A Hybrid Method with RDTM for Solving the Biological Population Model

Abstract

In this paper, we establish an analytical solution to the non-linear biological population model using a hybrid method that combines a reduced differential transform method with a resummation method based on Yang transform and a Padé approximant. The proposed method significantly improves the approximate solution series and broadens the convergence field, It is also dependent on a few straightforward steps, and does not depend on a perturbation parameter or produce secular terms. Three examples are given to test the effectiveness, accuracy, and performance of the suggested method. The results and graph demonstrate that the suggested method is successful and more accurate than other methods. In addition, PYRDTM is a useful tool with great potential for solving nonlinear BPM.

Keywords: Biological population model, Yang transform, RDTM, Padé approximation, accuracy.

DOI: 10.7176/MTM/12-2-01

Publication date:September 30^th 2022