Year: 2024
Type: article
Abstract: In this study, perturbation method is applied to obtain the solution of dynamical system which does not involve periodic solution. Perturbation method, being a semi analytical method, presents results in series approximation form, thus, the degree of accuracies with retention of different number of terms are studied. Nonlinearities of various forms are considered, with the level of agreements of their solutions presented in tabular form to facilitate ease of comparison. In all the problems selected from the literature, numerical results obtained revealed that retention of one or two terms in the solution suffices for a reasonable level of accuracy for dynamical system.
Source: Ilorin Journal of Science
Author: B. M. Yisa
Institution: University of Ilorin
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4404637802