Explicit Formulae for Integro-Differential Operational Matrices

• Tipo: Artigo em Revista Científica Internacional
• Data: 2021

Autores

Matos, JMA (Autor) Outra; Maria Joao Rodrigues (Autor) FCUP; de Matos, JC (Autor) Outra

Revista

Título: Mathematics in Computer Science

Vol. 15 Nº 1

Páginas: 45-61

ISSN: 1661-8270

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 1 Citação

Scopus - 1 Citação

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 17