泥沙反应扩散广义初边值问题的解析解

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基金项目: 国家自然科学基金资助项目(69933030)

The Analytical Solution for Sediment Reaction and Diffusion Equation With Generalized Initial-Boundary Conditions

1.
Department of Computer Science, National University of Science and Technology, Changsha 410073, P R China;
2.
Department of Civil and Structural Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, P R China

摘要: 对泥沙反应扩散广义初边值问题,采用Laplace变换和复变函数中的Jordan引理,导出了一种解析解,它可作为Kwokming James Cheng的解析解形式的推广(对应于本文中r=0的解析解形式),并分析了利用解析解求解过程中的若干问题。
- 泥沙 /
- 反应 /
- 扩散 /
- 解析解
Abstract: The sediment reaction and diffusion equation with generalized initial and boundary condition is studied.By using Laplace transform and Jordan lemma,an analytical solution is got,which is an extension of analytical solution provided by Cheng Kwokming James(only diffusion was considered in analytical solution of Cheng).Some problems arisen in the computation of analytical solution formula are also analysed.
- sediment /
- reaction /
- diffusion /
- analytical solution

[1]	Cheng Kwokming James. Bottom-boundary condition for nonequilibrium transport of sediment[J]. Journal of Geophysical Research,1984,89(C5):8209-8214.
[2]	Mei C C. Nonuniform diffusion of suspended sediment[J]. J Hydraut Div Am Soc Civil Eng,1969,95(HY1):581-584.
[3]	Celik Ismail, Rodi Wolfgang. Modeling sediment transport in nonequlibrium situations[J]. Journal of Hydraulic Engineering,1988,114(10):1157-1191.
[4]	David Wunsch A. Complex Variables With Applications[M]. second edition. Reading, Mass: Addison-Wesley Publishing Company,1994.