| 一类黏性波动方程的局部一维差分格式 |
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| 引用本文： | 杨亦男,王同科. 一类黏性波动方程的局部一维差分格式[J]. 天津师范大学学报(自然科学版), 2008, 28(2): 44-47 |
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| 作者姓名： | 杨亦男 王同科 |
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| 作者单位： | 天津师范大学,数学科学学院,天津,300387 |
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| 基金项目： | 杨亦男（1982-）,女,硕士研究生. |
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| 摘 要： | 针对二维黏性波动方程，利用Crank-Nicolson格式建立了在时间和空间方向具有二阶精度的差分格式，通过添加扰动项进行算子分解，得到了一类局部一维差分格式，证明了该格式按离散L^2模具有二阶收敛精度．具体算例验证了算法的有效性和精确性．
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| 关 键 词： | 黏性波动方程 局部一维有限差分格式 收敛性 误差估计 |
| 文章编号： | 1671-1114(2008)02-0044-04 |
| 修稿时间： | 2007-10-11 |
A locally one-dimensional finite difference scheme for a class of viscous wave equations |
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| YANG Yi'nan,WANG Tongke. A locally one-dimensional finite difference scheme for a class of viscous wave equations[J]. Journal of Tianjin Normal University(Natural Science Edition), 2008, 28(2): 44-47 |
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| Authors: | YANG Yi'nan WANG Tongke |
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| Affiliation: | (College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China) |
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| Abstract: | By using Crank-Nicolson method a finite difference scheme with two-order accuracy in space and time is proposed for the viscous wave equations of two-dimension. After perturbing a locally one-dimensional finite difference scheme is obtained by decomposing the difference scheme. The scheme is confirmed two-order convergence accuracy in discrete L2 norm. A numerical example proves its accuracy and validity. |
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| Keywords: | viscous wave equatiom locally one-dimensional finite difference scheme~ convergence~ error estimate |
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