIDNEY. 1961

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8. Approximate solution of system of singular integral equations [R] . Erdogan, F. 1968

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Approximate solution of the two-dimensional singular integral equation

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