Fourth-Order Explicit Runge-Kutta and Second-Order Explicit Adam-Bashforth methods for solving nonlinear dynamic system: Froude's pendulum

Lim, Shiaw Huong (2008) Fourth-Order Explicit Runge-Kutta and Second-Order Explicit Adam-Bashforth methods for solving nonlinear dynamic system: Froude's pendulum. Universiti Malaysia Sabah. (Unpublished)

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Abstract

In this dissertation, the Fourth Order Explicit Runge Kutta method (ERK4) and Second Order Explicit Adam Bashforth method (EAB2) are implemented in solving nonlinear dynamic system such as the Froude pendulum. Comparisons between ERK4 method and EAB2 method will be made to clarify the effectiveness of these two methods to achieve accuracy. Different step sizes are also considered in this dissertation. Besides, a C-language based program will be implemented. From the obtained results, Fourth Order Explicit Runge Kutta Method (ERK4) is found to be more accurate than Second Order Explicit Adam Bashforth Method (EAB2).

Item Type: Academic Exercise
Uncontrolled Keywords: Fourth Order Explicit Runge Kutta, Second Order Explicit Adam Bashforth, Froude pendulum, C-language
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: SCHOOL > School of Science and Technology
Depositing User: MDM SITI AZIZAH IDRIS
Date Deposited: 20 Feb 2014 05:24
Last Modified: 11 Oct 2017 23:58
URI: http://eprints.ums.edu.my/id/eprint/8218

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