Spectral collocation technique for solving fractional generalized Cattaneo model

M. A. Abdelkawy, E. M. Soluma, A. H. Tedjani and E. I. Hassan
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M. A. Abdelkawy: Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia†Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef 2722165, Egypt
E. M. Soluma: Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia†Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef 2722165, Egypt
A. H. Tedjani: Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia
E. I. Hassan: Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia

International Journal of Modern Physics C (IJMPC), 2023, vol. 34, issue 12, 1-15

Abstract: This paper discusses a numerical study of a category of fractional generalized Cattaneo models. Non-Newtonian fluids have been widely used in engineering and industry throughout the last decades. The above model is treated using two autonomous consecutive spectral collocation strategies. For the current model, our technique has proven to be more accurate, efficient, and workable. The analysis indicates that the spectral method is exponentially convergent.

Keywords: Fractional generalized Cattaneo model; collocation method; spectral method; Gauss-type quadrature; modern technologies (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0129183123501553

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