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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (4): 404-408.

• 论文 • 上一篇    下一篇

THE ANALYTICAL SOLUTION FOR SEDIMENT REACTION AND DIFFUSION EQUATION WITH GENERALIZED INITIAL-BOUNDARY CONDITIONS

熊岳山1, 韦永康2   

  1. 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
  • 收稿日期:1999-06-14 修回日期:2000-07-11 出版日期:2001-04-18 发布日期:2001-04-18
  • 基金资助:
    the National Natural Science Foundation of China(69933030)

THE ANALYTICAL SOLUTION FOR SEDIMENT REACTION AND DIFFUSION EQUATION WITH GENERALIZED INITIAL-BOUNDARY CONDITIONS

XIONG Yue-shan1, Onyx Wai Wing hong2   

  1. 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:1999-06-14 Revised:2000-07-11 Online:2001-04-18 Published:2001-04-18
  • Supported by:
    the National Natural Science Foundation of China(69933030)

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摘要： 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.

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.

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