张根根^1,2, 唐蕾², 肖爱国²

1. 广西师范大学 数学与统计学院, 桂林 541004;
2. 湘潭大学数学与计算科学学院, 湘潭 411105

收稿日期:2016-12-31出版日期:2018-03-15发布日期:2018-02-03


基金资助:国家自然科学基金项目（No.11671343，11271311，11701110），广西高等学校高水平创新团队及卓越****计划资助.

STABILITY AND ERROR ANALYSIS OF IMPLICIT-EXPLICIT ONE-LEG METHODS FOR STIFF VOLTERRA DELAY INTEGRO-DIFFERENTIAL EQUATIONS

Zhang Gengen^1,2, Tang Lei², Xiao Aiguo²

1. School of Mathematics and Statistics, Guangxi Normal University, Guilin 541004, China;
2. School of Mathematics and Computational Science, Xiangtan University, Hunan 411105, China

Received:2016-12-31Online:2018-03-15Published:2018-02-03







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本文主要研究用隐显单支方法求解一类刚性Volterra延迟积分微分方程初值问题时的稳定性与误差分析。我们获得并证明了结论：若隐显单支方法满足2阶相容条件，且其中的隐式单支方法是A-稳定的，则隐显单支方法是2阶收敛且关于初值扰动是稳定的.最后，由数值算例验证了相关结论.
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