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Stable and Convergent Finite Difference Schemes on NonuniformTime Meshes for Distributed-Order Diffusion Equations

Title
Stable and Convergent Finite Difference Schemes on NonuniformTime Meshes for Distributed-Order Diffusion Equations
Type
Article in International Scientific Journal
Year
2021
Authors
Morgado, ML
(Author)
Other
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Rebelo, M
(Author)
Other
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Ferras, LL
(Author)
FEUP
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Journal
Title: MathematicsImported from Authenticus Search for Journal Publications
Vol. 16
Final page: 1975
Publisher: MDPI
Indexing
Publicação em ISI Web of Knowledge ISI Web of Knowledge - 0 Citations
Publicação em Scopus Scopus - 0 Citations
Other information
Authenticus ID: P-00V-C4X
Abstract (EN): In this work, stable and convergent numerical schemes on nonuniform time meshes are proposed, for the solution of distributed-order diffusion equations. The stability and convergence of the numerical methods are proven, and a set of numerical results illustrate that the use of particular nonuniform time meshes provides more accurate results than the use of a uniform mesh, in the case of nonsmooth solutions.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 15
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