Explicit Formulae for Integro-Differential Operational Matrices

• Type: Article in International Scientific Journal
• Date: 2021

Authors

Matos, JMA (Author) Other; Maria Joao Rodrigues (Author) FCUP; de Matos, JC (Author) Other

Journal

Title: Mathematics in Computer Science

Vol. 15 No. 1

Pages: 45-61

ISSN: 1661-8270

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Other information

Authenticus ID: P-00R-WPZ

DOI: 10.1007/s11786-020-00465-1

Abstract (EN): In this work we deduce explicit formulae for the elements of the matrices representing the action of integro-differential operators over the coefficients of generalized Fourier series. Our formulae are obtained by performing operations on the bases of orthogonal polynomials and result directly from the three-term recurrence relation satisfied by the polynomials. Moreover we give exact formulae for the coefficients for some families of orthogonal polynomials. Some tests are given to demonstrate the robustness of the formulas presented.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 17