Novel explicit breath wave and numerical solutions of an Atangana conformable fractional Lotka–Volterra model
Mostafa M. A. Khater, Mohamed S. Mohamed, Hammad Alotaibi, M.A. El‐Shorbagy, Suleman H. Alfalqi, Jameel F. Alzaidi, Dianchen Lu
Abstract
This research studies novel analytical solutions of an Atangana conformable fractional Lotka–Volterra (LV) model system arising in ecology by means of three systematic schemes (the extended simplest equation method, modified Kudryashov method, and the sech–tanh expansion method). Then we use the obtained solutions to evaluate the boundary and initial conditions that helps to apply the B-spline collection numerical schemes to evaluate the value of absolute error. The investigation aims also to explain the accuracy of the analytical solutions by evaluating absolute value of errors between exact and numerically obtained solutions. In order to better explain the obtained solutions, some relevant sketches are given in three different types. The novelty of the work done is attempted to explain by comparing our results with some available and relevant results. Further, relevant strengths, usefulness, practical applications, and the methods’ ability for applying in various nonlinear evolution equations have been explored.