| 抛物型偏微分方程的多步有限差分法计算方法 |
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| 引用本文： | 潘树龙,孙维夫.抛物型偏微分方程的多步有限差分法计算方法[J].烟台职业学院学报,2011,17(1):76-80. |
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| 作者姓名： | 潘树龙 孙维夫 |
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| 作者单位： | 烟台职业学院,山东,烟台,264670 |
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| 摘 要： | 有限差分方法是求解偏微分方程的重要数值方法之一。抛物方程有限差分法可分为显格式和隐格式,另一方面也可分为单步法和多步法.本文阐明多步法的特点,考察了它们的稳定及收敛性。通过用Matlab编程计算,将隐式多步法应用于求解实例.。
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| 关 键 词： | 抛物方程 有限差分法 隐式差分格式 多步法 Matlab |
Multistep Finite Difference Methods for Parabolic Partial Differential Equations |
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| PAN Shu-long,SUN Wei-fu.Multistep Finite Difference Methods for Parabolic Partial Differential Equations[J].Journal of Yantai Vocational College,2011,17(1):76-80. |
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| Authors: | PAN Shu-long SUN Wei-fu |
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| Institution: | PAN Shu-long,SUN Wei-fu(Yantai Vocational Colleage,Yantai 264670,China) |
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| Abstract: | Finite difference method is one of the numerical methods solving partial differential equations.These methods involve explicit and implicit methods,or onestep methods and multistep methods.In this paper we discuss properties of multistep methods,and investigate their stability and astringency.We apply implicit multistep methods to the solving instance by Matlab programming. |
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| Keywords: | parabolic equations finite difference method implicit schemes multistep method Matlab |
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