A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay

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

Authors

P. Mokhtary (Author) Other; B. P. Moghaddam (Author) Other; António M. Lopes (Author) FEUP; J. A. Tenreiro Machado (Author) Other

Journal

Title: Numerical Algorithms

Vol. 83 No. 3

Pages: 987-1006

ISSN: 1017-1398

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 0 Citations

ISI Web of Science

Scopus - 7 Citations

Other information

Authenticus ID: P-00Q-KEH

DOI: 10.1007/s11075-019-00712-y

Abstract (EN): This paper develops a well-conditioned Jacobi spectral Galerkin method for the analysis of Volterra-Hammerstein integral equations with weakly singular kernels and proportional delay. A recursive formula reduces the computational load when approximating the solutions of badly conditioned and complex non-linear algebraic systems. Additionally, the convergence properties of the method are also investigated. The spectral accuracy is obtained regardless of the discontinuities in the derivatives solution. Three examples illustrate the performance of the new approach. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20