%0 Journal Article
%T Numerical solution for solving magnetohydrodynamic (MHD) flow of nanofluid by least squares support vector regression
%J Computational Mathematics and Computer Modeling with Applications (CMCMA)
%I Shahid Beheshti University
%Z 2783-4859
%A Pakniyat, Aida
%D 2022
%\ 12/01/2022
%V 1
%N 2
%P 104-121
%! Numerical solution for solving magnetohydrodynamic (MHD) flow of nanofluid by least squares support vector regression
%K Cylinder, Spectral methods
%K Least squares support vector machine
%K Magnetohydrodynamic (MHD)
%K Nonlinear ODE
%K fractional Hermite functions
%K Semi-infinite
%R 10.52547/CMCMA.1.2.104
%X This paper introduces a new numerical solution based on the least squares support vector machine (LS-SVR) for solving nonlinear ordinary differential equations of high dimensionality. We apply the quasilinearization method to linearize the magnetohydrodynamic (MHD) flow of nanofluid around a stretching cylinder, thereby transforming it into a linear problem. We then utilize LS-SVR with fractional Hermite functions as basis functions to solve this problem over a semi-infinite interval. Our numerical results confirm the effectiveness of this approach.
%U https://cmcma.sbu.ac.ir/article_103630_82223eb2e1c99c9ffd046d302c15d050.pdf