Solving ordinary differential equations (ODES) and delay differential equations (DDES) using Nakashima’s 2 stages 4Th order Pseudo-Runge-Kutta method
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...
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| Format: | Thesis |
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2010
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| Summary: | 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. |
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