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多区间泰勒配置法求解一类线性Volterra积分-微分方程
引用本文:马淑芳,莱蒙,钟霖.多区间泰勒配置法求解一类线性Volterra积分-微分方程[J].上海师范大学学报(自然科学版),2021,50(1):8-13.
作者姓名:马淑芳  莱蒙  钟霖
作者单位:东北林业大学 理学院, 黑龙江 哈尔滨 150040,东北林业大学 理学院, 黑龙江 哈尔滨 150040,东北林业大学 理学院, 黑龙江 哈尔滨 150040
基金项目:中央高校基本科研业务费专项资金项目(2572018BC19)
摘    要:考虑了一类线性Volterra积分-微分方程(VIDEs)的多区间泰勒配置解法,其主要技术是将求解线性VIDEs转化为求解线性代数方程组.该方法的优点是易于实现,适用于长时间的计算.采用基于残差函数的误差分析法分析了方法的误差,通过算例验证了所提出方法的适用性和有效性.

关 键 词:线性Volterra积分-微分方程(VIDEs)  泰勒配置方法  多区间  近似解
收稿时间:2020/5/5 0:00:00

A multiple interval Taylor collocation method for a linear Volterra integro-differential equations
MA Shufang,JOKA Dengata-lemu and ZHONG Lin.A multiple interval Taylor collocation method for a linear Volterra integro-differential equations[J].Journal of Shanghai Normal University(Natural Sciences),2021,50(1):8-13.
Authors:MA Shufang  JOKA Dengata-lemu and ZHONG Lin
Institution:College of Science, Northeast Forestry University, Harbin 150040, Heilongjiang, China,College of Science, Northeast Forestry University, Harbin 150040, Heilongjiang, China and College of Science, Northeast Forestry University, Harbin 150040, Heilongjiang, China
Abstract:In this paper, we consider a multiple interval Taylor collocation method for a class of linear Volterra integro-differential equations(VIDEs). The main technique is to reduce the linear Volterra integro-differential equations(VIDEs) to a linear algebraic system. The advantage of this method is that it is easy to implement and suitable for long-time calculation. And we analyze the error of the method based on residual function. Finally, the applicability and effectiveness of the method are verified by an example.
Keywords:linear Volterra integro-differential equations(VIDEs)  Taylor collocation method  multiple interval  approximation solution
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