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Solving ordinary differential equations (ODES) and delay differential equations (DDES) using Nakashima’s 2 stages 4Th order Pseudo-Runge-Kutta method

Sabri, Nur Ain Ayunni (2010) Solving ordinary differential equations (ODES) and delay differential equations (DDES) using Nakashima’s 2 stages 4Th order Pseudo-Runge-Kutta method. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.

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Abstract

The aim of this research is to investigate numerically the problem on solving Delay Differential Equations (DDEs) using Nakashima’s 2 Stages 4th Order Pseudo-Runge-Kutta Method. This research also discussed the problem on solving Ordinary Differential Equations (ODEs) using the same method. In this research, we also developed the algorithm of Nakashima’s 2 Stages 4th Order Pseudo-Runge-Kutta Method and the algorithm of Nakashima’s 2 Stages 4th Order Pseudo-Runge-Kutta Method incorporated with Hermite Interpolation. Finally, we apply this method to a real life problem and we choose Food-Limited Model. In this research, we use Mathematica 7 software and Microsoft Excel to conduct the calculation.

Item Type:Thesis (Masters)
Additional Information:Thesis (Sarjana Sains (Matematik)) - Universiti Teknologi Malaysia, 2010; Supervisor : Assoc. Prof. Nazeeruddin Yaacob
Uncontrolled Keywords:Pseudo-Runge-Kutta method, DDEs
Subjects:Q Science > Q Science (General)
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:Science
ID Code:21290
Deposited By: Ramli Haron
Deposited On:25 Jan 2012 00:38
Last Modified:25 Jan 2012 00:38

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