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The basic properties of the Euler equations are learned by studying hyperbolic PDEs and the Steger- Warming flux vector splitting approach and the NND scheme are given. The NND scheme based on improved Steger-Warming flux vector splitting is used for the solution of 1-D and shown that the numerical oscillation is restrained .The finite difference method has higher order of accuracy and better efficiency.

Solution of the Euler Equations Based on Flux Vector Splitting