AN AUGMENTED-RBF METHOD FOR SOLVING FRACTIONAL STURM-LIOUVILLE EIGENVALUE PROBLEMS

• Type: Article in International Scientific Journal
• Date: 2015

Authors

Antunes, PRS (Author) Other; Ferreira, RAC (Author) Other

Journal

The Journal is awaiting validation by the Administrative Services.

Title: SIAM JOURNAL ON SCIENTIFIC COMPUTING

Vol. 37

Pages: A515-A535

ISSN: 1064-8275

Indexing

ISI Web of Knowledge - 9 Citations

Scopus - 18 Citations

Other information

Authenticus ID: P-00A-7XQ

DOI: 10.1137/140954209

Abstract (EN): In this work we construct numerical schemes, using radial basis functions (RBFs), to solve Sturm-Liouville eigenvalue problems in which the so-called fractional derivatives are involved. We take into account the fact that the solutions to such problems might be nonsmooth and, consequently, we augment the space generated by RBF base functions with some fractional polynomials to overcome this problem. We show through some examples the effectiveness of our method.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 21