Numerical solution for solving magnetohydrodynamic (MHD) flow of nanofluid by least squares support vector regression | ||
Computational Mathematics and Computer Modeling with Applications (CMCMA) | ||
دوره 1، شماره 2، اسفند 2022، صفحه 104-121 اصل مقاله (443.62 K) | ||
نوع مقاله: Regular paper | ||
شناسه دیجیتال (DOI): 10.52547/CMCMA.1.2.104 | ||
نویسنده | ||
Aida Pakniyat* | ||
Department of Computer and Data Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Cylinder, Spectral methods؛ Least squares support vector machine؛ Magnetohydrodynamic (MHD)؛ Nonlinear ODE؛ fractional Hermite functions؛ Semi-infinite | ||
آمار تعداد مشاهده مقاله: 162 تعداد دریافت فایل اصل مقاله: 226 |