Finite Difference Schemes with Non-uniform Time Meshes for Distributed-Order Diffusion Equations

• Type: Article in International Conference Proceedings Book
• Date: 2022

Authors

Morgado, ML (Author) Other; Rebelo, M (Author) Other; Ferrás, LL (Author) FEUP

Conference proceedings International

Title: Lecture Notes in Networks and Systems

Pages: 239-244

International Conference on Fractional Calculus and its Applications, 2021

6 September 2021 through 8 September 2021

Indexing

Scopus

Other information

Authenticus ID: P-00W-KC5

DOI: 10.1007/978-3-031-04383-3_27

Abstract (EN): In this work, a stable and convergent numerical scheme on non-uniform time meshes is proposed, for the solution of distributed-order diffusion equations. A set of numerical results illustrates that the use of particular non-uniform time meshes provides more accurate results than the use of a uniform mesh, in the case of non-smooth solutions. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Language: English

Type (Professor's evaluation): Scientific