Solving Delay Differential Equations Using Explicit Runge-Kutta Method

Aung, San Lwin (2004) Solving Delay Differential Equations Using Explicit Runge-Kutta Method. Masters thesis, Universiti Putra Malaysia.

[img] PDF
88Kb

Abstract

Introduction to delay differential equations (DDEs) and their examples are presented. The General formulation of Explicit Runge-Kutta method when adapted to delay differential equations is described. Delay Differential Equations are solved by embedded Explicit Runge-Kutta method, which is more attractive from the practical point of view. Embedding technique is used to solve DDEs not just with single delay, but with multiple delays. The technique is also used to get the local truncation error which provides a basis for choosing the next stepsize for the integration. The delay terms are approximated using three techniques of interpolation, which are the divided difference interpolation, Hermite interpolation, and continuous extensions formula of the Runge-Kutta method itself. Numerical results of tested problems based on these interpolations are presented and compared. Finally, the stability properties of Explicit Runge-Kutta method when applied to DDEs using Lagrange interpolation, Hermite interpolation and continuous extensions Runge-Kutta formula are investigated and their stability regions are illustrated

Item Type:Thesis (Masters)
Subject:Delay differential equations - Numerical solutions
Subject:Runge-Kutta formulas
Chairman Supervisor:Associate Professor Fudziah Ismail, PhD
Call Number:FSAS 2004 37
Faculty or Institute:Faculty of Environmental Studies
ID Code:385
Deposited By:INVALID USER
Deposited On:09 Oct 2008 18:54
Last Modified:27 May 2013 06:47

Repository Staff Only: item control page

Document Download Statistics

This item has been downloaded for since 09 Oct 2008 18:54.

View statistics for "Solving Delay Differential Equations Using Explicit Runge-Kutta Method"


Universiti Putra Malaysia Institutional Repository

Universiti Putra Malaysia Institutional Repository is an on-line digital archive that serves as a central collection and storage of scientific information and research at the Universiti Putra Malaysia.

Currently, the collections deposited in the IR consists of Master and PhD theses, Master and PhD Project Report, Journal Articles, Journal Bulletins, Conference Papers, UPM News, Newspaper Cuttings, Patents and Inaugural Lectures.

As the policy of the university does not permit users to view thesis in full text, access is only given to the first 24 pages only.