$Lie symmetry analysis and conservation laws for the time fractional generalized advection–diffusion equation$

Lie symmetry analysis and conservation laws for the time fractional generalized advection–diffusion equation

In this paper, the Lie symmetry group method is employed to study the time fractional generalized advection–diffusion equation. The Lie symmetry algebra classification is established by considering three different cases. Next, the similarity reductions are performed, and some solutions including inv...

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Veröffentlicht in:	Computational & applied mathematics 2023-02, Vol.42 (1), Article 50
Hauptverfasser:	Rahioui, Mohamed, El Kinani, El Hassan, Ouhadan, Abdelaziz
Format:	Artikel
Sprache:	eng
Schlagworte:	Advection Advection-diffusion equation Applications of Mathematics Applied physics Computational mathematics Computational Mathematics and Numerical Analysis Conservation laws Diffusion Mathematical Applications in Computer Science Mathematical Applications in the Physical Sciences Mathematics Mathematics and Statistics Symmetry
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Zusammenfassung:	In this paper, the Lie symmetry group method is employed to study the time fractional generalized advection–diffusion equation. The Lie symmetry algebra classification is established by considering three different cases. Next, the similarity reductions are performed, and some solutions including invariants are derived. Finally, conservation laws are successfully constructed using the symmetry generators.
ISSN:	2238-3603 1807-0302
DOI:	10.1007/s40314-023-02186-0