A highly efficient reduced-order extrapolated finite difference algorithm for time–space tempered fractional diffusion-wave equation. (April 2020)

• Record Type: Journal Article
• Authors: Luo, Zhendong; Wang, Hui
• Is Part Of: Applied mathematics letters. Volume 102(2020)
• Publication Date: 2020-04
• Subjects: Proper orthogonal decomposition -- Reduced-order FD algorithm -- Fractional diffusion-wave equation; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2019.106090
• Languages: English
• ISSNs: 0893-9659

Abstract

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.