ARTICLE
APPLICATION OF THE SBA METHOD TO SOLVE NONLINEAR FRACTIONAL-ORDER BIOLOGICAL POPULATION MODELS
- International Journal of Numerical Methods and Applications , 26 (2) : 355-373
Lien de l'article :
https://doi.org/10.17654/0975045226016
Discipline :
Mathématiques
Auteur(s) :
Abdoul Wassiha NEBIE , Moussa BAGAYOGO, Youssouf MINOUNGOU3,4 and Youssouf PARE
Auteur(s) tagués :
PARE Yousssouf
BAGAYOGO Moussa
Renseignée par : NEBIE Abdoul Wassiha
Résumé
In this paper, we study a fractional-order biological population model
using the SOME Blaise Abbo (SBA) method. The PDEs of this model
can be parabolic, diffusive, convective and reactive. The SBA method
is a numerical method based on the Adomian method (ADM), the
Picard principle and the method of successive approximations. It
avoids the need to calculate Adomian polynomials. The analytical
solutions obtained show that the SBA method leads to more accurate
(exact) results.
Mots-clés
Application of the SBA method to solve nonlinear fractional-order biological population models