Open AccessA EFFICIENT ANALYTICAL APPROACH FOR NONLINEAR SYSTEM OF ADVANCED LORENZ MODEL
Author(s) -
Aminu Barde,
Normah Maan
Publication year - 2020
Publication title -
science proceedings series
Language(s) - English
Resource type - Journals
eISSN - 2663-9467
pISSN - 2663-9459
DOI - 10.31580/sps.v2i2.1274
Subject(s) - nonlinear system , lorenz system , mathematics , series (stratigraphy) , polynomial , residual , homotopy analysis method , homotopy , computer science , mathematical optimization , algorithm , mathematical analysis , paleontology , physics , quantum mechanics , attractor , pure mathematics , biology
This work proposed a new analytical approach for solving a famous model from mathematical physics, namely, advanced Lorenz system. The method combines the Natural transform and Homotopy analysis method, and it’s have been suggested for the solution of different types of nonlinear systems of delay differential equations. This technique gives solution in a series form where the He’s polynomial is adjusted for the series calculation of nonlinear terms of Lorenz system. By choosing an optimal value of auxiliary parameters the more precise approximate Solution of this model is obtained from only three iterations number of terms. Some figures are used to demonstrate the accuracy of the result based on the residual error function. Therefore, the approach gives rise to an easy and straightforward means of solving these models analytically. Hence, it can be used in finding solutions to other forms of nonlinear problems.