| 由基函数选择辅助线性算子的方法 |
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| 引用本文： | 苏道毕力格,王晓民,盖立涛.由基函数选择辅助线性算子的方法[J].内蒙古工业大学学报,2013(4):241-245. |
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| 作者姓名： | 苏道毕力格 王晓民 盖立涛 |
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| 作者单位： | 内蒙古工业大学理学院,呼和浩特010051 |
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| 基金项目： | 内蒙古自治区高等学校科学技术研究项目（No.NJZY12056）;内蒙古自然科学基金项目（No.2011BS0106） |
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| 摘 要： | 本文研究了同伦分析方法中由基函数选择有效的辅助线性算子的方法，并将其应用到同伦分析方法中，求解了一个非线性偏微分方程边值问题，并且获得了收敛的级数解．结果表明此方法是有效的，也有利于同伦分析方法的进一步研究．
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| 关 键 词： | 同伦分析方法 辅助线性算子 非线性偏微分方程边值问题 |
The Method of Choosing the Auxiliary Linear Operator According to Set of Base Functions |
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| SUDAO Bilige,WANG XiaoMin,GAI LiTao.The Method of Choosing the Auxiliary Linear Operator According to Set of Base Functions[J].Journal of Inner Mongolia Polytechnic University(Social Sciences Edition),2013(4):241-245. |
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| Authors: | SUDAO Bilige WANG XiaoMin GAI LiTao |
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| Institution: | ( College of Sciences, Inner Mongolia University of Technology, Hohhot, 010051, PR China ) |
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| Abstract: | In this paper, we study a method which choosing auxiliary linear operator to homotopy analysis method according to set of base functions. We apply our method to homotopy analysis method and solve a boundary value problem of nonlinear partial differential equation, and obtain convergent series solutions. The results show that our method is effective, and it leads to further research of homotopy analysis method. |
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| Keywords: | homotopy analysis method the auxiliary linear operator the boundary value problem of nonlinear partial differential equation |
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