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

机译:在施工试验方程及其应用于求解Volterra积分方程

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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,现代数学问题的解决方案减少了求解Volterra积分方程。解决Volterra积分方程的流行方法之一是正交方法。对于多步骤方法的准确度提高,有些作者提出了一些修改,然后使用混合方法。这里,用于通过使用测试方程和混合方法构建更精确的方法。建议的构造方法通过仅使用两个网格点的精度p = 4和p = 6。

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