Solving first order ordinary differential equation using adaptive Runge-Kutta method / Syauqina Nadia Hazlin

Hazlin, Syauqina Nadia (2020) Solving first order ordinary differential equation using adaptive Runge-Kutta method / Syauqina Nadia Hazlin. Degree thesis, Universiti Teknologi MARA.

Abstract

Runge-Kutta (RK) method can be used to solve first order ordinary differential equation problem in the form of numerical method. Recently, researchers have developed many versions of Runge-Kutta method to increase its accuracy and efficiency. In this research, fourth order adaptive Runge-Kutta methods of Bogacki- Shampine, Cash-Karp, Runge-Kutta of Order Four and Runge-Kutta Fehlberg are used to solve six different first order ordinary differential equation problems using different step size and final solution point. The numerical results are compared with theoretical solution in order to obtain accuracy and to determine the best method based on error and central processing unit (CPU) time.

Metadata

Item Type: Thesis (Degree)
Creators:
CreatorsEmail / ID. Num
Hazlin, Syauqina Nadia2016289488
Contributors:
ContributionNameID Num. / Email
Thesis advisorMohd Ali, Mohd RivaieUNSPECIFIED
Subjects: Q Science > QA Mathematics > Equations
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
Divisions: Universiti Teknologi MARA, Terengganu > Kuala Terengganu Campus > Faculty of Computer and Mathematical Sciences
Programme: Bachelor of Science (Hons) Computational Mathematics
Item ID: 40034
Uncontrolled Keywords: Runge-Kutta ; Bogacki- Shampine ; Cash-Karp ; Fehlberg ; Ordinary Differential
URI: http://ir.uitm.edu.my/id/eprint/40034

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