Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equations

M. Luísa Morgado, Magda Rebelo, Luís L. Ferrás

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number1975
JournalMathematics
Volume9
Issue number16
DOIs
Publication statusPublished - 18 Aug 2021

Keywords

  • Convergence
  • Diffusion equations
  • Distributed-order derivatives
  • Finite differences
  • Nonuniform meshes
  • Stability

Fingerprint

Dive into the research topics of 'Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equations'. Together they form a unique fingerprint.

Cite this