Bounded solution of characteristic singular integral equation using differential transform method

机译：特征奇异积分方程的有界变换的微分变换方法

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摘要

The differential transform method is extended to solve the Cauchy type singular integral equation of the first kind. Bounded solution of the Cauchy type singular integral equation is discussed. Numerical results are shown to illustrate the efficiency and accuracy of the present solution.

机译：扩展了微分变换方法，以求解第一类柯西型奇异积分方程。讨论了柯西型奇异积分方程的有界解。显示了数值结果以说明本解决方案的效率和准确性。

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来源
《2015 International Conference on Research and Education in Mathematics》|2015年|45-50|共6页
会议地点 Kuala Lumpur(MY)
作者
Abdulkawi M.; Alyami M.Y.H.;
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作者单位

Department of Mathematics, Faculty of Science and Arts, Najran University, Saudi Arabia;

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会议组织
原文格式 PDF
正文语种 eng
中图分类
关键词
Chebyshev approximation; Education; Integral equations; Kernel; Transforms; Cauchy kernel; Singular integral equations; differential transform method;

机译：Chebyshev逼近;教育;积分方程核心;转换；柯西内核;奇异积分方程微分变换法;

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专利

1. Solution of Cauchy type singular integral equations of the first kind by using differential transform method [J] . M. Abdulkawi Applied Mathematical Modelling . 2015,第8期

机译：用微分变换法求解第一类柯西型奇异积分方程
2. Discussion on ????????Numerical solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics????????, ????????Analogue solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics???????? and ????????Analogue solution of elliptic differential equations by conformal transformations???????? [J] . Electrical Engineers, Proceedings of the Institution of . 1971,第6期

机译：用连续特性方法讨论二阶双曲型偏微分方程的数值解??????，二阶双曲型的模拟解偏微分方程的连续特性方法和利用共形变换的椭圆型微分方程的模拟解
3. Existence of bounded solutions of integral boundary value problems for singular differential equations on whole lines [J] . Yuji Liu, Shengping Chen International journal of mathematics . 2014,第8期

机译：整行奇异微分方程积分边值问题有界解的存在性
4. Bounded solution of characteristic singular integral equation using differential transform method [C] . Abdulkawi M., Alyami M.Y.H. International Conference on Research and Education in Mathematics . 2015

机译：不同变换法的特征奇异整体方程的有界解
5. CONVERGENCE AND SUPERCONVERGENCE OF NUMERICAL SOLUTIONS OF WEAKLY SINGULAR INTEGRAL AND DIFFERENTIAL EQUATIONS (GALERKIN, COLLOCATION, EIGENVALUES, EIGENVECTORS, SPLINES) [D] . LEBBAR, RACHID. 1986

机译：弱奇异积分和微分方程数值解的收敛性和超级度验收（Galerkin，Collocation，特征值，特征向量，花键）
6. A new multi-step technique with differential transform method for analytical solution of some nonlinear variable delay differential equations [O] . Brahim Benhammouda, Hector Vazquez-Leal -1

机译：微分变换方法的一种新的多步技术用于求解某些非线性可变时滞微分方程的解析解
7. CONVERGENCE OF FORMAL SOLUTIONS OF SINGULAR FIRST ORDER NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF TOTALLY CHARACTERISTIC TYPE (Integral representations and twisted cohomology in the theory of differential equations) [O] . Shirai Akira 2001

机译：完全特征型奇异阶一阶非线性偏微分方程形式解的收敛性（微分方程理论中的积分表示和扭曲同调）
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

机译：奇异周期函数积分的数值求积方法及其在奇异和弱奇异积分方程中的应用

Bounded solution of characteristic singular integral equation using differential transform method

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