高维抛物型方程精细积分法的稳定性与相容性  

Stability and Consistence of High Precise Integration Method for Parabolic P.D.E in Multi-dimension

作　　者：曾文平[1] 

机构地区：[1]华侨大学数学系,福建泉州362011

出　　处：《莆田学院学报》2004年第3期14-18,共5页Journal of putian University

摘　　要：首先建立高维抛物型方程的单点子域显式精细积分法;然后由稳定性分析表明单点子域精细积分法相对于差分法的优越性,并通过相容性分析,指出子域积分法的局限性;最后数值例子表明理论分析是正确的。First, One-point subdomain high precise explicit integration method is established for parabolic P.D.E in multi-dimension . Second, comparisons are made on stability analysis, to show the superiority of 0ne-point subdomain precise integration method proposed in this paper to the finite difference integration schemes. And point out the limit of precise integration method by consistence analysis. Finally, numerical examples show the theoretical analysis is right.

关 键 词：高维抛物型偏微分方程 稳定性 相容性 差分法 单点子域精细积分法 

分 类 号：O175.26[理学—数学]