| 色散方程的四点显式差分格式 |
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| 引用本文： | 黎益. 色散方程的四点显式差分格式[J]. 应用数学和力学, 1993, 14(3): 219-223 |
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| 作者姓名： | 黎益 |
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| 作者单位： | 四川大学数学系 |
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| 摘 要： | 本文对色散方程ut=au>xxx构造了一类高稳定性的、在中间层涉及四个网格点的三层显式差分格式,其局部截断误差为O(τ+h),其稳定条件为|R|=|α|τ/h3≤0.25至|R|≤10,它们较大地改善了同类格式的稳定条件|R|≤0.25[1].
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| 关 键 词： | 色散方程 四点显式差分格式 高高稳定性 |
Four-Point Explicit Difference Schemes for the Dispersive Equation |
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| Li Yi. Four-Point Explicit Difference Schemes for the Dispersive Equation[J]. Applied Mathematics and Mechanics, 1993, 14(3): 219-223 |
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| Authors: | Li Yi |
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| Affiliation: | Department of Mathematics, Sichuan University, Chenydu |
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| Abstract: | A class of three-level explicit difference shcemes for the dispersive equation ut= au are established. These schemes have higher stability and involve four mesh points at the middle level. Their local, truncation errors are 0(r+h) and stability conditions are from |R|<0.25 to |R|<10, where R = ar/h3, which is much better than |R|<0.25. |
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| Keywords: | dispersive equation four-point explicit difference scheme higher stability |
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