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

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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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References

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Authors and Affiliations

  1. Department of Computer Science, National University of Science and Technology, Changsha, 410073, P R China

    Yue-shan Xiong

  2. Department of Civil and Structural Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, P R China

    Wai Wing hong Onyx

Authors
  1. Yue-shan Xiong
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  2. Wai Wing hong Onyx
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Xiong, Ys., Onyx, W.W.h. The Analytical Solution for Sediment Reaction and Diffusion Equation with Generalized Initial-Boundary Conditions. Applied Mathematics and Mechanics 22, 404–408 (2001). https://doi.org/10.1023/A:1016341432464

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  • DOI: https://doi.org/10.1023/A:1016341432464

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