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An exponentially fitted method for solving Burgers' equation

✍ Scribed by Turgut Öziş; Utku Erdoğkan


Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
181 KB
Volume
79
Category
Article
ISSN
0029-5981

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✦ Synopsis


Abstract

In this paper, an exponentially fitted method is used to numerically solve the one‐dimensional Burgers' equation. The performance of the method is tested on the model involving moderately large Reynolds numbers. The obtained numerical results show that the method is efficient, stable and reliable for solving Burgers' equation accurately even involving high Reynolds numbers for which the exact solution fails. Copyright © 2009 John Wiley & Sons, Ltd.


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P-stable Exponentially Fitted Methods fo
✍ T.E Simos 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 115 KB

A P-stable exponentially fitted method is developed in this paper for the numerical integration of the Schrödinger equation. An application to the bound-states problem (we solve the radial Schrödinger equation in order to find eigenvalues for which the wavefunction and its derivative are continuous