Adaptive Methods for Second Order Initial Value Problems

Rai, Sesappa A (2010) Adaptive Methods for Second Order Initial Value Problems. In: International Conference of Numerical Analysis and Applied Mathematics 2010, 2010.

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This paper deals with two-step methods of order two and order four with minimum truncation error for numerical integration of second order initial value problems. The methods depend upon a parameter p>0, and reduce to the Classical Numerov method for p=0. As p becomes very large the truncation error tends to zero. The methods are unconditionally stable when applied to the test equation. To illustrate the order, accuracy and stability of the method, the test problem and non linear undamped duffing equations are solved. The results are compared with some other well known methods and the derived methods give better results than any other existing fourth order methods.

Item Type: Conference or Workshop Item (Paper)
Additional Information: © 2010 American Institute of Physics
Uncontrolled Keywords: Initial value problems, absolutely stable.
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 30 Aug 2011 09:20
Last Modified: 30 Aug 2011 09:20

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