Numerical Approximation of the Fractional Rayleigh-Stokes Problem Arising in a Generalised Maxwell Fluid

• Tipo: Artigo em Revista Científica Internacional
• Data: 2022

Autores

Long, LD (Autor) Outra; Moradi, B (Autor) Outra; Nikan, O (Autor) Outra; Avazzadeh, Z (Autor) Outra; António Mendes Lopes (Autor) FEUP

Revista

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Título: FRACTAL AND FRACTIONAL

Vol. 236

Página Final: 377

ISSN: 2504-3110

Indexação

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Scopus - 0 Citações

Outras Informações

ID Authenticus: P-00W-TSP

DOI: 10.3390/fractalfract6070377

Abstract (EN): This paper presents a numerical technique to approximate the Rayleigh-Stokes model for a generalised Maxwell fluid formulated in the Riemann-Liouville sense. The proposed method consists of two stages. First, the time discretization of the problem is accomplished by using the finite difference. Second, the space discretization is obtained by means of the predictor-corrector method. The unconditional stability result and convergence analysis are analysed theoretically. Numerical examples are provided to verify the feasibility and accuracy of the proposed method.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 15