泊松方程的五点差分外推法  

FIVE-POINT DIFFERENCE EXTRAPOLATION METHOD FOR POISSONS EQUATION

作　　者：朱爱玲[1] 刘兴华[1] 

机构地区：[1]山东师范大学数学科学学院,济南250014

出　　处：《山东师范大学学报（自然科学版）》2016年第2期57-59,共3页Journal of Shandong Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11171193);山东省科技发展计划资助项目(2012G0030007);山东省自然科学基金资助项目(ZR2014AM033)

摘　　要：给出了泊松方程在矩形网格剖分下的五点差分外推法,证明了该方法是四阶方法.通过数值算例,验证了该方法的精确度和有效性,并从计算量、收敛阶和适用性等方面与九点差分法进行了比较.Based on the extrapolation principle and five - point difference scheme of Poisson＇s equation, an accelerated method is formed in a rectangular grid and proved to be fourth - order. Through numerical example, the effectiveness and accuracy of this method are verified and compared with the nine - point difference method in the amount of calculation, convergence order and applicability.

关 键 词：泊松方程 五点差分格式 五点差分外推法 收敛阶 九点差分法 

分 类 号：O241.82[理学—计算数学]