Solving first order ordinary differential equation using explicit multistep Adams-Bashforth method / Nur Zahirah Ramlan and Velary Baun anak Awang

Ramlan, Nur Zahirah and Awang, Velary Baun (2019) Solving first order ordinary differential equation using explicit multistep Adams-Bashforth method / Nur Zahirah Ramlan and Velary Baun anak Awang. Degree thesis, Universiti Teknologi MARA.

Abstract

Most problems in engineering and science field involved finding the solution of an ordinary differential equations. This solution can be obtained exactly by theoretical method or approximately using numerical method. Theoretical method is known to be complicated and required laborious amount of work. Adams-Bashforth method is a numerical method to approximate the solution of differential equation. This method is also known as a multistep method that requires the use of other numerical methods at the first few steps depending on its step. In this research, Adams-Bashforth method in the form of Two-Step, Three-Step, Four-Step, and Five-Step together with Fourth Order Runge-Kutta method are used to estimate the solution of first-order ordinary differential equations. The aim of this research is to compare the efficiency between different version of Adams-Bashforth multistep method in terms of central processing unit (CPU) time and error analysis.