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作者根据燃烧方程解的特点,构造了一类全隐非均匀网格差分格式,证明了差分格式数值解的存在性和收敛性,并通过数值试验验证了理论分析的正确性,得到的数值解精度明显优于均匀网格差分格式.Abstract：In this paper, a new difference scheme with non-uniform mesh is solution. The existence and convergence of difference solution are both proved. Numerical exp