Numerical Computation and Stability Analysis for the Fractional Subdiffusions with Spatial Variable Coefficients
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-10-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
In this paper, we propose an efficient compact finite difference method for a class of time-fractional subdiffusion equations with spatially variable coefficients.
Based on the L2-1σ approximation formula of the time-fractional derivative and a fourth-order compact finite difference approximation to the spatial derivative, an efficient compact finite difference method is developed.
The local truncation error and the solvability of the developed method are discussed in detail.
The unconditional stability of the resulting scheme and also its convergence of second-order in time and fourth-order in space are rigorously proved using a discrete energy analysis method.
Numerical examples are provided to demonstrate the accuracy and the theoretical results.
American Psychological Association (APA)
Ren, Lei. 2019. Numerical Computation and Stability Analysis for the Fractional Subdiffusions with Spatial Variable Coefficients. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1195669
Modern Language Association (MLA)
Ren, Lei. Numerical Computation and Stability Analysis for the Fractional Subdiffusions with Spatial Variable Coefficients. Mathematical Problems in Engineering No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1195669
American Medical Association (AMA)
Ren, Lei. Numerical Computation and Stability Analysis for the Fractional Subdiffusions with Spatial Variable Coefficients. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1195669
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195669