| 一类非线性奇摄动方程的匹配解法和解的精度估计 |
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| 引用本文： | 裘叶芳,唐荣荣.一类非线性奇摄动方程的匹配解法和解的精度估计[J].大学数学,2010,26(6). |
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| 作者姓名： | 裘叶芳 唐荣荣 |
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| 作者单位： | 湖州师范学院,理学院,湖州,313000 |
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| 基金项目： | 国家特色专业建设点"数学与应用数学"和湖州市自然科学基金项目 |
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| 摘 要： | 利用匹配渐近展开法,研究了一类非线性奇异摄动方程.在适当的条件下,得出了该类问题解的渐近展开式.并将结果应用于例子,对渐近解与精确解和用两变量方法求得的解进行比较,可知所得到的渐近解达到了较高精度.
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| 关 键 词： | 非线性方程 匹配 渐近展开式 边界层 |
The Matching Solving Method for a Class of Nonlinear Singularly Perturbed Equations and the Estimate of Precision for the Solution |
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| QIU Ye-fang,TANG Rong-rong.The Matching Solving Method for a Class of Nonlinear Singularly Perturbed Equations and the Estimate of Precision for the Solution[J].College Mathematics,2010,26(6). |
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| Authors: | QIU Ye-fang TANG Rong-rong |
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| Abstract: | Using matching asymptotic method,a class of nonlinear singularly perturbed equations is discussed.Under the appropriate conditions,the asymptotic expansion about the equations is obtained.Applying result to cases,we can get the approximate solution to achieve higher accuracy,compared with the exact solution and two variables solution. |
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| Keywords: | nonlinear equation matching asymptotic expansion boundary layer |
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