A construction of nonstandard finite difference scheme to fractional differential system

Authors

  • Lislaine Cristina Cardoso UEMS
  • Fernando Luiz Pio dos Santos UNESP - Universidade Estadual Paulista "Júlio de Mesquita Filho"
  • Rubens de Figueiredo Camargo UNESP - Universidade Estadual Paulista “Júlio de Mesquita Filho”

Keywords:

Fractional calculus, Numerical methods, Fractional differential system.

Abstract

In this paper on the nonstandard finite difference technique is proposed to study numerically a fractional differential system. The Grünwald–Letnikov method is used to approximate the fractional derivatives. The model is given by fractional Caputo operator. The numerical results show that numerical solutions are in agree with analytical studies.

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Published

2022-09-28

How to Cite

CARDOSO, L. C.; SANTOS, F. L. P. dos; CAMARGO, R. de F. A construction of nonstandard finite difference scheme to fractional differential system. C.Q.D. - Revista Eletrônica Paulista de Matemática, Bauru, v. 22, n. 2, 2022. Disponível em: https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/332. Acesso em: 22 nov. 2024.

Issue

v.22, n.2 - Edição Brazilian Symposium on Fractional Calculus – Set/2022

Section

Artigos de Pesquisa

License

Copyright (c) 2022 C.Q.D. - Revista Eletrônica Paulista de Matemática

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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