Solving delay differential equations by Runge-Kutta method using different types of interpolation

Alkhasawneh, Rae'd Ali Ahmed (2001) Solving delay differential equations by Runge-Kutta method using different types of interpolation. Masters thesis, Universiti Putra Malaysia.

[img] PDF
1107Kb

Abstract

Introduction to delay differential equations (DDEs) and the areas where they arise are given. Analysis of specific numerical methods for solving delay differential equation is considered. A brief discussion on Runge-Kutta method when adapted to delay differential equation is introduced. Embedded Singly Diagonally Implicit Runge-Kutta (SDIRK) method of third order four-stage in fourth order five-stage which is more attractive from the practical point of view is used to solve delay differential equations. The delay term is approximated using three types of interpolation that is the divided difference interpolation, Hermite interpolation and In't Hout interpolation. Numerical results based on these three interpolations are tabulated and compared. Finally, the stability properties of SDIRK method when applied to DDEs using Lagrange interpolation and In't Hout interpolation are investigated and their regions of stability are presented.

Item Type:Thesis (Masters)
Subject:Delay differential equations - Numerical solutions
Subject:Runge-Kutta formulas
Subject:Interpolation
Chairman Supervisor:Fudziah bt Ismail, PhD
Call Number:FSAS 2001 17
Faculty or Institute:Faculty of Science and Environmental Studies
ID Code:9237
Deposited By: Tuan Norasiah Tuan Yaacob
Deposited On:17 Jan 2011 04:06
Last Modified:27 Sep 2013 07:30

Repository Staff Only: Edit item detail

Document Download Statistics

This item has been downloaded for since 17 Jan 2011 04:06.

View statistics for "Solving delay differential equations by Runge-Kutta method using different types of interpolation"


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.