Aydın, Ayhan

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Profile URL
https://hdl.handle.net/20.500.14411/6774
Name Variants
Aydın,A.
Aydin, Ayhan
A.,Aydın
A., Ayhan
Aydın, Ayhan
Aydin,Ayhan
Ayhan Aydın
A., Aydın
Aydin A.
A.,Aydin
Ayhan, Aydin
Aydın A.
AYDIN A.
A.,Ayhan
A., Aydin
Aydin,A.
Ayhan, Aydın
Job Title
Profesör Doktor
Email Address
ayhan.aydin@atilim.edu.tr
Main Affiliation
Mathematics
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Website
ORCID ID
0000-0002-0837-9364
Scopus Author ID
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID
AAL-5690-2020

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Documents

17

Citations

171

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Scholarly Output

31

Articles

23

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24/0

Supervised MSc Theses

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WoS Citation Count

154

Scopus Citation Count

152

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Turkish Journal of Mathematics2
Journal of Mathematical Physics2
Applied Mathematics and Computation1
Boundary Value Problems1
Chaos, Solitons & Fractals1
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Author: Aydin, A.

Scholarly Output Search Results

Now showing 1 - 3 of 3
  • Thumbnail Image
    Article
    Citation - WoS: 24
    Citation - Scopus: 24
    Symplectic and multisymplectic Lobatto methods for the "good" Boussinesq equation
    (Amer inst Physics, 2008) Aydin, A.; Karasoezen, B.
    In this paper, we construct second order symplectic and multisymplectic integrators for the "good" Boussineq equation using the two-stage Lobatto IIIA-IIIB partitioned Runge-Kutta method, which yield an explicit scheme and is equivalent to the classical central difference approximation to the second order spatial derivative. Numerical dispersion properties and the stability of both integrators are investigated. Numerical results for different solitary wave solutions confirm the excellent long time behavior of symplectic and multisymplectic integrators by preservink local and global energy and momentum. (C) 2008 American Institute of Physics.
  • Thumbnail Image
    Article
    Citation - WoS: 17
    Citation - Scopus: 16
    Multisymplectic Box Schemes for the Complex Modified Korteweg-De Vries Equation
    (Amer inst Physics, 2010) Aydin, A.; Karasozen, B.
    In this paper, two multisymplectic integrators, an eight-point Preissman box scheme and a narrow box scheme, are considered for numerical integration of the complex modified Korteweg-de Vries equation. Energy and momentum preservation of both schemes and their dispersive properties are investigated. The performance of both methods is demonstrated through numerical tests on several solitary wave solutions. (C) 2010 American Institute of Physics. [doi:10.1063/1.3456068]
  • Thumbnail Image
    Article
    Citation - WoS: 39
    Citation - Scopus: 44
    Symplectic and Multi-Symplectic Methods for Coupled Nonlinear Schrodinger Equations With Periodic Solutions
    (Elsevier, 2007) Aydin, A.; Karasoezen, B.
    We consider for the integration of coupled nonlinear Schrodinger equations with periodic plane wave solutions a splitting method from the class of symplectic integrators and the multi-symplectic six-point scheme which is equivalent to the Preissman scheme. The numerical experiments show that both methods preserve very well the mass, energy and momentum in long-time evolution. The local errors in the energy are computed according to the discretizations in time and space for both methods. Due to its local nature, the multi-symplectic six-point scheme preserves the local invariants more accurately than the symplectic splitting method, but the global errors for conservation laws are almost the same. (C) 2007 Elsevier B.V. All rights reserved.