Semi-numerical method for the solution of system of ordinary differential equation

Abdul Said, Zahimah Athirah and Abd Latif, Noor Azliza (2024) Semi-numerical method for the solution of system of ordinary differential equation. In: Enhanced Knowledge in Sciences and Technology.

Text P17032_9e96e72f311710ddd8b0252081872d14.pdf 1.pdf Download (741kB)

Abstract

In this study, systems of ordinary differential equations (ODEs) with initial conditions have been solved using differential transform method (DTM). Maple 2023 was employed to obtain approximate solutions, highlighting DTM's efficiency in reducing computational efforts and saving time. Comparative analyses with Adomian decomposition method (ADM) and fourth-order Runge-Kutta method (RK4) were conducted to evaluate DTM's accuracy. The results suggest that DTM's efficacy depends on equation characteristics and the number of terms used. A limited number of DTM terms are recommended for satisfactory approximations. DTM successfully solved one example, underscoring its simplicity and efficiency in handling differential problems with minimal computational workload

Item Type:	Conference or Workshop Item (Paper)
Uncontrolled Keywords:	Differential Transform Method, System of Ordinary Differential Equation
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Applied Science and Technology > FAST
Depositing User:	Mrs. Sabarina Che Mat
Date Deposited:	18 Apr 2025 03:48
Last Modified:	18 Apr 2025 03:49
URI:	http://eprints.uthm.edu.my/id/eprint/12208

Actions (login required)

View Item