Article
Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation
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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 L2 and L∞ are computed. Stability of the finite difference method is studied with the aid of Von Neumann stabity analysis.
Keywords
Harry Dym equation, finite difference method, von Neumann stability analysis
Citation
Yokuş, A. & Gülbahar, S. (2019). Numerical solutions with linearization techniques of the fractional harry dym equation. Applied Mathematics and Nonlinear Sciences, 4(1), 35–42. https://doi.org/10.2478/AMNS.2019.1.00004
A. Yokuş and S. Gülbahar, “Numerical solutions with linearization techniques of the fractional harry dym equation,” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 1, pp. 35–42, 2019, doi: 10.2478/AMNS.2019.1.00004.
Yokuş A, Gülbahar S. Numerical solutions with linearization techniques of the fractional harry dym equation. Applied Mathematics and Nonlinear Sciences. 2019;4(1):35–42. doi:10.2478/AMNS.2019.1.00004.
Yokuş, A. and Gülbahar, S. (2019), ‘Numerical solutions with linearization techniques of the fractional harry dym equation’, Applied Mathematics and Nonlinear Sciences, 4(1), pp. 35–42. Available at: https://doi.org/10.2478/AMNS.2019.1.00004.
Yokuş, Asıf, and Sema Gülbahar. “Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation.” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 1, 2019, pp. 35–42. https://doi.org/10.2478/AMNS.2019.1.00004.
Yokuş, Asıf, and Sema Gülbahar. “Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation.” Applied Mathematics and Nonlinear Sciences 4, no. 1 (2019): 35–42. https://doi.org/10.2478/AMNS.2019.1.00004.
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