Dealing with Functional Coefficients Within Tau Method

• Type: Article in International Scientific Journal
• Date: 2018

Authors

Trindade, M (Author) Other; Matos, J (Author) Other; vasconcelos, pb (Author) FEP

Journal

Title: Mathematics in Computer Science

Vol. 12

Pages: 183-195

ISSN: 1661-8270

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 1 Citation

Other information

Authenticus ID: P-00N-S2H

DOI: 10.1007/s11786-018-0331-y

Abstract (EN): The spectral tau method was originally proposed by Lanczos for the solution of linear differential problems with polynomial coefficients. In this contribution we present three approaches to tackle integro-differential equations with non-polynomial coefficients: (i) making use of functions of matrices, (ii) applying orthogonal interpolation and (iii) solving auxiliary differential problems by the tau method itself. These approaches are part of the Tau Toolbox efforts for deploying a numerical library for the solution of integro-differential problems. Numerical experiments illustrate the use of all these polynomial approximations in the context of the tau method. © 2018 Springer International Publishing AG, part of Springer Nature

Language: English

Type (Professor's evaluation): Scientific