以下为句子列表：
英文: Abstract: This paper discusses the different differential methods of Alternating Direction Implicit Method with initial condition and boundary conditions in detail.
中文: 文摘:详细地研究了各种情形的求解二维抛物型方程初边值问题的交替方向隐式差分法。
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英文: By the method, the two-dimensional implicit method can be induced in soluting tridiagonal linear equation group.
中文: 这种方法可以将二维隐式方法归结为求解三对角线性方程组。
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