The magnetohydrodynamic equations are second order nonlinear partial differential equations which are coupled by fluid velocity and magnetic fields and we consider to apply the Newton's algorithm to solve them. It is well known that the choice of a proper initial guess is critical to assure the convergence of Newton's iterations in solving nonlinear partial differential equations. In this paper, we provide a good initial guess for Newton's algorithm when it is applied for solving magnetohydrodynamic equations.
Bibliographical noteFunding Information:
First author’s work was supported by basic science program through the National Research Foundation of Korea (NRF) under Grant Number 2013R1A1A4A01007411 . Second author’s work was supported by basic science research program through the NRF of Korea 2015R1D1A1A01056909 .
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics