| 一类变系数抛物方程的有限差分区域分解算法 |
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| 引用本文： | 张明达,孙健凇.一类变系数抛物方程的有限差分区域分解算法[J].北华大学学报(自然科学版),2005,6(2):97-100. |
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| 作者姓名： | 张明达 孙健凇 |
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| 作者单位： | 北华大学,师范理学院,吉林,吉林,132033;哈尔滨工程大学,理学院,黑龙江,哈尔滨,150001 |
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| 摘 要： | 讨论了一类数值求解变系数抛物方程的具并行本性的有限差分区域分解算法,通过引进内界点,将求解区域分裂成若干子区域.在子区域间内界点上的值可显式求解,一旦这些值被计算出来,各子区域上完全可并行求解.得到了稳定性条件和最大模误差估计.该格式有令人满意的稳定性,并有较高的收敛阶.
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| 关 键 词： | 有限差分 区域分解 变系数抛物方程 |
| 文章编号： | 1009-4822(2005)02-0097-04 |
| 修稿时间： | 2004年10月20日 |
A Finite Difference Domain Decomposition Algorthm for Parabolic Equation with Variable Coefficent |
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| ZHANG Ming-da,SUN Jian-song.A Finite Difference Domain Decomposition Algorthm for Parabolic Equation with Variable Coefficent[J].Journal of Beihua University(Natural Science),2005,6(2):97-100. |
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| Authors: | ZHANG Ming-da SUN Jian-song |
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| Abstract: | A finite difference scheme with intrinsic parallelism for numerically solving the paraboilc equation with variable coefficient is studied. The problem is divided into sub-domains by introducing interface points. Interface values between sub-domains are found by explicit formulas, once these values are calculated, sub-domain problems can be solved in parallel. Stability condition and maximum norm error estimates for these procedures are derived, which demonstrate that our schemes have satisfactory stability and higher convergence orfer. |
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| Keywords: | Finite difference Domain decomposition Parabolic equation with variable coefficient |
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