| 抛物型方程的一种高阶并行差分格式 |
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| 引用本文： | 孙凯,王文洽.抛物型方程的一种高阶并行差分格式[J].山东大学学报(理学版),2009,44(2):39-44. |
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| 作者姓名： | 孙凯 王文洽 |
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| 作者单位： | 山东大学数学学院,山东,济南,250100
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| 摘 要： | 构造了求解抛物方程的高阶并行差分格式。首先,通过前三个时间层内界点的值及四阶紧致格式并行计算子区域的值,然后再用区域边界点显式计算内界点的值,并证明算法的稳定性条件至少为23+16, 收敛精度为四阶。最后用数值算例验证算法的稳定性及收敛性,数值结果表明此算法具有比其他算法更好的精度。
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| 关 键 词： | 抛物型方程 并行差分格式 四阶精度 区域分解算法 |
| 收稿时间： | 2008-10-16 |
A high-order parallel difference scheme for a parabolic equation |
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| SUN Kai,WANG Wen-qia.A high-order parallel difference scheme for a parabolic equation[J].Journal of Shandong University,2009,44(2):39-44. |
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| Authors: | SUN Kai WANG Wen-qia |
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| Institution: | School of Mathematics, Shandong University, Jinan 250100, Shandong, China |
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| Abstract: | A high order parallel finite difference algorithm of a parabolic equation was presented.First,the values of the previous three levels at the interface points were combined with the compact scheme to solve the values of sub-domains in parallel,then the values at the interface points were computed by the compact scheme.The stability bound of the procedure was derived to be at least 23+16,and the convergence rate was proved to be of order four.Numerical examples show that this method has much better accuracy t... |
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| Keywords: | parabolic equation parallel difference algorithm fourth-order accuracy domain decomposition methods |
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