| 一类延时积分方程的外推算法 |
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| 引用本文： | 肖继红,王李会,吕涛. 一类延时积分方程的外推算法[J]. 成都大学学报(自然科学版), 2010, 29(3): 221-224,228. DOI: 10.3969/j.issn.1004-5422.2010.03.009 |
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| 作者姓名： | 肖继红 王李会 吕涛 |
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| 作者单位： | 四川大学,锦江学院,四川,彭山,620860;四川大学,数学学院,四川,成都,610064;四川泸县第六中学,四川,泸州,646107;四川大学,数学学院,四川,成都,610064 |
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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.
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| 关 键 词： | 延时积分方程 渐进展开 外推 后验误差估计 |
An Extrapolation Algorithm for Delay Integral Equation |
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| XIAO Jihong,WANG Lihui,LV Tao. An Extrapolation Algorithm for Delay Integral Equation[J]. Journal of Chengdu University (Natural Science), 2010, 29(3): 221-224,228. DOI: 10.3969/j.issn.1004-5422.2010.03.009 |
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| Authors: | XIAO Jihong WANG Lihui LV Tao |
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| Affiliation: | 1.Sichuan University Jinjiang College,Pengshan 620860,China;2.Luxian No.6 Middle School,Luzhou 646107,China;3.School of Mathematics,Sichuan University,Chengdu 610041,China) |
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| Abstract: | 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. |
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| Keywords: | delay integral equation asymptotic approximation extrapolation posteriori error estimate |
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