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一类延时积分方程的外推算法

An Extrapolation Algorithm for Delay Integral Equation
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摘要 通过使用中矩形积分公式离散延时积分方程,并对非整数结点采用插值逼近,得到了一个高精度数值新算法,其收敛阶可达O(h2).为达到更高精度,采用外推技术,可使收敛阶提高到O(h3).最后的数值算例很好的验证了理论结果. Rectangle formula was used to disperse delay integral equation and interpretation was used for the non-integer node and a new numerical algorithm of delay integral equation was obtained.The new algorithm is a high-accuracy algorithm and its convergence order can be up to O（h^2）.In order to achieve greater precision order,extrapolation techniques were used to make the convergence order up to O（h^3）.The final numerical examples verified the theoretical results well.
作者 肖继红 王李会 吕涛
机构地区 四川大学锦江学院 四川大学数学学院 四川泸县第六中学
出处 《成都大学学报（自然科学版）》 2010年第3期221-224,228,共5页 Journal of Chengdu University（Natural Science Edition）
基金 国家自然科学基金(10671136)资助项目
关键词 延时积分方程 渐进展开 外推 后验误差估计 delay integral equation asymptotic approximation extrapolation posteriori error estimate
分类号 O241.83 [理学—计算数学]
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参考文献13

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共引文献12

成都大学学报（自然科学版）
2010年 第3期

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