It is of practical interest to give an efficient numerical method for solving the equations.

对这类方程给出一种有效的数值求解方法具有一定的实际意义。

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Standard numerical methods solving these equations often produce nonphysical oscillations, and upwind methods usually cause excessive numerical diffusion which smear the sharp fronts.

求解一般抛物方程所采用的标准有限元或有限差分法会产生难以接受的数值震荡和数值弥散；

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When solving different ordinary differential equations, we may take the analytical solution or numerical solution.

不同类型的常微方程可以采用解析解法或者数值解法。

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