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.
Metadata
Item Type: | Thesis (Degree) |
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Creators: | Creators Email / ID Num. Ramlan, Nur Zahirah 2016307227 Awang, Velary Baun 2016314947 |
Contributors: | Contribution Name Email / ID Num. Thesis advisor Mohd Ali, Mohd Rivaie UNSPECIFIED |
Subjects: | Q Science > QA Mathematics > Equations Q Science > QA Mathematics > Mathematical statistics. Probabilities Q Science > QA Mathematics > Analysis > Differential equations. Runge-Kutta formulas Q Science > QA Mathematics > Analysis > Analytical methods used in the solution of physical problems |
Divisions: | Universiti Teknologi MARA, Terengganu > Kuala Terengganu Campus > Faculty of Computer and Mathematical Sciences |
Programme: | Bachelor of Science (Hons) Computational Mathematics |
Keywords: | Adams-Bashforth Method ; Runge-Kutta Method ; Differential Equation |
Date: | 2019 |
URI: | https://ir.uitm.edu.my/id/eprint/40120 |
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