Unconditional convergence analysis of two linearized Galerkin FEMs for the nonlinear time-fractional diffusion-wave equation

Unconditional convergence analysis of two linearized Galerkin FEMs for the nonlinear time-fractional diffusion-wave equation

In this paper, we present and analyze two linearized Galerkin finite element schemes, which are constructed by employing the H2N2 formula and its fast version in time direction, for solving the nonlinear time-fractional diffusion-wave equation. By utilizing mathematical induction, the optimal error...

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Bibliographic Details
Main Authors: Zhen Guan, Jungang Wang, Ying Liu, Yufeng Nie
Format: Article
Language:English
Published: Elsevier 2023-08-01
Series:Results in Applied Mathematics
Subjects:
Linearized Galerkin FEMs
H2N2 formula
Nonlinear time-fractional diffusion-wave equation
Unconditionally optimal error estimates
Sobolev’s embedding inequality
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037423000353

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http://www.sciencedirect.com/science/article/pii/S2590037423000353

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