| A Continuation Method of Parameter Inversion for Non-Equilibrium Convection-Dispersion Equation |
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| 引用本文： | 崔凯 杨国伟. A Continuation Method of Parameter Inversion for Non-Equilibrium Convection-Dispersion Equation[J]. 中国物理快报, 2005, 22(11): 2738-2741 |
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| 作者姓名： | 崔凯 杨国伟 |
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| 作者单位： | Laboratory of High-Temperature Gas Dynamics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080 |
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| 基金项目： | Supported by the K C Wang Education of Foundation of Hong Kong, and the National Natural Science Foundation of China under Grant Nos 10402043 and 10372106. |
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| 摘 要： | Based on the homotopy mapping, a globally convergent method of parameter inversion for non-equilibrium convection-dispersion equations （CDEs） is developed. Moreover, in order to further improve the computational efficiency of the algorithm, a properly smooth function, which is derived from the sigmoid function, is employed to update the homotopy parameter during iteration. Numerical results show the feature of global convergence and high performance of this method. In addition, even the measurement quantities are heavily contaminated by noises, and a good solution can be found.
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| 关 键 词： | 非平衡对流传播方程 参数倒置 同伦映射 收敛性 光滑函数 |
| 收稿时间： | 2005-04-13 |
| 修稿时间： | 2005-04-13 |
A Continuation Method of Parameter Inversion for Non-Equilibrium Convection-Dispersion Equation |
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| CUI Ka, YANG Guo-Wei. A Continuation Method of Parameter Inversion for Non-Equilibrium Convection-Dispersion Equation[J]. Chinese Physics Letters, 2005, 22(11): 2738-2741 |
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| Authors: | CUI Ka YANG Guo-Wei |
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