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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| Vydáno v: | Applied mathematics and nonlinear sciences Ročník 4; číslo 1; s. 35 - 42 |
|---|---|
| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Beirut
Sciendo
01.01.2019
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services |
| Témata: | |
| ISSN: | 2444-8656, 2444-8656 |
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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
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 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 and are computed. Stability of the finite difference method is studied with the aid of Von Neumann stabity analysis. |
| Author | Gülbahar, Sema Yokuş, Asıf |
| Author_xml | – sequence: 1 givenname: Asıf surname: Yokuş fullname: Yokuş, Asıf email: asfyokus@firat.edu.tr organization: Department of Actuary, Firat University, 2300, Elazig, Turkey – sequence: 2 givenname: Sema surname: Gülbahar fullname: Gülbahar, Sema email: semaakkus_mat@hotmail.com organization: Department of Mathematics, Harran University, Sanliurfa, Turkey |
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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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