<abstract xmlns="http://www.w3.org/1999/xhtml">

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 <italic>L</italic>2 and <italic>L</italic>∞ are computed. Stability of the finite difference method is studied with the aid of Von Neumann stabity analysis.</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 L2 and L∞ are computed. Stability of the finite difference method is studied with the aid of Von Neumann stabity analysis.

Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation

Applied Mathematics and Nonlinear Sciences

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...

Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation

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

Keywords
Harry Dym equation, finite difference method, von Neumann stability analysis

© 2019 Asıf Yokuş and Sema Gülbahar, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation

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

KeywordsHarry Dym equation, finite difference method, von Neumann stability analysis

© 2019 Asıf Yokuş and Sema Gülbahar, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Harry Dym equation, finite difference method, von Neumann stability analysis