摘要
设μ是热传导方程■的解。设u_j^(2n)=u~τ(x_j,t_(2n))是上述热传导方程差分格式的解,其形式为(?) 其中(?)已找到使上述差分格式稳定的r_1和r_2,且R>1。在上述条件下还得到了(?)v和w是不依赖于h和τ的有界函数,η~r是有界的网格函数。
Let u be the solution of the following heat-conduction equation (?)Let (?) be the solution of the following difference scheme to approxi-mate above heat-conduction equation (?)where (?), R=r_1+r_2. r_1 and r_2 are found to satisfyR>1 such that above difference scheme is stable. Under such condition the followingresult is obtained (?)where v and w are bounded functions independent of h and τ, (?) is bounded netfunction.
出处
《复旦学报（自然科学版）》
CAS
CSCD
北大核心
1989年第1期61-66,共6页
Journal of Fudan University：Natural Science
关键词
热传导方程
差分格式
外推法
heat-conduction equation
difference scheme
extrapolation.
