| 一维抛物型方程的ETF-FDS-四阶紧致差分-MG算法 |
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| 引用本文： | 王慧蓉.一维抛物型方程的ETF-FDS-四阶紧致差分-MG算法[J].太原科技大学学报,2011,32(3):246-249. |
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| 作者姓名： | 王慧蓉 |
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| 作者单位： | 长治学院数学系,山西长治,046011 |
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| 摘 要： | 将ETF-FDS格式和四阶紧致差分格式应用于一维抛物型方程,提出了ETF-FDS-四阶紧致差分-MG格式,用傅里叶方法证明该格式是无条件稳定的,并使用了多重网格法.最后用数值试验验证了方法的精确性与可靠性.
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| 关 键 词： | 一维抛物型方程 ETF-FDS格式 四阶紧致差分 多重网格法 |
Fourth-order Compact Difference Formula-Multi-grid Algorithm of the One-dimensional Parabolic Equation |
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| WANG Hui-rong.Fourth-order Compact Difference Formula-Multi-grid Algorithm of the One-dimensional Parabolic Equation[J].Journal of Taiyuan University of Science and Technology,2011,32(3):246-249. |
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| Authors: | WANG Hui-rong |
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| Institution: | WANG Hui-rong(Department of Mathematics,Changzhi University,Shanxi Changzhi 046011,China) |
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| Abstract: | The ETF-FDS form and the fourth-order compact difference formula have been applied in the one-dimensional parabolic equation,and a ETF-FDS-Fourth-order compact difference Formula-Multi-grid Algorithm was proposed.The unconditional stability of this formula by Fourier Methods was proved and the multi-grid method was used.Moreover,the accuracy and reliability of such method was validated by the numerical experiment. |
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| Keywords: | one-dimensional parabolic equation the ETF-FDS form the fourth-order compact difference formula multi-grid method |
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