Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation

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 and are computed. Stability of the finite difference method is studied with the aid of V...

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Published inApplied mathematics and nonlinear sciences Vol. 4; no. 1; pp. 35 - 42
Main Authors Yokuş, Asıf, Gülbahar, Sema
Format Journal Article
LanguageEnglish
Published Beirut Sciendo 27.03.2019
De Gruyter Poland
Subjects
finite difference method
Harry Dym equation
von Neumann stability analysis
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Abstract 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 and are computed. Stability of the finite difference method is studied with the aid of Von Neumann stabity analysis.
AbstractList 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.
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 L 2 and L ∞ are computed. Stability of the finite difference method is studied with the aid of Von Neumann stabity analysis.
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 and are computed. Stability of the finite difference method is studied with the aid of Von Neumann stabity analysis.
Author Gülbahar, Sema
Yokuş, Asıf
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  organization: Department of Actuary, Firat University, 2300, Elazig, Turkey
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  givenname: Sema
  surname: Gülbahar
  fullname: Gülbahar, Sema
  email: semaakkus_mat@hotmail.com
  organization: Department of Mathematics, Harran University, Sanliurfa, Turkey
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Snippet In this study, numerical solutions of the fractional Harry Dym equation are investigated. Linearization techniques are utilized for non-linear terms existing...
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SubjectTerms finite difference method
Harry Dym equation
von Neumann stability analysis
Title Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation
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