Solving Ordinary Differential Equations in Java.

Morgan Cadle, Jason Rafe Miller

Abstract


Ordinary Differential Equations (ODEs) are equations containing multivariate derivatives of one or more function with respect to a single independent variable. ODEs are components of mathematical models used in biology, chemistry and physics. Solving ODEs can be lengthy and difficult. We investigated the complexity challenges of developing Java programs that solve ODEs within the context of undergraduate study. We evaluated the relative difficulty of writing a program in plain Java, using a Java library specific to ODEs, and solving the equations without programming. This study could help students and instructors find new ways to explore the complexity of ODE problems and generate new methods for solving them with computers.


Keywords


Differential equations; Java

Full Text:

PDF


Copyright (c) 2018 Proceedings of the West Virginia Academy of Science

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.