Project ID: 238
NUR ALIFAH ILYANA BINTI RASIDI - CS247
2017669338
Supervisor: MOHD RIVAIE BIN MOHD ALI (DR)
Examiner:
EMBEDDED NUMERICAL METHOD FOR EARLY STEPS OF SOLVING FIRST ORDER ORDINARY ADAMS-MOULTON METHOD IN DIFFERENTIAL EQUATION
Abstract
There are many issues for solving numerical problems of continuous mathematics especially in engineering and science field. This field basically involved finding the solution of an ordinary differential equations which is can be obtained by theoretical method or approximately using numerical method. Since theoretical method tends to be complicated and has a longer calculation, this method is rarely being used. Adams Moulton method is a numerical method to approximate the solution of differential equation. This method is known as multistep method that requires the use of other numerical methods at the first few steps depending on its step. In this study, Adams Moulton method in the form of Two-Step, Three-Step and Four-Step together with Fourth Order Runge-Kutta method are used to estimate the solution of first order ordinary differential equations. The purpose of this study is to compare the efficiency between different version of Adams Moulton multistep method in terms of central processing unit (CPU) time and error analysis.