Analysis of a High-Accuracy Numerical Method for Time-Fractional Integro-Differential Equations

Autor:	Ziyang Luo, Xindong Zhang, Leilei Wei
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	integro-differential equation Riemann-Liouville derivative high-order approximation compact finite difference stability convergence Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 7, Iss 6, p 480 (2023)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract7060480
Popis:	A high-order finite difference numerical scheme based on the compact difference operator is proposed in this paper for time-fractional partial integro-differential equations with a weakly singular kernel, where the time-fractional derivative term is defined in the Riemann-Liouville sense. Here, the stability and convergence of the constructed compact finite difference scheme are proved in L∞ norm, with the accuracy order O(τ2+h4), where τ and h are temporal and spatial step sizes, respectively. The advantage of this numerical scheme is that arbitrary parameters can be applied to achieve the desired accuracy. Some numerical examples are presented to support the theoretical analysis.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e352455525c34766bb39be23d77dd202 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.