Spectral Collocation Technique for Solving Two-Dimensional Multi-Term Time Fractional Viscoelastic Non-Newtonian Fluid Model

• Type: Article in International Scientific Journal
• Date: 2023

Authors

Al-Shomrani, MM (Author) Other; Abdelkawy, MA (Author) Other; António Mendes Lopes (Author) FEUP

Journal

Title: Mathematics

Vol. 11

Final page: 2078

Publisher: MDPI

Indexing

ISI Web of Knowledge - 0 Citations

Scopus

Other information

Authenticus ID: P-00Y-B59

DOI: 10.3390/math11092078

Abstract (EN): Applications of non-Newtonian fluids have been widespread across industries, accompanied by theoretical developments in engineering and mathematics. This paper studies a two-dimensional multi-term time fractional viscoelastic non-Newtonian fluid model by using two autonomous consecutive spectral collocation strategies. A modification of the spectral approach is implemented, leading to an algebraic system of equations able to obtain an approximate symmetric solution for the model. Numerical examples illustrate the effectiveness of the technique in terms of accuracy and convergence.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 14