A highly efficient reduced-order extrapolated finite difference algorithm for time–space tempered fractional diffusion-wave equation

Zhendong Luo; Hui Wang

doi:10.1016/j.aml.2019.106090

A highly efficient reduced-order extrapolated finite difference algorithm for time–space tempered fractional diffusion-wave equation

Zhendong Luo
, Hui Wang^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

32 Citations (Scopus)

Abstract

In this paper, we mainly utilize a proper orthogonal decomposition (POD) to develop a highly efficient reduced-order extrapolated finite difference (FD) algorithm for two-dimensional (2D) diffusion-wave equation with time–space tempered fractional derivatives, analyze its stability and convergence by means of matrix theory, and utilize some numerical experiments to verify the feasibility and effectiveness of the algorithm.

Original language	English
Article number	106090
Journal	Applied Mathematics Letters
Volume	102
DOIs	https://doi.org/10.1016/j.aml.2019.106090
Publication status	Published - Apr 2020
Externally published	Yes

Keywords

Fractional diffusion-wave equation
Proper orthogonal decomposition
Reduced-order FD algorithm

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10.1016/j.aml.2019.106090

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title = "A highly efficient reduced-order extrapolated finite difference algorithm for time–space tempered fractional diffusion-wave equation",

abstract = "In this paper, we mainly utilize a proper orthogonal decomposition (POD) to develop a highly efficient reduced-order extrapolated finite difference (FD) algorithm for two-dimensional (2D) diffusion-wave equation with time–space tempered fractional derivatives, analyze its stability and convergence by means of matrix theory, and utilize some numerical experiments to verify the feasibility and effectiveness of the algorithm.",

keywords = "Fractional diffusion-wave equation, Proper orthogonal decomposition, Reduced-order FD algorithm",

author = "Zhendong Luo and Hui Wang",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Ltd",

year = "2020",

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doi = "10.1016/j.aml.2019.106090",

language = "English",

volume = "102",

journal = "Applied Mathematics Letters",

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AU - Luo, Zhendong

AU - Wang, Hui

PY - 2020/4

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N2 - In this paper, we mainly utilize a proper orthogonal decomposition (POD) to develop a highly efficient reduced-order extrapolated finite difference (FD) algorithm for two-dimensional (2D) diffusion-wave equation with time–space tempered fractional derivatives, analyze its stability and convergence by means of matrix theory, and utilize some numerical experiments to verify the feasibility and effectiveness of the algorithm.

AB - In this paper, we mainly utilize a proper orthogonal decomposition (POD) to develop a highly efficient reduced-order extrapolated finite difference (FD) algorithm for two-dimensional (2D) diffusion-wave equation with time–space tempered fractional derivatives, analyze its stability and convergence by means of matrix theory, and utilize some numerical experiments to verify the feasibility and effectiveness of the algorithm.

KW - Fractional diffusion-wave equation

KW - Proper orthogonal decomposition

KW - Reduced-order FD algorithm

UR - https://www.scopus.com/pages/publications/85075904538

U2 - 10.1016/j.aml.2019.106090

DO - 10.1016/j.aml.2019.106090

M3 - Article

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SN - 0893-9659

VL - 102

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 106090

ER -

A highly efficient reduced-order extrapolated finite difference algorithm for time–space tempered fractional diffusion-wave equation

Abstract

Keywords

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