| 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 |
| DOI：10.3969/J.ISSN.1000-5137.2021.01.002 |
| 分类号:O241 |
| 基金项目:中央高校基本科研业务费专项资金项目（2572018BC19） |
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| A multiple interval Taylor collocation method for a linear Volterra integro-differential equations |
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MA Shufang, JOKA Dengata-lemu, ZHONG Lin
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College of Science, Northeast Forestry University, Harbin 150040, Heilongjiang, China
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| 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. |
| Key words: linear Volterra integro-differential equations(VIDEs) Taylor collocation method multiple interval approximation solution |
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