HOMOTOPY PERTURBATION METHOD FOR SOLVING A NONLINEAR SYSTEM FOR AN EPIDEMIC
Keywords:
ordinary differential equation, homotopy perturbation method, initial value problem, series solutionDOI:
https://doi.org/10.17654/0974324324019Abstract
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.
Received: December 8, 2023
Accepted: March 2, 2024
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