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.
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics