摘要
本文研究一个二变元四阶差分方程过值问题，证明了此问题的适定性，揭示了解的结构．经过证明和数值模拟，可以作为分形曲面生成和插值的一种新方法．
In this paper, a boundary value problem of fourth order difference equation is considered. The problem is proved to be well posed and the geometrical construction of the solution is obtained. Using the construction obtained, a new method for the generation and interpolation of fractal surface is given.
出处
《应用数学学报》
CSCD
北大核心
1997年第3期386-393,共8页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金
关键词
差分方程
边值问题
分形曲面
插值
Boundary value problem of difference equation
generation and interpolation of fractal surface
