Fuzzy numerical solution to the Malthusian model via Jγ-interactive arithmetic

Autores/as

  • Vinícius Wasques
  • Estevão Esmi
  • Cristina Sacilotto
  • Laécio C. Barros

DOI:

https://doi.org/10.5540/03.2023.010.01.0057

Palabras clave:

Fuzzy initial value problem, Generalized Hukuhara derivative, Euler’s method, Malthus model, Fuzzy Interactivity

Resumen

This work provides a numerical solution to the Malthusian model, considering the initial condition as a fuzzy value. The numerical solution is provided from Euler’s method, in which the operations built into the method are adapted to fuzzy numbers. This numerical solution is compatible with the analytical solution obtained from the generalized Hukuhara derivative. An example is presented to illustrate the methodology.

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Biografía del autor/a

Vinícius Wasques

Ilum School of Science, Brazilian Center for Research in Energy and Materials

Estevão Esmi

Institute of Mathematics, Statistics and Scientific Computing, University of Campinas

Cristina Sacilotto

Institute of Mathematics, Statistics and Scientific Computing, University of Campinas

Laécio C. Barros

Institute of Mathematics, Statistics and Scientific Computing, University of Campinas

Citas

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V. F. Wasques et al. “Numerical Solutions for Bidimensional Initial Value Problem with Interactive Fuzzy Numbers”. In: Fuzzy Information Processing. Springer International Publishing, 2018, pp. 84–95.

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Publicado

2023-12-18

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