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 (Unpublished)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
Keyword: Fourth Order Explicit Runge Kutta, Second Order Explicit Adam Bashforth, Froude pendulum, C-language
Subjects: ?? QA75 ??
Department: SCHOOL > School of Science and Technology
Depositing User: SITI AZIZAH BINTI IDRIS -
Date Deposited: 20 Feb 2014 13:24
Last Modified: 12 Oct 2017 07:58
URI: https://eprints.ums.edu.my/id/eprint/8218

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