You are in:Home/Publications/Evolutionary numerical approach for solving nonlinear singular periodic boundary value problems

Dr. Mohamed Reda Ali Mohamed :: Publications:

Title:
Evolutionary numerical approach for solving nonlinear singular periodic boundary value problems
Authors: Mohamed R. Ali; Adel R.Hadhoud;Wen-Xiu Ma,
Year: 2020
Keywords: Singular periodic systems in nuclear physics; Hermite wavelets; hybrid approach; Gaussian formula of integration; collocation technique.
Journal: Journal of Intelligent & Fuzzy Systems
Volume: 39
Issue: 5
Pages: 7723-7731
Publisher: IOS Press
Local/International: International
Paper Link:
Full paper Not Available
Supplementary materials Not Available
Abstract:

In this approximation study, a nonlinear singular periodic model in nuclear physics is solved by using the Hermite wavelets (HW) technique coupled with a numerical iteration technique such as the Newton Raphson (NR) one for solving the resulting nonlinear system. The stimulation of offering this numerical work comes from the aim of introducing a consistent framework that has as effective structures as Hermite wavelets. Two numerical examples of the singular periodic model in nuclear physics have been investigated to observe the robustness, proficiency, and stability of the designed scheme. The proposed outcomes of the HW technique are compared with available numerical solutions that established fitness of the designed procedure through performance evaluated on a multiple execution.

Google ScholarAcdemia.eduResearch GateLinkedinFacebookTwitterGoogle PlusYoutubeWordpressInstagramMendeleyZoteroEvernoteORCIDScopus