| 解三维热传导方程的一族对称含参数高精度的显式差分格式 |
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| 引用本文： | 孙鸿烈. 解三维热传导方程的一族对称含参数高精度的显式差分格式[J]. 纯粹数学与应用数学, 1998, 14(4): 25-29 |
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| 作者姓名： | 孙鸿烈 |
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| 作者单位： | 辽宁大学数学系 沈阳 |
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| 摘 要： | 对求解三维热传导方程利用待定参数法构造出一族对称的含参数的，截断误差为Ｏ（Δｔ＾１＋Δｘ＾４＋Δｙ＾４＋Δｚ＾４）的便于计算的三层显格式，并讨论了其条件稳定性。
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| 关 键 词： | 热传导方程 显式差分格式 截断误差 差分格式 |
A CLASS OF HIGH ACCURACY EXPLICIT SYMMETRICAL DIFFERENCE SCHEME WITH PARAMETERS FOR SOLVING PARABOLIC EQUATIONS OF THREE-DIMENSION |
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| Sun Honglie. A CLASS OF HIGH ACCURACY EXPLICIT SYMMETRICAL DIFFERENCE SCHEME WITH PARAMETERS FOR SOLVING PARABOLIC EQUATIONS OF THREE-DIMENSION[J]. Pure and Applied Mathematics, 1998, 14(4): 25-29 |
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| Authors: | Sun Honglie |
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| Abstract: | In this paper, a class of explicit three-level symmetrical difference schemes with parameters for solving parabolic partial differential equation of three-dimension will be considered. The stability condition and local truncation error for the schemes are discussed. |
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| Keywords: | parabolic partial differential equation of three dimension explicit difference scheme local truncation error condition stability |
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