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一类四阶差分方程边值问题及分形曲面的生成
BOUNDARY VALUE PROBLEM OF A FOURTH ORDER DIFFERENCE EQUATION AND THE GENERATION OF FRACTAL SURFACE
【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.
【Abstract】 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.
【关键词】 差分方程的边值问题;
分形曲面的生成和插值;
【Key words】 Boundary value problem of difference equation; generation and interpolation of fractal surface;
【Key words】 Boundary value problem of difference equation; generation and interpolation of fractal surface;
【基金】 国家自然科学基金
- 【文献出处】 应用数学学报 ,ACTA MATHEMATICAE APPLICATAE SINICA , 编辑部邮箱 ,1997年03期
- 【分类号】O175
- 【被引频次】11
- 【下载频次】75