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B-Spline Solution and the Chaotic Dynamics of Troesch's Problem

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B-Spline Solution and the Chaotic Dynamics of Troesch's Problem.pdf (579.9Kb)
Author
Çağlar, Süleyman Hikmet
Çağlar, Hatice Nazan
Özer, Mehmet
Type
conferenceObject
Date
2014-02
Language
en_US
Metadata
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Abstract
A B-spline method is presented for solving the Troesch problem. The numerical approximations to the solution are calculated and then their behavior is studied and commenced. The chaotic dynamics exhibited by the solutions of Troesch's problem as they were derived by the decomposition method approximation are examined and an approximate critical value for the parameter lambda is introduced also in this study. For the parameter value slightly less than lambda approximate to 2.2, the solutions begin to show successive bifurcations, finally entering chaotic regimes at higher lambda values. The effectiveness and accuracy of the B-spline method is verified for different values of the parameter, below its critical value, where the first bifurcation occurs.
Subject
Boundary-Value-Problems
Algorithm
URI
https://doi.org/10.12693/APhysPolA.125.554
https://hdl.handle.net/11413/2247
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  • Bildiriler, Kongreler ve Sempozyumlar / Declarations, Congresses and Symposiums [85]
  • Scopus Publications [724]
  • WoS Publications [1016]

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İstanbul Kültür University

Hakkında |Politika | Kütüphane | İletişim | Send Feedback | Admin

Istanbul Kültür University, Ataköy Campus E5 Karayolu Üzeri Bakırköy 34158, İstanbul / TURKEY
Copyright © İstanbul Kültür University

Creative Commons Lisansı
IKU Institutional Repository, Creative Commons Alıntı-GayriTicari-Türetilemez 4.0 Uluslararası Lisansı ile lisanslanmıştır.

Designed by  UNIREPOS