Research Article | OPEN ACCESS
Evaluation of MATLAB Methods used to Solve Second Order Linear ODE
Yasin Al-Hasan
Albalqa Applied University, Amman, Jordan, Tel.: 00962777481434
Research Journal of Applied Sciences, Engineering and Technology 2014 13:2634-2638
Received: June 17, 2013 | Accepted: July 03, 2013 | Published: April 05, 2014
Abstract
Most second-order Ordinary Differential Equations (ODES) arising in realistic applications such as applied mathematics, physics, metrology and engineering. All of these disciplines are concerned with the properties of differential equations of various types. ODES cannot be solved exactly. For these problems one does a qualitative analysis to get a rough idea of the behavior of the solution. Then a numerical method is employed to get an accurate solution. In this way, one can verify the answer obtained from the numerical method by comparing it to the answer obtained from qualitative analysis. In a few fortunate cases a second-order ode can be solved exactly. Because of the big efforts needed to solve second order linear ODES, some MATLAB methods were investigated, the result of these methods were studied and some judgment were done regarding the results accuracy and implementation time.
Keywords:
Homogenous, inhomogeneous, MATLAB method, modeling, ODES,
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Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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The authors have no competing interests.
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