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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
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Sema Gülbahar

Sema Gülbahar

Department of Mathematics, Harran UniversitySanliurfa, Turkey
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Gülbahar, Sema
  
Mar 27, 2019
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Published Online: Mar 27, 2019
Page range: 35 - 42
Received: Jan 14, 2019
Accepted: Feb 21, 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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English
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1 times per year
Journal Subjects:
Life Sciences, Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics, Physics, other
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