Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equations
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...
Main Author: | |
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Other Authors: | , |
Format: | article |
Language: | eng |
Published: |
2021
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Subjects: | |
Online Access: | http://hdl.handle.net/1822/74596 |
Country: | Portugal |
Oai: | oai:repositorium.sdum.uminho.pt:1822/74596 |
Summary: | 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. |
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