Improving the Accuracy of Chebyshev Tau Method for Nonlinear Differential Problems

• Tipo: Artigo em Revista Científica Internacional
• Data: 2016

Autores

Gavina, A (Autor) Outra; Matos, J (Autor) Outra; Vasconcelos, PB (Autor) FEP

Revista

Título: Mathematics in Computer Science

Vol. 10 Nº 2

Páginas: 279-289

ISSN: 1661-8270

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 1 Citação

Scopus - 0 Citações

Outras Informações

ID Authenticus: P-00K-CPB

DOI: 10.1007/s11786-016-0265-1

Abstract (EN): The spectral properties convergence of the Tau method allow to obtain good approximate solutions for linear differential problems advantageously. However, for nonlinear differential problems the method may produce ill-conditioned matrices issued from the approximations obtained in the iterations from the linearization process. In this work we introduce a procedure to approximate nonlinear terms in the differential equations and a new way to build the corresponding algebraic problem improving the stability of the overall algorithm. Introducing the linearization coefficients of orthogonal polynomials in the Tau method within the iterative process, we can go further in the degree to approximate the solution of the differential problems, avoiding the consequences of ill-conditioning. © 2016 Springer International Publishing

Idioma: Inglês

Tipo (Avaliação Docente): Científica