Collocation method based on rational Legendre functions for solving the magneto-hydrodynamic flow over a nonlinear stretching sheet

Abbas Saadatmandi and Zeinab Sanatkar

Applied Mathematics and Computation, 2018, vol. 323, issue C, 193-203

Abstract: In this paper, a direct collocation method based on rational Legendre functions is proposed for solving the magneto-hydrodynamic (MHD) boundary layer flow over a nonlinear stretching sheet. Here, we use rational Legendre–Gauss–Radau nodes and transformed Hermite–Gauss nodes as interpolation points. We present the comparison of this work with some other numerical results. Moreover, residual norm shows that the present solutions are accurate and applicable.

Keywords: Boundary layer equation; MHD flow; Rational Legendre functions; Collocation method; Hermite–Gauss points (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:323:y:2018:i:c:p:193-203

DOI: 10.1016/j.amc.2017.11.060

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