摘要
本文讨论了一类具有较强应用背景的二维半线性伪抛物方程,设计了求解此类方程对应的初边值问题的隐式差分格式。基于离散泛函理论和先验估计证明了相应差分格式解的存在唯一性、收敛性和稳定性。最后针对实例给出了数值模拟结果。
A type of 2D semi-linear pseudo-parabolic equation is considered, which has wide application areas. An implicit difference scheme corresponding to the IBVP of this equation is designed. By the discrete functional theory and prior estimate, the existence arid uniqueness of the solution to the nonlinear scheme, the convergence and the stability of the scheme are all proved. Some numerical results are finally presented for illustration.
出处
《工程数学学报》
CSCD
北大核心
2006年第1期187-190,共4页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金天元基金(A0324647)河南省高校杰出科研人才创新工程项目(2003KJCX008)
关键词
伪抛物方程
有限差分办法
数值模拟
pseudo-parabolic equations
finite difference Inethod
numerical simulation