Solution Of Non-Linear Differential Equations Using The Multi-Step Differential Transformation Method:- Onuma, Martins O.
ABSTRACT
In this work. Differential Transformation
method (DTM) and Multi-step Differential Transformation method (MSDTM) are
studied; and are used to obtain solutions oftwo classes of non-linear ordinary
differential equations. One class consist of dynamical systems (which include
Coullet, Genesio, Chen and Lorenz systems) and the other class focuses on the
LaneEmden equation of polytropic indexes 0, 1, 2 and 5. The result obtained
using DTM and MSDTM are compared. The comparison made showed that MSDTM gives a
better rate of convergence and interval of convergence than DTM.
0.0
MARTINS, O (2023). Solution Of Non-Linear Differential Equations Using The Multi-Step Differential Transformation Method:- Onuma, Martins O.. Repository.mouau.edu.ng: Retrieved Nov 23, 2024, from https://repository.mouau.edu.ng/work/view/solution-of-non-linear-differential-equations-using-the-multi-step-differential-transformation-method-onuma-martins-o-7-2
OCHUNKWO, MARTINS. "Solution Of Non-Linear Differential Equations Using The Multi-Step Differential Transformation Method:- Onuma, Martins O." Repository.mouau.edu.ng. Repository.mouau.edu.ng, 04 Dec. 2023, https://repository.mouau.edu.ng/work/view/solution-of-non-linear-differential-equations-using-the-multi-step-differential-transformation-method-onuma-martins-o-7-2. Accessed 23 Nov. 2024.
OCHUNKWO, MARTINS. "Solution Of Non-Linear Differential Equations Using The Multi-Step Differential Transformation Method:- Onuma, Martins O.". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 04 Dec. 2023. Web. 23 Nov. 2024. < https://repository.mouau.edu.ng/work/view/solution-of-non-linear-differential-equations-using-the-multi-step-differential-transformation-method-onuma-martins-o-7-2 >.
OCHUNKWO, MARTINS. "Solution Of Non-Linear Differential Equations Using The Multi-Step Differential Transformation Method:- Onuma, Martins O." Repository.mouau.edu.ng (2023). Accessed 23 Nov. 2024. https://repository.mouau.edu.ng/work/view/solution-of-non-linear-differential-equations-using-the-multi-step-differential-transformation-method-onuma-martins-o-7-2