一类Volterra积分方程的3/8 Simpson数值格式

Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI:10.12988/nade.2019.9812

M. A. Alzhrani, H. Bakodah, M. Al-Mazmumy

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引用次数: 2

摘要

本文提出了求解第一类线性、非线性和系统Volterra积分方程的3/8 Simpson数值格式。用经典的辛普森规则对该方案进行了进一步的评估，结果表明该方案具有较高的精度和最小的误差。此外，我们将该方案应用于每个类别的某些数值实例，发现它比其他方法具有更高的准确性和简便性。

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A 3/8 Simpson's numerical scheme for the classes of Volterra integral equations of first kind

In this paper, we proposed a 3/8 Simpson’s numerical scheme for solving the linear, nonlinear and system of Volterra integral equations of the ﬁrst kind. The scheme is further assessed with the classical Simpson’s rule and revealed a high level of accuracy with minimal error. Further, we applied the scheme to certain numerical examples in each category and it is found to be of great accuracy and simplicity over other methods.

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Nonlinear Analysis and Differential Equations

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