| 求解非线性问题的一种方法 |
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| 引用本文： | 袁镒吾,袁雪辉. 求解非线性问题的一种方法[J]. 石油化工高等学校学报, 1996, 9(4): 74-77 |
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| 作者姓名： | 袁镒吾 袁雪辉 |
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| 作者单位： | 中南工业大学(袁镒吾)，广东珠海建筑工程质检站(袁雪辉) |
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| 摘 要： | 提出一个求解强非线性问题的新方法．此法不要求微分方程中含有微量项，只是将预估的零级近似解加以修正，使之逐渐逼近于真实解，可把一个非线性问题转化成为一个线性问题。算例表明，对求解强非线性问题比已有的正则或奇异摄动解法更有效．
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| 关 键 词： | 线性，非线性，逐次逼过，奇异摄动法 |
A Method for Seeking the Solutions of Non-linear Problems |
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| Yuan Yiwu. A Method for Seeking the Solutions of Non-linear Problems[J]. Journal of Petrochemical Universities, 1996, 9(4): 74-77 |
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| Authors: | Yuan Yiwu |
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| Abstract: | In this paper, the author proposes a new method for seeking the solution of nonlinear problems.This method does not demand that in the differenctial equations have the terms of small quantities. We onlyprogressively correct the prejudged zeroth approximate solution in order that it progressively approaches theexact solution.The new method transforms the nonlinear problem into a linear one. There are calculationexamples. Calculation examples show that for seeking to solve the nonlinear problems the method is bet- ter than the known regular or singular pertubation methods. |
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| Keywords: | Linear Strongly nonlinear Progressively approaching Singular perturbation |
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