| 一类超越方程的摄动解 |
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| 引用本文： | 陈怀军.一类超越方程的摄动解[J].安徽师范大学学报(自然科学版),2007,30(6):635-636. |
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| 作者姓名： | 陈怀军 |
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| 作者单位： | 安徽师范大学,数学计算机科学学院,安徽,芜湖,241000 |
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| 摘 要： | 讨论了一类带小参数的超越方程.利用摄动展开法,首先将方程的解写成按小参数的幂的待定展开式;然后将它代入原方程,合并同次幂的系数,并分别令其为零;最后便依次地得到解的幂级数的系数,从而得到了相应方程解的渐近展开式.
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| 关 键 词： | 超越方程 摄动解 渐近展开式 |
| 文章编号： | 1001-2443（2007）06-0635-02 |
| 收稿时间： | 2007-03-07 |
Perturbed Solution for a Class of Transcendental Equation |
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| CHEN Huai-jun.Perturbed Solution for a Class of Transcendental Equation[J].Journal of Anhui Normal University(Natural Science Edition),2007,30(6):635-636. |
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| Authors: | CHEN Huai-jun |
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| Abstract: | A class of transcendental equation with small parameter is considered.In this paper,using the perturbation expansion method,the solutions of equation are written as undetermined expansion in powers of small parameter. Then it is substituted into the original equation.The coefficients of the same power are merged and sentenced to zero respectively.The coefficients of power series for the solution are solved,successively.The asymptotic expansions of slutions for corresponding equation are obtained. |
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| Keywords: | transcendental equation perturbed solution asymptotic expansion |
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