A research paper has been published by:<\/p>\n
Asst. Prof. Dr. Ahmed Intisar Ghathith<\/p>\n
Lecturer Dr. Al-Mu’tasim Abdul-Muhsin Hamid<\/p>\n
Prof. Dr. Ahmed Farouk Qasim<\/p>\n
Titled:<\/p>\n
“Improving Solutions for the Nonlinear Fractional Belousov\u2013Zhabotinsky System Using Particle Swarm Optimization Algorithms Based on He\u2019s Polynomials”<\/p>\n
Journal: *Mathematical Methods in the Applied Sciences*<\/p>\n
Publication Date: September 27, 2026<\/p>\n
DOI Link: https:\/\/doi.org\/10.1002\/mma.70949<\/p>\n
Indexed in Scopus (Q1) and Clarivate (Q1)<\/p>\n
Abstract:<\/p>\n
Polynomials are employed to solve a wide range of nonlinear and fractional equations and systems representing diverse natural phenomena, including chemical systems that exhibit periodic and nonlinear behavior\u2014such as the nonlinear fractional Belousov\u2013Zhabotinsky system. These polynomials generate a series of mathematical terms that help characterize the system’s behavior and highlight its nonlinear properties. In this study, He\u2019s polynomials were utilized to derive a series representing the system’s periodic and nonlinear behavior under various initial conditions.<\/p>\n
To enhance the accuracy of the analysis regarding the chemical system’s behavior, the Particle Swarm Optimization (PSO) algorithm was employed to determine the impact of system parameters during the solution process. The algorithm demonstrated exceptional precision in parameter selection, thereby facilitating the analysis of periodic stability and the distinct transitions in the system’s behavior. The obtained results also demonstrated good agreement and close correspondence with analytical solutions, thereby supporting the efficiency of the employed method in representing the dynamic behavior of the chemical system under study.<\/p>\n","protected":false},"excerpt":{"rendered":"
A research paper has been published by: Asst. Prof. Dr. Ahmed Intisar Ghathith Lecturer Dr. Al-Mu’tasim Abdul-Muhsin Hamid Prof. Dr. Ahmed Farouk Qasim Titled: “Improving Solutions for the Nonlinear Fractional Belousov\u2013Zhabotinsky System Using Particle Swarm Optimization Algorithms Based on He\u2019s Polynomials” Journal: *Mathematical Methods in the Applied Sciences* Publication Date: September 27, 2026 DOI Link: https:\/\/doi.org\/10.1002\/mma.70949 Indexed in Scopus (Q1) and Clarivate (Q1) Abstract: Polynomials are employed to solve a wide range of nonlinear and fractional equations and systems representing diverse natural phenomena, including chemical systems that exhibit periodic and nonlinear behavior\u2014such as the nonlinear fractional Belousov\u2013Zhabotinsky system. These polynomials generate [Read More]<\/a><\/p>\n","protected":false},"author":24,"featured_media":43503,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-43502","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news"],"_links":{"self":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/43502","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/users\/24"}],"replies":[{"embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/comments?post=43502"}],"version-history":[{"count":1,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/43502\/revisions"}],"predecessor-version":[{"id":43504,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/43502\/revisions\/43504"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/media\/43503"}],"wp:attachment":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/media?parent=43502"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/categories?post=43502"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/tags?post=43502"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}