Numerical Investigation of Multiple Solutions for Caputo Fractional-Order-Two Dimensional Magnetohydrodynamic Unsteady Flow of Generalized Viscous Fluid over a Shrinking Sheet Using the Adams-Type Predictor-Corrector Method
Abstract
:1. Introduction
2. Problem Formulation
2.1. Boundary Layer Governing Equations
2.2. Preliminaries on the Caputo Fractional Derivatives
2.3. Solution Methodology
3. Results and Discussion
4. Conclusion Remarks
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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M | S | Fang | Zhang [23] | Present | Results |
---|---|---|---|---|---|
1st Solution | 2nd Solution | 1st Solution | 2nd Solution | ||
0.5 | 3 | 2.8228756 | 0.1771243 | 2.8203848 | −0.3554574 |
2 | 1.7071067 | 0.2928932 | 1.7063214 | 0.2845535 | |
0 | 3 | 2.6180339 | 0.3819660 | 2.6165735 | −0.2181474 |
2 | 1 | 1 | 1.0019038 | 0.94503648 |
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Lund, L.A.; Omar, Z.; Alharbi, S.O.; Khan, I.; Nisar, K.S. Numerical Investigation of Multiple Solutions for Caputo Fractional-Order-Two Dimensional Magnetohydrodynamic Unsteady Flow of Generalized Viscous Fluid over a Shrinking Sheet Using the Adams-Type Predictor-Corrector Method. Coatings 2019, 9, 548. https://doi.org/10.3390/coatings9090548
Lund LA, Omar Z, Alharbi SO, Khan I, Nisar KS. Numerical Investigation of Multiple Solutions for Caputo Fractional-Order-Two Dimensional Magnetohydrodynamic Unsteady Flow of Generalized Viscous Fluid over a Shrinking Sheet Using the Adams-Type Predictor-Corrector Method. Coatings. 2019; 9(9):548. https://doi.org/10.3390/coatings9090548
Chicago/Turabian StyleLund, Liaquat Ali, Zurni Omar, Sayer O. Alharbi, Ilyas Khan, and Kottakkaran Sooppy Nisar. 2019. "Numerical Investigation of Multiple Solutions for Caputo Fractional-Order-Two Dimensional Magnetohydrodynamic Unsteady Flow of Generalized Viscous Fluid over a Shrinking Sheet Using the Adams-Type Predictor-Corrector Method" Coatings 9, no. 9: 548. https://doi.org/10.3390/coatings9090548