| 双曲方程初边值问题的高精度差分格式 |
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| 引用本文： | 朱景辉.双曲方程初边值问题的高精度差分格式[J].厦门大学学报(自然科学版),1992,31(3):306-308. |
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| 作者姓名： | 朱景辉 |
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| 作者单位： | 厦门大学数学系 |
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| 摘 要： | 双曲型方程?u/?t=a*(?u/?x)的差分格式 G.K.S.稳定的讨论已在给出,分别给出了两个截断误差为O(k~2+K~4)的格式,虽然计算时可取k～k~2,以便使格式有更好的精度,但此时时间步长k变得非常小,故原格式实际上只有二阶精度,本文中给出了一个具有G.K.S.稳定的
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| 关 键 词： | 双曲型方程 初边值问题 差分格式 |
A Difference Skeme of High Accuracy for Hyperbolic Inital Boundary Value Problem |
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| Zhu Jinghui.A Difference Skeme of High Accuracy for Hyperbolic Inital Boundary Value Problem[J].Journal of Xiamen University(Natural Science),1992,31(3):306-308. |
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| Authors: | Zhu Jinghui |
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| Institution: | Dept. of Math. |
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| Abstract: | Centered difference approximation of fouth order both in space and time is applied to the mixed initial-boundary problem for hyperbolic equation. A method utilizing second order one-side difference at the boundary is showed to be stable and retain an overall third convergency order, finally, numerical example illustrate the success of the method for the problem. |
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| Keywords: | Differences Scheme G K S stability convergency Hyperbolic initial-boundary value problem |
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