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一类弱奇性Volterra积分微分方程的级数展开数值解法

本站小编 Free考研考试/2021-12-27

古振东, 孙丽英
广东金融学院应用数学系, 广州 510521
收稿日期:2016-12-22出版日期:2017-12-15发布日期:2017-11-13


基金资助:广东省自然科学基金项目(2017A030310636),广东省高性能计算学会开放课题基金项目(2017060104),中山大学广东省计算科学重点实验室开放基金项目(2016001,2016006),广东省高等学校优秀青年教师培养计划项目(YQ201403),广东高校省级重点平台和重大科研项目(2015GXJK101)和广东金融学院金融数据挖掘与量化投资创新团队项目资助.


SERIES EXPANSION METHOD FOR WEAKLY SINGULAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

Gu Zhengdo, Sun Liying
Guangdong University of Finance Guangzhou 510521, China
Received:2016-12-22Online:2017-12-15Published:2017-11-13







摘要



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本文考察了一类弱奇性积分微分方程的级数展开数值解法,并给出了相应的收敛性分析.理论分析结果表明,若用已知函数的谱配置多项式逼近已知函数,那么方程的数值解以谱精度逼近方程的真解.数值实验数据也验证了这一理论分析结果.
MR(2010)主题分类:
65M70
45D05
45J05

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