| 基于同伦摄动Sumudu转换法和Sumudu分解法求解非线性分数阶偏微分方程 |
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| 引用本文： | 尹伟石,韩涛.基于同伦摄动Sumudu转换法和Sumudu分解法求解非线性分数阶偏微分方程[J].复旦学报(自然科学版),2017,56(5). |
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| 作者姓名： | 尹伟石 韩涛 |
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| 作者单位： | 长春理工大学理学院,长春,130022 |
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| 摘 要： | 本文运用同伦摄动Sumudu转换法和Sumudu分解法求非线性分数阶偏微分方程的数值解,并对结果进行比较.两种方法计算过程简单,而且得到的近似解完全一致.
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| 关 键 词： | 分数阶偏微分方程 同伦摄动Sumudu转换法 Sumudu分解法 |
Based on Homotopy Perturbation Method for Solving Nonlinear Conversion Sumudu Fractional Partial Differential Equations |
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| YIN Weishi,HAN Tao.Based on Homotopy Perturbation Method for Solving Nonlinear Conversion Sumudu Fractional Partial Differential Equations[J].Journal of Fudan University(Natural Science),2017,56(5). |
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| Authors: | YIN Weishi HAN Tao |
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| Abstract: | In this paper,we use the homotopy perturbation Sumudu transformation method and Sumudu decomposition method to solve the nonlinear fractional differential equations,and the results are compared.The two methods are simple,and the approximate solutions are exactly the same. |
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| Keywords: | fractional partial differential equations homotopy perturbation Sumudu transform method Sumudu decomposition method |
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