| 用摄动法求两类方程的近似解 |
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| 引用本文： | 曹春健,欧阳成.用摄动法求两类方程的近似解[J].烟台师范学院学报(自然科学版),2009(4):299-303. |
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| 作者姓名： | 曹春健 欧阳成 |
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| 作者单位： | 湖州师范学院数学系,浙江湖州313000 |
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| 基金项目： | 国家第一类特色专业（数学与应用数学） 浙江省自然科学基金（Y606268） |
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| 摘 要： | 用摄动法分别讨论了一类摄动方程的近似解和一类超越方程的大根.在适当条件下,得到了两类方程解的渐近表达式.对第一类方程,推广了已有的结果;对第二类方程,得到了具有较高精度的近似解.
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| 关 键 词： | 摄动方程 超越方程 渐近展开式 近似解 |
Approximate Solutions for Two Classes of Equations Based on Perturbation Method |
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| CAO Chun-jian,OUYANG Cheng.Approximate Solutions for Two Classes of Equations Based on Perturbation Method[J].Yantai Teachers University journal(Natural Science Edition),2009(4):299-303. |
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| Authors: | CAO Chun-jian OUYANG Cheng |
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| Institution: | (Department of Mathematics,Huzhou Teachers College,Huzhou 313000,China) |
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| Abstract: | The approximate solution for a class of perturbed equations and the large root for a class of transcendental equations are discussed respectively by using perturbation method.Under appropriate assumptions,their asymptotic expressions are obtained.The known results are generalized for the first class of equations,and the approximate solutions with high accuracy for the second class of equations are obtained. |
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| Keywords: | perturbation equation transcendental equation asymptotic expansion approximate solution |
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