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.

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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)
Creators:
Creators
Email
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
Item ID: 40120
Uncontrolled Keywords: Adams-Bashforth Method ; Runge-Kutta Method ; Differential Equation
URI: https://ir.uitm.edu.my/id/eprint/40120

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