Runge-kutta version for solving first order ordinary differential equation / Nurul Ain Nasuha Mohamad Ruslan

Mohamad Ruslan, Nurul Ain Nasuha (2018) Runge-kutta version for solving first order ordinary differential equation / Nurul Ain Nasuha Mohamad Ruslan. Degree thesis, Universiti Teknologi MARA.

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Abstract

Most problems in engineering and science field can be in the form of ordinary differential equations. In addition, the solution of ordinary differential equations problem can be solved either in theoretical and numerical methods. The theoretical method is known to have their difficulty in solving ordinary differential equations problem whereas this method requires a substantial amount of laborious work and it is complicated. Therefore, a numerical method is preferable to be used such as Runge- Kutta methods. Runge-Kutta is widely used by many researchers for solving the ordinary differential equation in initial value problem. Some methods to be used to solve ordinary differential equation are Second Order Runge-Kutta method (RK2), Third Order Runge-Kutta method (RK3), Fourth Order Runge-Kutta method (RK4), Runge-Kutta Fehlberg method (RKF) and Fifth Order Runge-Kutta method (RK5). The purpose of this research is to identify which method is most efficient based on its errors and computation time. The results of the numerical solution are compared with a theoretical solution. The result shows that RK2 has the less computation time but less accuracy while RK5 has the highest computation time but high accuracy.

Metadata

Item Type: Thesis (Degree)
Creators:
Creators
Email
Mohamad Ruslan, Nurul Ain Nasuha
2015441932
Contributors:
Contribution
Name
Email / ID Num.
Thesis advisor
Mohd Ali, Mohd Rivaie
UNSPECIFIED
Subjects: Q Science > QA Mathematics > Mathematical statistics. Probabilities
Q Science > QA Mathematics > Analysis > Differential equations. Runge-Kutta formulas
Q Science > QA Mathematics > Analysis > Analytical methods used in the solution of physical problems
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
Item ID: 41319
Uncontrolled Keywords: Ordinary Differential Equations ; Numerical Methods ; Theoretical Method ; Runge- Kutta Methods ; Runge-Kutta Fehlberg Method
URI: https://ir.uitm.edu.my/id/eprint/41319

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