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Journal of Applied Mathematics and Computing

Erschienen in:

02.11.2021 | Original Research

The efficient alternating direction implicit Galerkin method for the nonlocal diffusion-wave equation in three dimensions

verfasst von: Qiong Huang, Ren-jun Qi, Wenlin Qiu

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 5/2022

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Abstract

This work formulates an alternating direction implicit (ADI) Galerkin scheme for the nonlocal diffusion-wave equation in three-dimensional space. The L1 discretization formula is used to approximate the fractional Caputo derivative. A fully discrete Galerkin scheme is obtained via spatial discretization based on the finite element method. Then, an ADI algorithm is designed to reduce the computational cost. The stability and convergence analyses are derived via the energy method. Numerical experiments demonstrate the theoretical results.

Vorheriger Artikel On sufficiency and duality theorems for nonsmooth semi-infinite mathematical programming problem with equilibrium constraints

Nächster Artikel Iterative oscillation criteria for first-order difference equations with non-monotone advanced arguments

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Titel: The efficient alternating direction implicit Galerkin method for the nonlocal diffusion-wave equation in three dimensions
verfasst von: Qiong Huang
Ren-jun Qi
Wenlin Qiu
Publikationsdatum: 02.11.2021
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 5/2022
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-021-01652-4

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