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

Authors

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

DOI:

https://doi.org/10.5540/03.2023.010.01.0057

Keywords:

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

Abstract

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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Author Biographies

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

References

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Published

2023-12-18

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Section

Trabalhos Completos