Modified implicit difference method for one-dimensional fractional wave equation

Modified implicit difference method for one-dimensional fractional wave equation

In this article, we consider the one-dimensional time-fractional diffusion-wave equation with fractional order α (1 < α < 2) and introduce a new implicit finite difference scheme. The proposed scheme is based on the discretized form of Riemann-Liouville integral formula. Numerical example is p...

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Bibliographische Detailangaben
Hauptverfasser: Ali, Umair, Abdullah, Farah Aini
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Finite difference method
Wave equations
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Beschreibung
Zusammenfassung:In this article, we consider the one-dimensional time-fractional diffusion-wave equation with fractional order α (1 < α < 2) and introduce a new implicit finite difference scheme. The proposed scheme is based on the discretized form of Riemann-Liouville integral formula. Numerical example is provided to test the application and efficiency of the proposed scheme.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5136453