A tau method for nonlinear dynamical systems

• Type: Article in International Scientific Journal
• Date: 2013

Authors

Maria Joao Rodrigues (Author) FCUP; Jose Matos (Author) Other

Journal

Title: Numerical Algorithms

Vol. 62

Pages: 583-600

ISSN: 1017-1398

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 4 Citations

Scopus - 4 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-005-29W

DOI: 10.1007/s11075-012-9663-x

Abstract (EN): In this work we present a new Tau method for the solution of nonlinear systems of differential equations which are linear in the derivative of highest order and polynomial in the remaining. We avoid the linearization of the problem by associating to it a nonlinear algebraic system and combine a forward substitution with the Tau method. We develop an adaptive step by step version of this alternative nonlinear tau method and we apply it to several nonlinear dynamical systems.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 18