HOMOTOPY PERTURBATION METHOD FOR SOLVING A NONLINEAR SYSTEM FOR AN EPIDEMIC
Nada A. M. Alshomrani, Weam G. Alharbi, Ibtisam M. Alanazi, Lujain Saud Muaydhid Alyasi, Ghadi N. M. Alrefaei, Seada A. Al’amri, Asmaa H. Q. Alanzi
Abstract
This paper solves the SIR-epidemic model utilizing the homotopy perturbation method (HPM). The HPM is applied in a different way in contrast to the HPM in the literature. The current approach uses a new canonical form for the system of the SIR-epidemic. The analytic solution is obtained and compared with the published one, in addition, to the Runge-Kutta numerical method. The results show better accuracy than the corresponding ones.
Topics & Concepts
Homotopy analysis methodHomotopy perturbation methodNonlinear systemHomotopyMathematicsPerturbation (astronomy)Applied mathematicsCalculus (dental)Computer sciencePure mathematicsPhysicsMedicineDentistryQuantum mechanicsFractional Differential Equations Solutions