| 求解二维抛物型方程的高精度显式格式 |
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| 引用本文： | 陈夏冰. 求解二维抛物型方程的高精度显式格式[J]. 河北大学学报(自然科学版), 1995, 0(4) |
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| 作者姓名： | 陈夏冰 |
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| 作者单位： | 福建龙岩师专数学系 |
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| 摘 要： | 本文建立了求解二维抛物型方程的一个新的高精度显式差分格式，其稳定性条件为截断误差达到Ｏ（（△ｔ）２＋△ｔ（△ｘ）２＋（△ｘ）４）。
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| 关 键 词： | 二维抛物型方程；高精度；显式差分格式；稳定性 |
A High Accuracy Explicit Difference Scheme for Solving the Equations of Two-Dimensional Parabolic Type |
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| Chen Xiabing. A High Accuracy Explicit Difference Scheme for Solving the Equations of Two-Dimensional Parabolic Type[J]. Journal of Hebei University (Natural Science Edition), 1995, 0(4) |
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| Authors: | Chen Xiabing |
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| Abstract: | In this paper, a new explicit difference schemes with high order accuracy for solving the equation of two-dimensional parabolic type is proposed. The stability condition and local truncation error for the scheme are r =△t(△x)2=△Lt / (△Ly)2 =.△t /(△y)< ando(△t)2+△t(△x)2+(△x)4)respectively . |
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| Keywords: | The equation of two-dimensional parabolic type High order accuracy Explicit difference scheme Stability |
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