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Calcolo
Published in: Calcolo 3/2023

01-09-2023

ADI Finite Element Galerkin Methods for Two-dimensional Tempered Fractional Integro-differential Equations

Authors: Wenlin Qiu, Graeme Fairweather, Xuehua Yang, Haixiang Zhang

Published in: Calcolo | Issue 3/2023

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Abstract

Three alternating direction implicit (ADI) finite element Galerkin methods for solving two-dimensional tempered fractional integro-differential equations are formulated and analyzed. For the time discretization, these methods are based on the backward Euler scheme, the Crank–Nicolson scheme and the second-order backward differentiation formula, respectively, each combined with an appropriate convolution quadrature rule. For each technique, optimal error estimates are derived and validated by numerical experiments.
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Metadata
Title
ADI Finite Element Galerkin Methods for Two-dimensional Tempered Fractional Integro-differential Equations
Authors
Wenlin Qiu
Graeme Fairweather
Xuehua Yang
Haixiang Zhang
Publication date
01-09-2023
Publisher
Springer International Publishing
Published in
Calcolo / Issue 3/2023
Print ISSN: 0008-0624
Electronic ISSN: 1126-5434
DOI
https://doi.org/10.1007/s10092-023-00533-5

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