Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri

Mohamad Taufik, Nur Ardini and Syed Basri, Sharifah Hazirah (2019) Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri. Degree thesis, Universiti Teknologi MARA.

Abstract

Runge - Kutta method can be used to solve differential equation problem in the form of numerical method. Researchers have come out with many versions of Runge — Kutta method to increase its accuracy and efficiency. In this study, higher order Runge - Kutta method of RK 6 (Butcher - 1, Butcher - 2, Butcher - 3 and Luther), RK 7 and RK 8 are used to solve different ordinary differential equation problems with different step size. The numerical results are compared with theoretical solution in order to obtain accuracy and to determine the best method.

Metadata

Item Type:	Thesis (Degree)
Creators:	Creators Email / ID Num. Mohamad Taufik, Nur Ardini 2016299106 Syed Basri, Sharifah Hazirah 2016284382
Contributors:	Contribution Name Email / ID Num. Thesis advisor Mohd Ali, Mohd Rivaie UNSPECIFIED
Subjects:	Q Science > QA Mathematics > Analysis > Differential equations. Runge-Kutta formulas Q Science > QA Mathematics > Analysis > Difference equations. Functional equations. Delay differential equations. Integral equations Q Science > QC Physics > Mathematical physics > Finite element method
Divisions:	Universiti Teknologi MARA, Terengganu > Kuala Terengganu Campus > Faculty of Computer and Mathematical Sciences
Programme:	Bachelor of Science (Hons) Computational Mathematics
Keywords:	Runge - Kutta method ; Accuracy And Efficiency ; Numerical Method
Date:	July 2019
URI:	https://ir.uitm.edu.my/id/eprint/39274