Solving second order ordinary differential equation using Runge-Kutta method / Khalidatunnur Fadhilah Abdul Kadir and Nurul Ilyana Abdul Ghafar

Abdul Kadir, Khalidatunnur Fadhilah and Abdul Ghafar, Nurul Ilyana (2019) Solving second order ordinary differential equation using Runge-Kutta method / Khalidatunnur Fadhilah Abdul Kadir and Nurul Ilyana Abdul Ghafar. Degree thesis, Universiti Teknologi MARA, Terengganu.

Abstract

Second order differential equation play a prominent role in many disciplines including engineering, physics, economics, and biology. Theoretically, solving second order differential equation is to reduce it to first order and zero order differential equation which lead to laborious work of calculation. To overcome this problem, researcher tends to use numerical method. Therefore, this research present Second Order (Modified Euler, Improved Euler), Fourth Order (Classical, Butcher-Johnson) and Sixth Order (Butcher-1, Butcher-2) Runge Kutta for solving differential equation problem numerically. To determine the most efficient numerical method, the numerical solutions are compared with the theoretical solutions in terms of accuracy and CPU time with different step sizes.

Metadata

Item Type: Thesis (Degree)
Creators:
Creators
Email / ID Num.
Abdul Kadir, Khalidatunnur Fadhilah
2016299178
Abdul Ghafar, Nurul Ilyana
2016299248
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: Differential Equation ; Numerical Method ; Runge Kutta
Date: July 2019
URI: https://ir.uitm.edu.my/id/eprint/40225
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