On the Construction Test Equations and its Applying to solving Volterra Integral Equation

机译：构造试验方程及其在求解Volterra积分方程中的应用

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It is known, that solution of many problems of modern mathematics reduces to solving Volterra integral equations. One of the popular methods for solving Volterra integral equation is the quadrature method. To the increases order of accuracy for the multistep methods some authors suggested some modification then and using hybrid methods. Here, for constructing more exact methods by using test equations and hybrid methods. Suggested construct method with the order of accuracy p = 4 and p = 6 by using only two mesh points.

机译：众所周知，现代数学的许多问题的解决方案只能解决Volterra积分方程。求解Volterra积分方程的一种流行方法是正交方法。为了提高多步方法的准确性，一些作者建议随后进行一些修改，并使用混合方法。在这里，通过使用测试方程和混合方法来构建更精确的方法。通过仅使用两个网格点，建议的构造方法的精度为p = 4和p = 6。

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来源
《Mathematical methods for information science and economics》|2012年|109-114|共6页
会议地点 Montreux(CH)
作者
G.YU.MEHDIYEVA; M.N.IMANOVA; V.R.IBRAHIMOV;
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作者单位

Calculation mathematics Baku State University Z. Khalilov 23 AZERBAIJAN;

Calculation mathematics Baku State University Z. Khalilov 23 AZERBAIJAN;

Calculation mathematics Baku State University Z. Khalilov 23 AZERBAIJAN;

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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
Volterra integral equation; hybrid methods; quadrature method;

机译：Volterra积分方程;混合方法正交法;

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On the Construction Test Equations and its Applying to solving Volterra Integral Equation

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