Numerical solution for solving magnetohydrodynamic (MHD) flow of nanofluid by least squares support vector regression

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.

Keywords:

Cylinder , Spectral methods , Least squares support vector machine , Magnetohydrodynamic (MHD) , Nonlinear ODE , fractional Hermite functions , Semi-infinite