学术
国际标准刊号：ISSN 1001-9847
国内统一刊号：CN 42-1184
摘 要:
本文构造了一类半线性抛物方程初边值问题的紧差分格式．利用离散能量估计证明了差分格式解的存在唯一性、收敛性和无条件稳定性，并给出了在离散L^∞模意义下收敛阶数为O（h^4＋τ^2）．数值例子验证了理论分析结果。[著者文摘]
文章出处:
《应用数学》-2007年20卷2期 -421-426页
Mathematica Applicata
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2007）02-0421-06
[参考文献]
A Compact Difference Scheme for a Class of Semilinear Parabolic Equations
WU Hong-wei （Department of Mathematics, Southeast University, Nanjing 210096, China）
Abstract:
In this paper, a linearized two-level compact finite difference scheme is presented for a class of semilinear parabolic equations. Existence and uniqueness of the difference solution are proved. It is also shown that the solution of compact difference scheme is convergent and unconditional stable in discrete norm L^∞ and the convergence order is O（h^4＋τ^2）. In addition, a numerical experiment illustrates the results of the presented method.[著者文摘]
Key words:
Semilinear parabolic equation; Compact difference scheme~ Convergence Stability
收稿日期: 2006-11-06
基金资助:
国家自然科学基金资助项目（10471023）
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