| 带扩散项四阶抛物方程一类新的交替分组显格式 |
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| 引用本文： | 郭阁阳,刘播.带扩散项四阶抛物方程一类新的交替分组显格式[J].数学的实践与认识,2012,42(10):185-191. |
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| 作者姓名： | 郭阁阳 刘播 |
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| 作者单位： | 1. 天津职业技术师范大学理学院,天津,300222
2. 吉林大学数学学院,吉林长春,130012 |
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| 基金项目： | 天津市自然科学基金，天津职业技术师范大学校科研基金 |
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| 摘 要： | 首先给出逼近带扩散项四阶抛物方程初边值问题一类非对称差分格式,利用该组非对称格式构造了一类新的交替分组显格式算法,并给出了截断误差分析和绝对稳定性结论,最后给出数值实验.
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| 关 键 词： | 带扩散项四阶抛物方程 非对称差分格式 并行计算 绝对稳定性 |
The Alternating Group Explicit Scheme for the Fourth-Order Parabolic Equation with Diffusion |
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| GUO Ge-yang
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LIU Bo.The Alternating Group Explicit Scheme for the Fourth-Order Parabolic Equation with Diffusion[J].Mathematics in Practice and Theory,2012,42(10):185-191. |
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| Authors: | GUO Ge-yang LIU Bo |
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| Institution: | 1.College of Science,Tianjin University of Technology and Education,Tianjin 300222,China) (2.College of Mathematics,Jilin University,Changchun 130012,China) |
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| Abstract: | In this paper,a group of asymmetric difference schemes to approach the fourthorder parabolic equation with diffusion is given.According to these schemes,an alternating group explicit scheme is constructed,which is absolutely stable.Then,some numerical experiments are reported. |
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| Keywords: | The fourth-order parabolic equation with diffusion Asymmetric difference scheme Parallel computation Unconditional stability |
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