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On FTCS Approach for Box Model of Three-Dimension Advection-Diffusion Equation

Author

Listed:
  • Jeffry Kusuma
  • Agustinus Ribal
  • Andi Galsan Mahie

Abstract

This paper describes a numerical solution for mathematical model of the transport equation in a simple rectangular box domain. The model of street tunnel pollution distribution using two-dimension advection and three-dimension diffusion is solved numerically. Because of the nature of the problem, the model is extended to become three-dimension advection and three-dimension diffusion to study the sea-sand mining pollution distribution. This model with various advection and diffusion parameters and the boundaries conditions is also solved numerically using a finite difference (FTCS) method.

Suggested Citation

  • Jeffry Kusuma & Agustinus Ribal & Andi Galsan Mahie, 2018. "On FTCS Approach for Box Model of Three-Dimension Advection-Diffusion Equation," International Journal of Differential Equations, Hindawi, vol. 2018, pages 1-9, November.
    • Handle: RePEc:hin:jnijde:7597861
    DOI: 10.1155/2018/7597861
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    Cited by:

    1. Neitzel, Leonie & Gehrig, Edeltraud, 2022. "Influence of advection in box models describing thermohaline circulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 101-112.

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