COMMAX 2020 UiTM Kampus Kuala Terengganu

ABSTRACT


Nowadays, science and technology are very important in the industry. However, most of the problem can find the solution by an ordinary differential equation. This solution can be obtained exactly by theoretical method or approximately using a numerical method. A theoretical method is known to be complicated and required a laborious amount of work. Adams-Moulton method is a numerical method to approximate the solution of differential equations. This method is also known as a multistep method that requires the use of another numerical method at the first few steps depending on its step. In this research, the Adams-Moulton method in the form of 2-Step, 3-Step, and 4-Step together with the Fourth Order Runge-Kutta method and Adams-Bashforth method are used to estimate the solution of the first-order ordinary differential equation. This research aim is to compare the efficiency between different versions of the Adams-Moulton multistep method in terms of the central processing unit (CPU) time and error analysis.