HOMOTOPY PERTURBATION METHOD FOR SOLVING A NONLINEAR SYSTEM FOR AN EPIDEMIC

被引：5

作者：

Alshomrani, Nada A. M. ^{[1
]}

Alharbi, Weam G. ^{[1
]}

Alanazi, Ibtisam M. A. ^{[1
]}

Alyasi, Lujain S. M. ^{[1
]}

Alrefaei, Ghadi N. M. ^{[1
]}

Alamri, Seada A. ^{[1
]}

Alanzi, Asmaa H. Q. ^{[1
]}

机构：

[1] Univ Tabuk, Fac Sci, Dept Math, POB 741, Tabuk 71491, Saudi Arabia

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2024年 / 31卷 / 03期

关键词：

ordinary differential equation; homotopy perturbation method; initial value problem; series solution; DELAY-DIFFERENTIAL EQUATION; BOUNDARY-VALUE-PROBLEMS; FLUID; MODEL; FLOW;

D O I：

10.17654/0974324324019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：347 / 355

页数：9

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