Inverse Problem in Space Fractional Advection Diffusion Equation

Autores

  • Gisele Moraes Marinho
  • Jader Lugon Júnior
  • Diego Campos Knupp
  • Antônio J. Silva Neto
  • Antônio J. Silva Neto
  • Joao Flávio Vieira Vasconcellos

DOI:

https://doi.org/10.5540/03.2020.007.01.0394

Palavras-chave:

Fractional Diffusion, Inverse Problems, Simultaneous Inversion, GenSA

Resumo

This work studies an inverse problem of determining the fractional order, a diffusion coefficient and the average velocity simultaneously in one-dimensional space fractional advection–diffusion equation. The forward problem is performed by an implicit finite difference scheme. Here, the solution of the inverse problem is performed in R environment using the Generalized Simulated Annealing algorithm (GenSA) package. Numerical experiments show that the algorithm is able to retrieve the parameters with good accuracy.

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Publicado

2020-02-20

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