Insight into 2-step continuous block method for solving mixture model and SIR model
by M.K. Duromola; A.L. Momoh; M.A. Rufai; I.L. Animasaun
International Journal of Computing Science and Mathematics (IJCSM), Vol. 14, No. 4, 2021

Abstract: Understanding of the solutions of first-order ordinary differential equations (ODEs), mixture model and SIR model in order to develop deep insight and exploration are major problems before the experts, biologists, scientists, and mathematicians. In all these problems, the governing equations are either single first-order or coupled ODEs kind of initial value problem (IVP). In this paper, a polynomial function q(x) that passes through the points (x_n, y_n), (x_n+1, y_n+1), . . . , (x_n+2, y_n+2) was adopted as the basis function that leads to third derivatives continuous 2-step block method suitable to solve first order initial value problems of ODEs. Upon using the newly proposed scheme to solve linear ODEs (i.e., mixture theory) and nonlinear ODE (i.e., SIR model), it is worth concluding that the algorithm is not only efficient but minimises error.

Online publication date: Thu, 03-Feb-2022

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