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Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation

Asıf Yokuş

Asıf Yokuş

Department of Actuary, Firat UniversityElazig, Turkey
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Yokuş, Asıf
 et 
Sema Gülbahar

Sema Gülbahar

Department of Mathematics, Harran UniversitySanliurfa, Turkey
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Gülbahar, Sema
  
27 mars 2019
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Publié en ligne: 27 mars 2019
Pages: 35 - 42
Reçu: 14 janv. 2019
Accepté: 21 févr. 2019
DOI: https://doi.org/10.2478/AMNS.2019.1.00004
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© 2019 Asıf Yokuş and Sema Gülbahar, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

In this study, numerical solutions of the fractional Harry Dym equation are investigated. Linearization techniques are utilized for non-linear terms existing in the fractional Harry Dym equation. The error norms L2 and L∞ are computed. Stability of the finite difference method is studied with the aid of Von Neumann stabity analysis.

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Anglais
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1 fois par an
Sujets de la revue:
Sciences de la vie, Sciences de la vie, autres, Mathématiques, Mathématiques appliquées, Mathématiques générales, Physique, Physique, autres
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