A New Computational Method Based on Integral Transform for Solving Linear and Nonlinear Fractional Systems

Malo, Diyar Hashim; Masiha, Rogash Younis; Murad, Muhammad Amin Sadiq; Abdulazeez, Sadeq Taha

doi:10.15642/mantik.2021.7.1.9-19

Cited by 8 publications

(1 citation statement)

References 21 publications

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“…(15) associated with the following boundary conditions: (16) where represents the Caputo derivative (Malo et al, 2021;Murad, 2022) of and the functions are continuous functions in .…”

Section: Collocation Spline Methodsmentioning

confidence: 99%

Numerical Study of Stagnation Point Flow of Casson Fluid Over a Continuous Moving Surface

Murad¹,

Hamasalh²,

Ismael³

2023

Front. Heat Mass Transf.

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In this paper, we study the behavior of heat transfer of Casson fluid at the magnetohydrodynamic stagnation point with thermal radiation over a continuous moving sheet. The appropriate similarity transfer is used to transfer the governing differential equations into the ordinary differential equation and then solved by the collocation method based on spline function. The obtained results are investigated with the existing literature by direct comparison. We found that an increment in the value of the shrinking parameter, magnetic parameter, and Casson fluid parameter enhances the velocity distribution and depreciate the temperature profile both Casson and Newtonian fluids. Furthermore, the thermal distribution depreciates with increasing the value of Prandtl number and radiation parameter for Casson and Newtonian fluids. Finally, the impact of the emerged physical parameters on the velocity and temperature distributions are illustrated via tables and illustrative graphs.

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“…(15) associated with the following boundary conditions: (16) where represents the Caputo derivative (Malo et al, 2021;Murad, 2022) of and the functions are continuous functions in .…”

Section: Collocation Spline Methodsmentioning

confidence: 99%