Direct computational approaches to a magnetohydrodynamic model system

Summary The magnetohydrodynamic model system is integrated numerically as an initial-value problem. The system is integrated using two-different numerical methods. The first uses a special finite difference scheme introduced byBellman. The second makes use of the classical method of converting a partial differential equation into an infinite system of ordinary differential equations. The formulation for each computational scheme is discussed and numerical example presented.With 10 Figures