Paper Publications
Unconditionally convergent numerical method for the two-dimensional nonlinear time fractional diffusion-wave equation
Release Time:2020-03-24
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Institution:
数学学院
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Journal:
Applied Numerical Mathematics
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Key Words:
Two-dimensional nonlinear time fractional diffusion-wave equation; Optimal error estimate; Crank-Nicolson method; Legendre spectral method
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Summary:
In this paper, we develop a Crank-Nicolson Legendre spectral method for solving the two-dimensional nonlinear time fractional diffusion-wave equation in bounded rectangular domains. In terms of the error splitting argument technique, an optimal error estimate of the numerical scheme is obtained without any time-step size conditions, while the usual analysis for high dimensional nonlinear fractional problems always required certain time-step restrictions dependent on the spatial mesh size. Some numerical results are given to justify the theoretical analysis. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.
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First Author:
张慧
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All the Authors:
Jiang Xiaoyun,张慧
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Document Code:
9CB0BCB610AE422C9B0DB1051E8AFB95
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Discipline:
Natural Science
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First-Level Discipline:
Mathematics
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Volume:
146
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Page Number:
1-12
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Translation or Not:
No
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Date of Publication:
2019-12
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Included Journals:
SCI
