### Abstract

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.

Original language | English |
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Pages (from-to) | 1-10 |

Number of pages | 10 |

Journal | Journal of Computational and Applied Mathematics |

Volume | 309 |

DOIs | |

Publication status | Published - 2017 Jan 1 |

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### All Science Journal Classification (ASJC) codes

- Computational Mathematics
- Applied Mathematics

### Cite this

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*Journal of Computational and Applied Mathematics*, vol. 309, pp. 1-10. https://doi.org/10.1016/j.cam.2016.06.022

**Newton's algorithm for magnetohydrodynamic equations with the initial guess from Stokes-like problem.** / Kim, Sang Dong; Lee, Eunjung; Choi, Wonjoon.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Newton's algorithm for magnetohydrodynamic equations with the initial guess from Stokes-like problem

AU - Kim, Sang Dong

AU - Lee, Eunjung

AU - Choi, Wonjoon

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84977640221&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84977640221&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2016.06.022

DO - 10.1016/j.cam.2016.06.022

M3 - Article

AN - SCOPUS:84977640221

VL - 309

SP - 1

EP - 10

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

ER -