Non-Polynomial Collocation Spectral Scheme for Systems of Nonlinear Caputo-Hadamard Differential Equations

• Type: Article in International Scientific Journal
• Date: 2024

Authors

Zaky, MA (Author) Other; Ameen, IG (Author) Other; Babatin, M (Author) Other; Akgül, A (Author) Other; Hammad, M (Author) Other; António Mendes Lopes (Author) FEUP

Journal

The Journal is awaiting validation by the Administrative Services.

Title: FRACTAL AND FRACTIONAL

Vol. 8

Final page: 262

ISSN: 2504-3110

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: P-010-GZP

DOI: 10.3390/fractalfract8050262

Abstract (EN): In this paper, we provide a collocation spectral scheme for systems of nonlinear Caputo-Hadamard differential equations. Since the Caputo-Hadamard operators contain logarithmic kernels, their solutions can not be well approximated using the usual spectral methods that are classical polynomial-based schemes. Hence, we construct a non-polynomial spectral collocation scheme, describe its effective implementation, and derive its convergence analysis in both L2 and L infinity. In addition, we provide numerical results to support our theoretical analysis.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 16