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International Conference on Software Technology and Engineering, 3rd (ICSTE 2011)

By
Mohamed Othman
Mohamed Othman
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Raja Suzana Raja Kasim
Raja Suzana Raja Kasim
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ISBN:
9780791859797
No. of Pages:
760
Publisher:
ASME Press
Publication date:
2011

The set of explicit third-order New Improved Runge-Kutta (NIRK) method that just uses two function evaluations per step is developed. Because of lower number of function evaluations, the scheme proposed herein has a lower computational cost than the classical third-order Runge-Kutta method while maintaining the same order of local accuracy. The stability region of the new method are discussed also the numerical examples are presented to illustrate the computational efficiency and accuracy for the new method.

Abstract
Key Words
1 Introduction
2 Third Order Method with Two-Stage (NIRK3)
3 Stability Analyses
4 Numerical Examples
5 Conclusions
References
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