Phyton Implementation Of Runge -Kutta Fourth Order Algorithm: An Application To A Selected Harmonic Oscillator.
ABSTRACT
This study is set out to use python 2.6 to
implement the Runge-Kutta Fourth Order Algorithm for a selected harmonic
oscillator. In order to achieve this goal a system of simple harmonic
oscillator was modeled and Runge-Kutta fourth order (RK4) algorithm was used to
develop a python code. The result displayed a plot of family of curves for
selected values of damping factor which when compare with the known shapes of
curves were the same and agreed with the laws of physics. Chapter one gives a
general overview of the situation and motivation for the current work. It also
defines the aim and objectives of the work. Chapter two shall present a review
of literature related to the work. Special emphasis shall be given to harmonic
oscillations, second order differential equations, the Runge-Kutta fourth order
method (RK4) and python programming language. In chapter 3, the methods and
tools employed in the work shall be presented. There shall include the model
equation, the Runge-Kutta fourth order algorithms and the python code. The
results from the implementation of our code shall be presented in graphs. This
shall be done for different values of the damping factor, comparing the results
with known results. Still in this chapter four, the results shall be interpreted.
Finally, we shall present the summary and conclusion in chapter five.
0.0
WISDOM, H (2021). Phyton Implementation Of Runge -Kutta Fourth Order Algorithm: An Application To A Selected Harmonic Oscillator.. Repository.mouau.edu.ng: Retrieved May 06, 2024, from https://repository.mouau.edu.ng/work/view/phyton-implementation-of-runge-kutta-fourth-order-algorithm-an-application-to-a-selected-harmonic-oscillator-7-2
HENRY, WISDOM. "Phyton Implementation Of Runge -Kutta Fourth Order Algorithm: An Application To A Selected Harmonic Oscillator." Repository.mouau.edu.ng. Repository.mouau.edu.ng, 05 Jul. 2021, https://repository.mouau.edu.ng/work/view/phyton-implementation-of-runge-kutta-fourth-order-algorithm-an-application-to-a-selected-harmonic-oscillator-7-2. Accessed 06 May. 2024.
HENRY, WISDOM. "Phyton Implementation Of Runge -Kutta Fourth Order Algorithm: An Application To A Selected Harmonic Oscillator.". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 05 Jul. 2021. Web. 06 May. 2024. < https://repository.mouau.edu.ng/work/view/phyton-implementation-of-runge-kutta-fourth-order-algorithm-an-application-to-a-selected-harmonic-oscillator-7-2 >.
HENRY, WISDOM. "Phyton Implementation Of Runge -Kutta Fourth Order Algorithm: An Application To A Selected Harmonic Oscillator." Repository.mouau.edu.ng (2021). Accessed 06 May. 2024. https://repository.mouau.edu.ng/work/view/phyton-implementation-of-runge-kutta-fourth-order-algorithm-an-application-to-a-selected-harmonic-oscillator-7-2