非线性Fredholm-Volterra积分方程的分段常函数配点法数值解

Am. J. Comput. Math. Pub Date : 2011-06-30 DOI:10.4236/ajcm.2011.12014

A. Shahsavaran

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引用次数: 7

摘要

本文提出了一种求解第二类非线性Fredholm-Volterra积分方程的计算方法，该方法基于用已知的块脉冲函数(BPfs)展开的截断序列替换未知函数。通过误差分析，证明了该方法的有效性。最后，给出了数值算例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Numerical Solution of Nonlinear Fredholm-Volterra Integtral Equations via Piecewise Constant Function by Collocation Method

In this work, we present a computational method for solving nonlinear Fredholm-Volterra integral equations of the second kind which is based on replacement of the unknown function by truncated series of well known Block-Pulse functions (BPfs) expansion. Error analysis is worked out that shows efficiency of the method. Finally, we also give some numerical examples.

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Am. J. Comput. Math.

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