A second-order scheme for a time-fractional diffusion equation
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Publication:1726585
DOI10.1016/J.AML.2018.10.016zbMath1414.65006OpenAlexW2899363375MaRDI QIDQ1726585
Anbo Le, Jian Huang, Zhongdi Cen, Aimin Xu
Publication date: 20 February 2019
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2018.10.016
Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical quadrature and cubature formulas (65D32) Fractional partial differential equations (35R11)
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Cites Work
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- A fitted scheme for a Caputo initial-boundary value problem
- Preprocessing schemes for fractional-derivative problems to improve their convergence rates
- On the discrete analogues of some generalizations of Gronwall's inequality
- A Stability Result for Sectorial Operators in Banach Bpaces
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
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