June 15, 2014
June 15, 2014
June 18, 2014
Computing & Information Technology
24.866.1 - 24.866.22
Leveraging the power of Java and MATLAB to Solve ODE’sAbstractOrdinary Differential Equations (ODE) are used to model a wide range of physical processes. AnODE is an equation containing a function of one independent variable and its ordinaryderivatives. This paper presents the development and application of a practical teaching moduleintroducing java programming techniques to electronics, computer, and bioengineering studentsbefore they encounter digital signal processing and its applications in junior and senior levelcourses. This paper will focus primarily on how to solve ODEs using Java and Matlabprogramming tools.There are two basic types of boundary condition categories for ODEs – initial value problemsand two-point boundary value problems. Initial value problems are simpler to solve because youonly have to integrate the ODE one time. The solution of a two- point boundary value problemusually involves iterating between the values at the beginning and end of the range of integration.Matlab also presents several tools for modeling linear systems. These tools can be used to solvedifferential equations arising in such models, and to visualize the input-output relations. Thispaper attempts to describe how to use Java programming tool to solve initial value problems ofordinary differential equations (ODEs) using the Runge-Kutta scheme. It will also discuss how torepresent initial value problems and demonstrate how to apply Matlab’s ODE solvers to suchproblems. It will also explain how to select a solver and how to specify solver options forefficient, customized execution.This paper will explain how this learning and teaching module is instrumental for progressivelearning of students; the paper will also demonstrate how the numerical and integral algorithmsare derived and computed through leverage of the java data structures. As a result, there will be athorough discussion concerning the comparison of Java and Matlab programming as well asstudents’ feedback. The result of this new approach is expected to strengthen the capacity andquality of our undergraduate degree programs and enhance overall student learning andsatisfaction.
Muqri, M. R., & Muqri, H., & Chng, S. E. (2014, June), Leveraging the Power of Java and Matlab to Solve ODE's Paper presented at 2014 ASEE Annual Conference & Exposition, Indianapolis, Indiana. https://peer.asee.org/22799
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