Error estimation for Differential Transform Method (DTM)solution of non-linear SIQRM biological model

Abstract

Solving a non-linear differential equation most times is difficult and requires some technicalities. Many semi-analytical methods were derived in literature to provide series solution to non-linear problem, with each method giving some level of accuracy when compared with their equivalent exact solution (or numerical solution in case exact does not exist). Thus, system of ordinary differential equations (ODEs) arising from a formulated Susceptible-Infected-Quarantine-Recovered-Immunity (SIQRM) mathematical model of a disease dynamics were solved using DTM and Pade approximation; and their results numerically compared with Runge-Kutta order 4 (RK4). The table of result shows that DTM is reliable to tackle non-linear DE while Pade approximant improves its (DTM) accuracy.