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Scale and time effects on mathematical models for transport in the environment

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Abstract

The purpose of this paper is to analyse mathematical models used in environmental modelling. Following a brief survey of the development in modelling scale-and time-dependent dispersion processes in the environment, this paper compares three similarity solutions, one of which is a solution of the generalized Feller equation (GF) with fractal parameters, and the other two for the newly-developed generalized Fokker-Planck equation (GFP). The three solutions are derived with parameters having physical significance. Data from field experiments are used to verify the solutions. The analyses indicate that the solutions of both GF and GFP represent the physically meaningful natural processes, and simulate the realistic shapes of tracer breakthrough curves.

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Authors and Affiliations

  1. School of Mathematics and Computational Science, Xiangtan University, Hunan, 411105, China

    Su Ninghu

  2. School of Earth and Environmental Sciences, James Cook University, Cairns, Queensland, 4870, Australia

    Su Ninghu

  3. Department of Natural Resources and Water, Mareeba, Queensland, 4880, Australia

    Su Ninghu

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  1. Su Ninghu
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Supported by the NNSF of China (30570426), Fok Ying Tung Education Foundation (101004) and the Youth Foundation of Educational Department of Hunan Province in China (05B007).

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Su, N. Scale and time effects on mathematical models for transport in the environment. Appl. Math. Chin. Univ. 22, 267–276 (2007). https://doi.org/10.1007/s11766-007-0303-5

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  • DOI: https://doi.org/10.1007/s11766-007-0303-5

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