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A computational approach with residual error analysis for the fractional-order biological population model

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Date

2021

Author

Gökmen, Elçin

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Citation

Elçin Gökmen (2021) A computational approach with residual error analysis for the fractional-order biological population model, Journal of Taibah University for Science, 15:1, 218-225, DOI: 10.1080/16583655.2021.1952750

Abstract

In this study, a fractional Bernstein series solution method has been submitted to solve the fractional-order biological population model with one carrying capacity. The numerical method has been implemented by an effective algorithm written on the computer algebraic system Maple 15. An error-bound analysis is performed by using a process similar to the RK45 method. An error estimation technique relating to residual function is presented. In the numerical application, the variations in the population of prey and predator with respect to time and situations of these two species relative to each other are plotted. The outputs obtained from our method are compared with the homotopy perturbation Sumudu transform method and reproducing kernel Hilbert space method. The approximate solutions gained from the Bernstein series method are consistent with those of other methods. The advantage of our method is that it requires less computational cost compared with methods involving more complex operations.

Source

Journal of Taibah University for Science

Volume

15

Issue

1

URI

https://doi.org/10.1080/16583655.2021.1952750
https://hdl.handle.net/20.500.12809/9428

Collections

  • Matematik Bölümü Koleksiyonu [107]
  • Scopus İndeksli Yayınlar Koleksiyonu [6219]
  • WoS İndeksli Yayınlar Koleksiyonu [6466]



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