Open AccessA Reliable Iterative Transform Method for Solving an Epidemic Model
Author(s) -
Reem Waleed Huisen,
Sinan H. Abd Almjeed,
Areej Salah Mohammed
Publication year - 2021
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2021.62.12.22
Subject(s) - laplace transform , remainder , epidemic model , iterative method , mathematics , nonlinear system , mathematical optimization , approximation error , computer science , algorithm , mathematical analysis , arithmetic , population , physics , demography , quantum mechanics , sociology
The main purpose of the work is to apply a new method, so-called LTAM, which couples the Tamimi and Ansari iterative method (TAM) with the Laplace transform (LT). This method involves solving a problem of non-fatal disease spread in a society that is assumed to have a fixed size during the epidemic period. We apply the method to give an approximate analytic solution to the nonlinear system of the intended model. Moreover, the absolute error resulting from the numerical solutions and the ten iterations of LTAM approximations of the epidemic model, along with the maximum error remainder, were calculated by using MATHEMATICA® 11.3 program to illustrate the effectiveness of the method.