Comparative Numerical Study of Fornberg-Whitham Equation

In this paper, we construct an analytical study of the Fornberg-Whitham fractional differential equation in the sense of Caputo definition. The basic properties of the fractional differential equation and the Fornberg-Whitham equation are given. We applied the homotopy analysis transform method to o...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	International journal of applied and computational mathematics 2023, Vol.9 (1), Article 10
Hauptverfasser:	Massoun, Y., Benzine, R., Alomari, A. K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Applied mathematics Computational mathematics Computational Science and Engineering Differential equations Exact solutions Fractional calculus Homotopy theory Mathematical and Computational Physics Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Nuclear Energy Numerical methods Operations Research/Decision Theory Original Paper Theoretical
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	In this paper, we construct an analytical study of the Fornberg-Whitham fractional differential equation in the sense of Caputo definition. The basic properties of the fractional differential equation and the Fornberg-Whitham equation are given. We applied the homotopy analysis transform method to obtain the analytic solution for this equation, and the results compared with other obtained solutions by different numerical methods. A comparison study observed the efficacy and accuracy of the present method.
ISSN:	2349-5103 2199-5796
DOI:	10.1007/s40819-022-01485-0