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THE ANALYTICAL SOLUTION FOR SEDIMENT REACTION AND DIFFUSION EQUATION WITH GENERALIZED INITIAL-BOUNDARY CONDITIONS
引用本文:熊岳山,韦永康. THE ANALYTICAL SOLUTION FOR SEDIMENT REACTION AND DIFFUSION EQUATION WITH GENERALIZED INITIAL-BOUNDARY CONDITIONS[J]. 应用数学和力学(英文版), 2001, 22(4): 404-408. DOI: 10.1007/BF02438306
作者姓名:熊岳山  韦永康
作者单位: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,Kow
基金项目:theNationalNaturalScienceFoundationofChina (6993 3 0 3 0 )
摘    要:1 TheGeneralizedInitialandBoundaryProblemforSedimentTransportIntheresearchofnonequilibriumsedimenttransportwithreactionanddiffusionconditions,weneedtoconsiderthefollowingequation c t=w c z k 2 c z2 rc,(1 )andtheinitialvalueaswellasthegeneralizedboundarycondit…

收稿时间:1999-06-14

The Analytical Solution for Sediment Reaction and Diffusion Equation with Generalized Initial-Boundary Conditions
Yue-shan Xiong,Wai Wing hong Onyx. The Analytical Solution for Sediment Reaction and Diffusion Equation with Generalized Initial-Boundary Conditions[J]. Applied Mathematics and Mechanics(English Edition), 2001, 22(4): 404-408. DOI: 10.1007/BF02438306
Authors:Yue-shan Xiong  Wai Wing hong Onyx
Affiliation: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
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.
Keywords:sediment  reaction  diffusion  analytical solution
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