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基于积分的数值微分算法 被引量：1

A Numerical Differentiation Method Based on the Integration
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摘要 利用微分与积分之间的互逆关系,给出了基于积分的数值微分算法,其实质是将数值微分问题等价转化为第一类积分方程的求解问题。借助数值积分法求解第一类的积分方程,给出了一元函数前两阶导数的近似计算方法,并通过算例说明了该方法的数值有效性。 Considering the inverse relation between the differentiation and integration, we give a nu-merical differentiation method based on the integration. Its essence is to rewrite the numerical differ-entiation problem as an integral equation of the first kind. With the help of the numerical integration method for solving the integral equation of the first kind, we give some approximate computing meth-ods for the first two order numerical derivatives, and show its numerical validity by examples.
作者 徐会林 郜星军
机构地区 河南理工大学数学与信息科学学院
出处 《江西科学》 2014年第1期1-4,7,共5页 Jiangxi Science
基金 国家自然科学基金(11226319) 河南省教育厅科学技术研究重点项目(13A110345) 国家级大学生创新项目(201310460007)
关键词 数值微分 积分 积分方程 数值算法 Numerical differentiation, Integration, Integral equation, Numerical algorithm
分类号 O241.4 [理学—计算数学]
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参考文献15

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二级参考文献26

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江西科学
2014年 第1期

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