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On Fuzzy Solutions for Diffusion Equation

Author

Listed:
  • Jefferson Leite
  • Moiseis Cecconello
  • Jackellyne Leite
  • R. C. Bassanezi

Abstract

Our main goal is to define a fuzzy solution for problems involving diffusion. To this end, the solution of fuzzy diffusion‐reaction‐advection equation will be defined as Zadeh’s extension of deterministic solution of the associated problem. Important aspects such as unity and stability of these solutions will also be studied. Graphical representations of these solutions will be presented.

Suggested Citation

  • Jefferson Leite & Moiseis Cecconello & Jackellyne Leite & R. C. Bassanezi, 2015. "On Fuzzy Solutions for Diffusion Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnljam:v:2015:y:2015:i:1:n:874931
    DOI: 10.1155/2015/874931
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    File URL: https://doi.org/10.1155/2015/874931
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    References listed on IDEAS

    as
    1. Moiseis S. Cecconello & Jefferson Leite & Rodney C. Bassanezi & Joao de Deus M. Silva, 2013. "About Projections of Solutions for Fuzzy Differential Equations," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-9, June.
    2. Joao de Deus M. Silva & Jefferson Leite & Rodney C. Bassanezi & Moiseis S. Cecconello, 2013. "Stationary Points—I: One‐Dimensional p‐Fuzzy Dynamical Systems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    3. Joao de Deus M. Silva & Jefferson Leite & Rodney C. Bassanezi & Moiseis S. Cecconello, 2013. "Stationary Points—I: One-Dimensional p-Fuzzy Dynamical Systems," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-11, September.
    4. Moiseis S. Cecconello & Jefferson Leite & Rodney C. Bassanezi & Joao de Deus M. Silva, 2013. "About Projections of Solutions for Fuzzy Differential Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
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