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Direct methods for numerical solution of singular integro-differential equations in classical Holder spaces (case γ≠ 0)

机译：经典支架空间中奇异积分微分方程数值解的直接方法（案例γ≠0）

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In this article we elaborate the numerical schemes of the collocation and quadrature- interpolation methods for the approximate solution of the singular integro-differential equations when the kernel has a weak singularity. The equations are defined on the arbitrary smooth closed contour of complex plane. The collocation and quadrature-interpolation methods are based on the descritization using Fejer points. Theoretical background for these methods is to be laid in classical Holder spaces.

机译：在本文中，我们详细说明了当内核具有较弱的奇异性时奇异积分微分方程的近似解的搭配和正交插值方法的数值方案。等式在复杂平面的任意平滑封闭轮廓上定义。搭配和正交插值方法基于使用FEJER点的说明。这些方法的理论背景是铺设在古典持有者空间中。

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《WSEAS International Conferences》|2008年||共4页
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作者
Iurie Caraus; Nikos E. Mastorakis;
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原文格式 PDF
正文语种
中图分类 TP301-53;
关键词
Fejer points; Weak singularity; Collocation methods;

机译：Fejer积分;弱奇点;搭配方法;

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专利

1. The numerical solution for Singular Integro-Differential Equations in Generalized Holder spaces [J] . Iurie Caraus, Nikos E. Mastorakis WSEAS Transactions on Mathematics . 2006,第5期

机译：广义Holder空间中奇异积分微分方程的数值解。
2. Approximate Solution of Singular Integro-Differential Equations by Reduction Methods in Generalized Holder spaces [J] . Feras M. Al-Faqih, Nikos E. Mastorakis, Iurie Caraus WSEAS Transactions on Mathematics . 2007,第4期

机译：广义Holder空间中奇异积分微分方程的约简解的近似解。
3. Approximate Solution of Systems of Singular Integro-Differential Equations by Reduction Method in Generalized Holder spaces [J] . Feras M. Al Faqih, Nikos E. Mastorakis, Iurie Caraus WSEAS Transactions on Mathematics . 2012,第7a9期

机译：广义Holder空间中奇异积分微分方程组的约简方法的近似解。
4. Direct methods for numerical solution of singular integro-differential equations in classical Holder spaces (case γ≠ 0) [C] . Iurie Caraus, Nikos E. Mastorakis WSEAS International Conferences . 2008

机译：经典支架空间中奇异积分微分方程数值解的直接方法（案例γ≠0）
5. Null-space methods for numerical solutions of differential equations. [D] . Neradt, Hanna Joy. 2007

机译：用于微分方程数值解的零空间方法。
6. A Collocation Method for Numerical Solution of Nonlinear Delay Integro-Differential Equations for Wireless Sensor Network and Internet of Things [O] . Rohul Amin, Shah Nazir, Iván García-Magariño 2020

机译：无线传感器网络与物联网非线性时滞积分微分方程数值解的配置方法
7. Cauchy singular integral equations in spaces of continuous functions and methods for their numerical solution [O] . Junghanns Peter, Luther Uwe 1997

机译：连续函数空间中的柯西奇异积分方程及其数值解方法

Direct methods for numerical solution of singular integro-differential equations in classical Holder spaces (case γ≠ 0)

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