A carregar...
Publicação
Stable and convergent finite difference schemes on nonuniformtime meshes for distributed-order diffusion equations
| Nome: | Descrição: | Tamanho: | Formato: | |
|---|---|---|---|---|
| 316.67 KB | Adobe PDF |
Orientador(es)
Resumo(s)
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.
Descrição
Funding Information: Acknowledgments: The authors acknowledge the support of the Center for Mathematics and Applications (CMA)—FCT-NOVA, Center for Computational and Stochastic Mathematics, Instituto Superior Técnico, and CMAT—Centre of Mathematics—University of Minho. The first author acknowledges Fundação para a Ciência e Tecnologia (Portuguese Foundation for Science and Technology) within Projects UIDB/04621/2020 and UIDP/04621/2020. The second author acknowledges the Fundação para a Ciência e a Tecnologia through Project UIDB/00297/2020 (Centro de Matemática e Aplicações). The third author acknowledges the funding by Fundação para a Ciência e Tecnologia through Projects UIDB/00013/2020 and UIDP/00013/2020.
Palavras-chave
Convergence Diffusion equations Distributed-order derivatives Finite differences Nonuniform meshes Stability General Mathematics