| 一类积分微分方程的解法 |
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| 引用本文： | 周永芳,杜广环,王新霞. 一类积分微分方程的解法[J]. 黑龙江科技学院学报, 2006, 16(5): 332-334 |
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| 作者姓名： | 周永芳 杜广环 王新霞 |
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| 作者单位： | 黑龙江科技学院,数力系,哈尔滨,150027 |
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| 摘 要： | 在再生核空间W22[0, 1]中讨论一类积分微分方程的求解方法,给出方程的准确解,准确解用级数形式表达,通过截断准确解的级数表达式可直接得到方程的近似解,并且近似解一致收敛于准确解;数值试验说明此方法是有效的.
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| 关 键 词： | 准确解 再生核空间 积分微分方程 |
| 文章编号： | 1671-0118(2006)05-0332-03 |
| 修稿时间： | 2006-07-03 |
Solving class of integro-differential equations in reproducing kernel space |
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| ZHOU Yongfang,DU Guanghuan,WANG Xinxia. Solving class of integro-differential equations in reproducing kernel space[J]. Journal of Heilongjiang Institute of Science and Technology, 2006, 16(5): 332-334 |
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| Authors: | ZHOU Yongfang DU Guanghuan WANG Xinxia |
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| Abstract: | This paper discusses a new method for a class of integro-differential equations in reproducing kernel space.Its exact solution is represented.The approximate solution is obtained by truncating the exact solution and the convergence is guaranteed.Numerical example is studied to demonstrate the accuracy of the present method. |
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| Keywords: | exact solution reproducing kernel space integro-differential equation |
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