Study and comparison of approximate solutions of certain perturbed differential dynamic systems
No Thumbnail Available
Date
2020-02-23
Journal Title
Journal ISSN
Volume Title
Publisher
University Of Eloued جامعة الوادي
Abstract
In recent years, large groups of specialists have tended to study approximate solutions to different
types of problems, due to the difficulty of solving them (or even the impossibility), in particular nonlinear
problems.
In our study, we will be interested in certain disturbed problems resulting from the modeling of different
physical phenomena.
We will study these approximate solutions from several different methods, then compare them to a few
and find the best approximation. We will also try to compare them numerically.
So the questions which arise essentially are on the one hand on the validity of such an approximate
solution (in order to have a realistic representation of the modeled phenomenon), and on the other hand
on the order and the estimation of the error of approximation of the exact solution (to guarantee the best
possible accuracy).
Description
Intervention
Keywords
Perturbations, asymptotic analysis, analytical approximation, integral and fractional derivative, differential equations, stability
Citation
Lejdel Ali, Tefaha. Meftah Safia. Nisse Lamine. Study and comparison of approximate solutions of certain perturbed differential dynamic systems .International PluridisciplinaryPhD Meeting (IPPM’20). 1st Edition, February23-26, 2020. University Of Eloued. [Visited in ../../….]. Available from [copy the link here].