NUMERICAL SOLUTIONS OF TIME FRACTIONAL KORTEWEGñDE VRIES EQUATION AND ITS STABILITY ANALYSIS

Asıf YOKUŞ (Fırat Üniversitesi, Fen Fakültesi, Aktüerya Bölümü, Elazığ, Türkiye)
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
1 0
Yıl: 2019 Cilt: 68 Sayı: 1 Sayfa Aralığı: 353 - 361 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.420771 İndeks Tarihi: 18-11-2020

NUMERICAL SOLUTIONS OF TIME FRACTIONAL KORTEWEGñDE VRIES EQUATION AND ITS STABILITY ANALYSIS

Öz:
In this study, the fractional derivative and Önite di§erence operators are analyzed. The time fractional KdV equation with initial conditionis considered. Discretized equation is obtained with the help of Önite di§erence operators and used Caputo formula. The inherent truncation errors in themethod are deÖned and analyzed. Stability analysis is explored to demonstratethe accuracy of the method. While doing this analysis, considering conservation law, with the help of using the deÖnition discovered by Lax-Wendro§,von Neumann stability analysis is applied. The numerical solutions of timefractional KdV equation are obtained by using Önite di§erence method. Thecomparison between obtained numerical solutions and exact solution from existing literature is made. This comparison is highlighted with the graphs aswell. Results are presented in tables using the Mathematica software packagewherever it is needed.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Yokuş A (2019). NUMERICAL SOLUTIONS OF TIME FRACTIONAL KORTEWEGñDE VRIES EQUATION AND ITS STABILITY ANALYSIS. , 353 - 361. 10.31801/cfsuasmas.420771
Chicago Yokuş Asıf NUMERICAL SOLUTIONS OF TIME FRACTIONAL KORTEWEGñDE VRIES EQUATION AND ITS STABILITY ANALYSIS. (2019): 353 - 361. 10.31801/cfsuasmas.420771
MLA Yokuş Asıf NUMERICAL SOLUTIONS OF TIME FRACTIONAL KORTEWEGñDE VRIES EQUATION AND ITS STABILITY ANALYSIS. , 2019, ss.353 - 361. 10.31801/cfsuasmas.420771
AMA Yokuş A NUMERICAL SOLUTIONS OF TIME FRACTIONAL KORTEWEGñDE VRIES EQUATION AND ITS STABILITY ANALYSIS. . 2019; 353 - 361. 10.31801/cfsuasmas.420771
Vancouver Yokuş A NUMERICAL SOLUTIONS OF TIME FRACTIONAL KORTEWEGñDE VRIES EQUATION AND ITS STABILITY ANALYSIS. . 2019; 353 - 361. 10.31801/cfsuasmas.420771
IEEE Yokuş A "NUMERICAL SOLUTIONS OF TIME FRACTIONAL KORTEWEGñDE VRIES EQUATION AND ITS STABILITY ANALYSIS." , ss.353 - 361, 2019. 10.31801/cfsuasmas.420771
ISNAD Yokuş, Asıf. "NUMERICAL SOLUTIONS OF TIME FRACTIONAL KORTEWEGñDE VRIES EQUATION AND ITS STABILITY ANALYSIS". (2019), 353-361. https://doi.org/10.31801/cfsuasmas.420771
APA Yokuş A (2019). NUMERICAL SOLUTIONS OF TIME FRACTIONAL KORTEWEGñDE VRIES EQUATION AND ITS STABILITY ANALYSIS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 68(1), 353 - 361. 10.31801/cfsuasmas.420771
Chicago Yokuş Asıf NUMERICAL SOLUTIONS OF TIME FRACTIONAL KORTEWEGñDE VRIES EQUATION AND ITS STABILITY ANALYSIS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 68, no.1 (2019): 353 - 361. 10.31801/cfsuasmas.420771
MLA Yokuş Asıf NUMERICAL SOLUTIONS OF TIME FRACTIONAL KORTEWEGñDE VRIES EQUATION AND ITS STABILITY ANALYSIS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.68, no.1, 2019, ss.353 - 361. 10.31801/cfsuasmas.420771
AMA Yokuş A NUMERICAL SOLUTIONS OF TIME FRACTIONAL KORTEWEGñDE VRIES EQUATION AND ITS STABILITY ANALYSIS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2019; 68(1): 353 - 361. 10.31801/cfsuasmas.420771
Vancouver Yokuş A NUMERICAL SOLUTIONS OF TIME FRACTIONAL KORTEWEGñDE VRIES EQUATION AND ITS STABILITY ANALYSIS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2019; 68(1): 353 - 361. 10.31801/cfsuasmas.420771
IEEE Yokuş A "NUMERICAL SOLUTIONS OF TIME FRACTIONAL KORTEWEGñDE VRIES EQUATION AND ITS STABILITY ANALYSIS." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 68, ss.353 - 361, 2019. 10.31801/cfsuasmas.420771
ISNAD Yokuş, Asıf. "NUMERICAL SOLUTIONS OF TIME FRACTIONAL KORTEWEGñDE VRIES EQUATION AND ITS STABILITY ANALYSIS". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 68/1 (2019), 353-361. https://doi.org/10.31801/cfsuasmas.420771
Sayfa Oluşturulma Tarihi
10-05-2024 7:1

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