| 一类非线性问题的同伦解法 |
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| 引用本文： | 唐荣荣. 一类非线性问题的同伦解法[J]. 工程数学学报, 2006, 23(4): 709-712 |
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| 作者姓名： | 唐荣荣 |
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| 作者单位： | 湖州师范学院数学系,湖州,313000 |
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| 基金项目： | 国家高技术研究发展计划(863计划);国家自然科学基金 |
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| 摘 要： | 利用同伦映射理论,本文研究了一类非线性问题。在适当的条件下较简捷地得到了问题解的估计式,并对一些典型的问题,解的估计式达到了较高的精度。
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| 关 键 词： | 非线性 同伦 渐近展开式 |
| 文章编号： | 1005-3085(2006)04-0709-04 |
| 收稿时间： | 2004-12-06 |
| 修稿时间： | 2004-12-06 |
The Homotopic Solving Method for a Class of Nonlinear Problems |
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| TANG Rong-rong. The Homotopic Solving Method for a Class of Nonlinear Problems[J]. Chinese Journal of Engineering Mathematics, 2006, 23(4): 709-712 |
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| Authors: | TANG Rong-rong |
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| Affiliation: | Department of Mathematics, Huzhou Teachers College, Huzhou 313000 |
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| Abstract: | Using the homotopy mapping theory, a class of nonlinear problems were studied. Under appropriate conditions, the asymptotic expansions of the solutions for the problems are obtained, and the higher precision is achieved for some problems. |
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| Keywords: | nonlinear homotopy asymptotic expansion |
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