Data Structures and Algorithms


Graphical User Interface (Gui) for Visualization of Solutions of Initial Value Problems Using Runge-Kutta Methods

Authors: Folaranmi Akinola Davidson

In this paper, a successful approach for the visualization of the solutions of initial value problems using different Runge-Kutta methods by developing a new graphical user interface (GUI), has been introduced. The main objective of the paper is to apply the tkinter, numpy[1] and matplotlib[2] modules of the Python programming language in developing a GUI that would enable the user to appreciate the accuracy of each Runge-Kutta method at different step size/increment. The second purpose of this paper is to develop a python module that contains functions that can be imported to .py files when the need to implement Runge-Kutta methods on initial value problems arises. The GUI was used to solve and plot the solutions of an initial value problem. The variations in the graph patterns illustrate the accuracy of the output of each method. Keywords GUI, Runge-Kutta methods

Comments: 14 Pages. The source code for the GUI may be downloaded from

Download: PDF

Submission history

[v1] 2019-12-24 04:12:54

Unique-IP document downloads: 17 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus