A Non-oscillatory Central Difference Scheme with Nonstaggered Grids for the 1-D Magnetohydrodynamics Equations

Based on piecewise linear reconstruction of cell averaged and a proper selection of numerical derivative,a class of two-order non-oscillatory central difference schemes with non-staggered grids for the one dimensional ideal magnetohydrodynamics equations is obtained.Two typical numerical examples are given to verify the advantages of high-resolution and non-oscillatory and ease to calculate of these schemes.