| 解双抛物型方程的新的恒稳差分格式 |
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| 引用本文： | 曾文平.解双抛物型方程的新的恒稳差分格式[J].福州大学学报(自然科学版),2003,31(4):388-390,400. |
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| 作者姓名： | 曾文平 |
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| 作者单位： | 华侨大学数学系,福建,泉州,362011 |
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| 基金项目： | 国务院侨办科研基金资助项目 (0 2QZR0 7) |
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| 摘 要： | 提出解双抛物型方程的新的具有三对角线型系数矩阵的三层隐式差分格式 ,其局部截断误差阶为O(τ2 +h2 +(τ h) 2 ) ,且证明它是绝对稳定的并可用追赶法求解 .数值例子表明该格式是有效的 ,理论分析是正确的 .
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| 关 键 词： | 双抛物型方程 绝对稳定 隐式差分格式 |
| 文章编号： | 1000-2243(2003)04-0388-03 |
| 修稿时间： | 2003年1月10日 |
A new stable difference scheme for solving equation of bi - parabolic type |
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| ZENG Wen-ping.A new stable difference scheme for solving equation of bi - parabolic type[J].Journal of Fuzhou University(Natural Science Edition),2003,31(4):388-390,400. |
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| Authors: | ZENG Wen-ping |
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| Institution: | ZENG Wen-ping (Department of Mathmatic, Huaqiao University, Quanzhou, Fujian 362011, China) |
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| Abstract: | For solving equation of bi-parabolic type, the author advances a new three-layered implicit difference scheme with matrix of coefficients which is a tri-diagonal type, and the order of local truncation error is 2-order accuracy. This scheme is absolutely stable and can be solved by speed-up method. It is shown by numerical example to be effective, and theoretical analysis is correct. |
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| Keywords: | bi-parabolic type equation absolutely stable implicit difference scheme |
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