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

XIONG Yue-shan; Onyx Wai Wing hong

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(4): 354-358

XIONG Yue-shan, Onyx Wai Wing hong. The Analytical Solution for Sediment Reaction and Diffusion Equation With Generalized Initial-Boundary Conditions[J]. Applied Mathematics and Mechanics, 2001, 22(4): 354-358.

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

XIONG Yue-shan¹,
Onyx Wai Wing hong²

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

Received Date: 1999-06-14
Rev Recd Date: 2000-07-11
Publish Date: 2001-04-15

Abstract

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

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References(4)

References

[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.