| 一类二维抛物型方程的有限差分方法 |
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| 引用本文： | 舒阿秀. 一类二维抛物型方程的有限差分方法[J]. 高师理科学刊, 2013, 0(3) |
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| 作者姓名： | 舒阿秀 |
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| 作者单位： | 安庆师范学院数学与计算科学学院,安徽 安庆,246011 |
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| 基金项目： | 安徽省教育厅自然科学基金重点项目(KJ2010A224)；安庆师范学院青年科研基金项目 |
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| 摘 要： | 针对一类二维抛物型方程,建立了一个在空间和时间方向上均具有二阶精度的有限差分格式,并分析其稳定性.比较以往算法,该格式具有精度相对较高,无条件稳定等优点.
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| 关 键 词： | 二维抛物型方程 有限差分格式 稳定性 |
A finite difference method for a kind of two-dimensional parabolic equation |
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| SHU A-xiu. A finite difference method for a kind of two-dimensional parabolic equation[J]. Journal of Science of Teachers＇College and University, 2013, 0(3) |
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| Authors: | SHU A-xiu |
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| Abstract: | A finite difference scheme with accuracies of second order in space and in time was constructed for a kind of two-dimensional parabolic equation,the stability was analysised.Compared to traditional algorithms,the scheme have high accuracy and unconditional stability. |
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| Keywords: | two-dimensional parabolic equation finite difference scheme stability |
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