A space-time spectral approximation for solving nonlinear variable-order fractional sine and Klein-Gordon differential equations

• Type: Article in International Scientific Journal
• Date: 2018

Authors

E. H. Doha (Author) Other; M. A. Abdelkawy (Author) Other; A. Z. M. Amin (Author) Other; António M. Lopes (Author) FEUP

Journal

Title: COMPUTATIONAL & APPLIED MATHEMATICS

Vol. 37 No. 5

Pages: 6212-6229

ISSN: 1807-0302

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 0 Citations

ISI Web of Science

Scopus - 7 Citations

Other information

Authenticus ID: P-00P-WGE

DOI: 10.1007/s40314-018-0695-2

Abstract (EN): In this paper, we propose an efficient spectral numerical method for solving sine and Klein-Gordon nonlinear variable-order fractional differential equations with the initial and Dirichlet boundary conditions. The approach is based on the shifted Legendre-Gauss and Chebyshev-Gauss collocation methods. The Caputo fractional derivative of variable order is adopted, and the original problems are reduced to systems of algebraic equations. The validity and effectiveness of the method is demonstrated by means of several numerical examples.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 18