| 变系数热传导方程的两层绝对稳定差分格式 |
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| 引用本文： | 王晓峰,王守印.变系数热传导方程的两层绝对稳定差分格式[J].平原大学学报,2009(1). |
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| 作者姓名： | 王晓峰 王守印 |
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| 作者单位： | 武汉大学数学与统计学院;新乡学院数学系; |
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| 基金项目： | 国家自然科学基础研究基金资助项目(2003CB415200) |
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| 摘 要： | 研究了二维变系数非齐次热传导方程的两层绝对稳定的差分格式问题。首先运用Pade逼近导出了差分格式,给出了差分格式的截断误差;讨论了差分格式的绝对稳定性和收敛性,且收敛阶为O(2τ+h4);最后给出了数值例子,数值结果和理论结果是吻合的。
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| 关 键 词： | 显式差分格式 绝对稳定 截断误差 |
An Absolutely Stable and 2-Layered Difference Scheme for the Heat Conduction Equations with Variable Coefficients |
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| WANG Xiao-feng,WANG Shou-yin.An Absolutely Stable and 2-Layered Difference Scheme for the Heat Conduction Equations with Variable Coefficients[J].Journal of Pingyuan University,2009(1). |
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| Authors: | WANG Xiao-feng WANG Shou-yin |
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| Institution: | 1.School of Mathematics and Statistics;Wuhan University;Wuhan;430072;China;2.Department of Mathematics;Xinxiang University;Xinxiang;453000;China |
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| Abstract: | A difference scheme of high accuracy for solving the two-dimensional variable coefficient heat conduction equations is presented.Firstly,a compact difference scheme is derived by using Pade convergence and an error estimate is given in detail.Secondly,the stability and convergence of the scheme are achieved by using Fourier method.Finally,a numercial example demonstrates the theoretical results. |
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| Keywords: | explicit difference scheme absolute stability truncation error |
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