Spline Iterative Method for Pantograph Type Functional Differential Equations

机译：受电弓型泛函微分方程的样条迭代法

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Initial value problems and two-point boundary value problems for nonlinear pantograph type differential equations are investigated by presenting a new iterative numerical method based on constructing a sequence of splines that converges to the solution. The convergence of the method was proved by providing an error estimate and is tested on some numerical experiments.

机译：通过提出一种新的迭代数值方法，在构造收敛到解的样条序列的基础上，研究了非线性缩放类型微分方程的初值问题和两点边值问题。通过提供误差估计证明了该方法的收敛性，并在一些数值实验中进行了测试。

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来源
《Finite difference methods: theory and applications》|2018年|159-166|共8页
会议地点 Lozenetz(BG)
作者
Alexandria Mihai Bica; Mircea Curila; Sorin Curila;
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作者单位

Department of Mathematics and Computer Science, University of Oradea, Universitatii Str. no. 1, 410087 Oradea, Romania;

Department of Environmental Protection, University of Oradea, Oradea, Romania;

Department of Electronics and Telecommunications, University of Oradea, Oradea, Romania;

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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
Pantograph type equations; Iterated spline method; Convergence analysis;

机译：受电弓类型方程；迭代样条法；收敛分析;

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2. Numerical Solution of Pantograph-Type Delay Differential Equations Using Perturbation-Iteration Algorithms [J] . M. Mustafa Bah?i, Mehmet ?evik Journal of applied mathematics . 2015,第Pta2期

机译：受电弓式时滞微分方程的摄动迭代算法数值解
3. Numerical Solution of Pantograph-Type Delay Differential Equations Using Perturbation-Iteration Algorithms [J] . M. MustafaBah?i, Mehmet?evik Journal of applied mathematics . 2015,第1期

机译：受电弓迭代时滞微分方程的数值解
4. Spline Iterative Method for Pantograph Type Functional Differential Equations [C] . Alexandru Mihai Bica, Mircea Curila, Sorin Curila International Conference on Finite Difference Methods . 2019

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5. Spline Deferred Correction Methods for Ordinary Differential Equations [D] . Cheng, Peter. 2018

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6. Solutions to an advanced functional partial differential equation of the pantograph type [O] . Ali A. Zaidi, B. Van Brunt, G. C. Wake -1

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7. Block Method for Solving Pantograph-type Functional Differential Equations [O] . Fuziyah Ishak, Mohamed B. Suleiman, Zanariah A. Majid 2013

机译：求解受电弓泛函微分方程的块方法

Spline Iterative Method for Pantograph Type Functional Differential Equations

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