A Time-Splitting Tau Method for PDE's: A Contribution for the Spectral Tau Toolbox Library

• Type: Article in International Scientific Journal
• Date: 2022

Authors

Lima, N (Author) Other; José Abilio de Oliveira Matos (Author) FEP; Matos, JMA (Author) Other; vasconcelos, pb (Author) FEP

Journal

Title: Mathematics in Computer Science

Vol. 16 No. 1

Pages: 6-11

ISSN: 1661-8270

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Other information

Authenticus ID: P-00W-ES9

DOI: 10.1007/s11786-022-00526-7

Abstract (EN): This paper presents implementation details of an extension of the algebraic formulation for the spectral Tau method for the numerical solution of time-space partial differential problems, together with illustrative numerical examples. This extension implementation highlights (i) the orthogonal basis choice, (ii) the construction of the problem's algebraic representation and (iii) the mechanisms to tackle certain partial differential problems with ease. This effort will be delivered to the scientific community as a crucial building block of the Tau Toolbox (a numerical library for the solution of integro-differential problems).

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11