On the multistage differential transformation method for analyzing damping Duffing oscillator and its applications to plasma physics

NH Aljahdaly, SA El-Tantawy - Mathematics, 2021 - mdpi.com
The multistage differential transformation method (MSDTM) is used to find an approximate
solution to the forced damping Duffing equation (FDDE). In this paper, we prove that the …

A new multistage spectral relaxation method for solving chaotic initial value systems

SS Motsa, P Dlamini, M Khumalo - Nonlinear Dynamics, 2013 - Springer
In this paper, we present a new pseudospectral method application for solving nonlinear
initial value problems (IVPs) with chaotic properties. The proposed method, called the …

Solving hyperchaotic systems using the spectral relaxation method

SS Motsa, PG Dlamini… - Abstract and Applied …, 2012 - Wiley Online Library
A new multistage numerical method based on blending a Gauss‐Siedel relaxation method
and Chebyshev pseudospectral method, for solving complex dynamical systems exhibiting …

Estimate of accuracy of approximate solutions of non-linear boundary value problems by the multi-step differential transform method

V Gusynin, A Gusynin, H Tachinina - Proceedings of the National …, 2017 - irbis-nbuv.gov.ua
Purpose: The present paper is aimed at estimating of accuracy and justification the
application effectiveness of the multi-step differential transform method for solving non-linear …

[HTML][HTML] On the multi-domain compact finite difference relaxation method for high dimensional chaos: The nine-dimensional Lorenz system

JN Kouagou, PG Dlamini, SM Simelane - Alexandria Engineering Journal, 2020 - Elsevier
In this paper, we implement the multidomain compact finite difference method to numerically
study high dimensional chaos by considering the nine-dimensional Lorenz system. Most of …

A new multistage technique for approximate analytical solution of nonlinear differential equations

SO Akindeinde - Heliyon, 2020 - cell.com
The article introduces a new multistage technique for solving a polynomial system of
nonlinear initial and boundary value problems of differential equations. The radius of …

[HTML][HTML] Dynamical Analysis of Corona-virus (COVID− 19) Epidemic Model by Differential Transform Method

AJ Christopher, N Magesh, GT Preethi - 2020 - europepmc.org
The aim of this paper is applying the Differential Transformation Method (DTM) to analyze
and find the solution for the mathematical model described by the system of nonlinear …

An efficient spectral method-based algorithm for solving a‎ high-dimensional chaotic Lorenz system

P Dlamini, S Simelane - Journal of Applied and Computational …, 2021 - jacm.scu.ac.ir
In this paper, we implement the multidomain spectral relaxation method to numerically study
high dimensional chaos by considering the nine-dimensional Lorenz system. Chaotic …

Compact finite difference relaxation method for chaotic and hyperchaotic initial value systems

D Mathale, PG Dlamini, M Khumalo - Computational and Applied …, 2018 - Springer
In this paper, we present a new application of higher order compact finite differences to
solve nonlinear initial value problems exhibiting chaotic behaviour. The method involves …

[PDF][PDF] Certain efficient techniques to solve the unreported cases of 2019− nCoV epidemic model

AJ Christopher, A Prakash, N Magesh… - Ital. J. Pure Appl …, 2023 - ijpam.uniud.it
One of the furthermost intimidations that the death faced after the second World War is 2019-
nCoV epidemic and most crucial large-scale health disaster of this century. We devote the …