摘要
可用单内点子域精细积分法 ,求解二维抛物型方程初值问题 .当单内点精细积分中的传递函数即指数函数用 Taylor展开式的一阶近似来替代时 ,精细积分转化为差分方程 .研究这一对应关系 ,使各种常见差分格式均找到对应的单点精细积分格式 。
The initial-value problem of two-dimensional parabolic equation can be solved by using meticulous integration of single inner point subdomain. The meticulous integration is turned into difference equation in case transfer function, i.e. exponential function in meticulous integration of single inner point is replaced by Taylor expansion. This correspondence is studied, and each common difference scheme finds its corresponding meticulous integration of single point, and the unified expression is obtained in the general formula for meticulous integration of single point.
出处
《华侨大学学报(自然科学版)》
CAS
2002年第1期5-11,共7页
Journal of Huaqiao University(Natural Science)
基金
福建省自然科学基金资助项目