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此文应用Fourier方法和能量不等式研究了常系数和变系数的对流扩散方程在迎风差分格式的情形下数值解的稳定性,所得结果对实际计算有着重要的意义。
This paper studies the stability of numerical solutions of convection-diffusion equations with constant coefficients and variable coefficients under the windward difference scheme by Fourier method and energy inequality. The results obtained are of great significance for practical calculation.