Almost Exact Computation of Eigenvalues in Approximate Differential Problems

• Type: Article in International Scientific Journal
• Date: 2019

Authors

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

Journal

Title: Mathematical and Computational Applications

Vol. 24 No. 4

Final page: 96

ISSN: 1300-686X

Publisher: Celal Bayar Universitesi

Indexing

ISI Web of Knowledge - 2 Citations

Other information

Authenticus ID: P-00R-9AD

DOI: 10.3390/mca24040096

Abstract (EN): Differential eigenvalue problems arise in many fields of Mathematics and Physics, often arriving, as auxiliary problems, when solving partial differential equations. In this work, we present a method for eigenvalues computation following the Tau method philosophy and using Tau Toolbox tools. This Matlab toolbox was recently presented and here we explore its potential use and suitability for this problem. The first step is to translate the eigenvalue differential problem into an algebraic approximated eigenvalues problem. In a second step, making use of symbolic computations, we arrive at the exact polynomial expression of the determinant of the algebraic problem matrix, allowing us to get high accuracy approximations of differential eigenvalues.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12