A SPACE-TIME SPECTRAL COLLOCATION METHOD FOR SOLVING THE VARIABLE-ORDER FRACTIONAL FOKKER-PLANCK EQUATION

• Tipo: Artigo em Revista Científica Internacional
• Data: 2023

Autores

Amin, AZ (Autor) Outra; António Mendes Lopes (Autor) FEUP; Hashim, I (Autor) Outra

Revista

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Título: JOURNAL OF APPLIED ANALYSIS AND COMPUTATION

Vol. 13

Páginas: 969-985

ISSN: 2156-907X

Indexação

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Outras Informações

ID Authenticus: P-00Y-7WA

DOI: 10.11948/20220254

Abstract (EN): A numerical approach for solving the variable-order fractional Fokker -Planck equation (VO-FFPE) is proposed. The computational scheme is based on the shifted Legendre Gauss-Lobatto and the shifted Chebyshev Gauss-Radau collocation methods. The VO-FFPE is written as a truncated series of shifted Legendre and shifted Chebyshev polynomials for space and time variables, respectively. The residuals of the VO-FFPE at the shifted Legen-dre Gauss-Lobatto and shifted Chebyshev Gauss-Radau quadrature points are estimated. The original problem is converted into a system of algebraic equa-tions that can be solved easily. Several examples are presented to demonstrate the efficacy of the technique.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 17