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Linearized perturbation method for stochastic analysis of a rill erosion model |
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| Authors: | Shu-Li Mei Cheng-Jin Du Sen-Wen Zhang |
| Affiliation: | aCollege of Information and Electrical Engineering, China Agricultural University, Beijing 100083, PR China bCollege of Life Sciences, University College Dublin, Dublin 2, Ireland cThe Institute of Applied Mechanics, Jinan University, Guangzhou 510632, PR China |
| Abstract: | The linearization and correction method (LCM) proposed by He is a simple and effective perturbation technique to solve nonlinear equations. To analyze the random properties of rill erosion model, a new stochastic perturbation technique called linearized perturbation method is developed by combining the traditional stochastic perturbation method with the LCM. Comparisons between the numerical results obtained by the linearized perturbation method and those obtained by Monte Carlo method indicated an excellent agreement. However, the calculation efficiency of the linearized perturbation method is higher. |
| Keywords: | Linearization and correction method Stochastic analysis Rill erosion model |
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