This week, University Putra Malaysia's team unveiled their latest inventions and products at the 34th International Exhibition of Inventions, New Techniques and Products in Geneva (April 2-6, 2008), also known as the World's Largest Market-Place for Inventions.
This research is on a software to solve 2nd and 3rd order ordinary differential equations without modifying the structure of the problem tested i.e. not reducing it to the first order system. The code is useful to the scientist, engineers, applied mathematicians and educators to solve many mathematical models in the form of higher order ordinary differential equations in various areas including physics, chemistry, biology, engineering and economics.
TITLE: Direct Block Software for Solving Higher Order Ordinary Differential Equations
RESEARCHERS: Dr. Zanariah Abdul Majid and Prof. Dato’ Dr. Mohamed SuleimanContact details for Dr. Zanariah Abdul Majid
The higher order ODEs can be solved by reducing it to a system of first order ODEs and then solved using any numerical method i.e Euler method. This approach is very well established but it obviously will enlarge the system of first order ODEs. However, the developed code will solve the higher order ODEs directly without reducing it to the first order system. The aim is to solve the higher order ODEs as it appears and never modify the structure of the problem tested.
The code is suitable for solving the numerical integration of non stiff and mildly stiff higher order differential systems. The numerical results obtained are very efficient in terms of accuracy and timing. The source code developed would be useful to the scientist, engineers, applied mathematicians and educators to solve many mathematical models in the form of higher order ordinary differential equations in various areas including physics, chemistry, biology, engineering and economics.
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