Unconditional Convergence of a Fast Two-Level Linearized Algorithm for Semilinear Subdiffusion Equations

A fast two-level linearized scheme with nonuniform time-steps is constructed and analyzed for an initial-boundary-value problem of semilinear subdiffusion equations. The two-level fast L1 formula of the Caputo derivative is derived based on the sum-of-exponentials technique. The resulting fast algor...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 80; no. 1; pp. 1 - 25
Main Authors:	Liao, Hong-lin, Yan, Yonggui, Zhang, Jiwei
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.07.2019 Springer Nature B.V
Subjects:	Algorithms Approximation Boundary value problems Computational efficiency Computational Mathematics and Numerical Analysis Energy methods Error analysis Finite element method Formulas (mathematics) Linearization Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Numerical analysis Theoretical Semilinear subdiffusion equation energy method Discrete Discrete fractional Grönwall inequality Two-level L1 formula Unconditional convergence
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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