二维分数阶Volterra积分方程的修正block-by-block方法  

Modified block-by-block method for two-dimensional fractional Volterra integral equations

作　　者：马群长 曹俊英[1] 孙涛[2] 王自强[1] 

机构地区：[1]贵州民族大学理学院,贵阳550025 [2]上海金融学院统计与数学学院,上海201209

出　　处：《应用数学与计算数学学报》2015年第2期162-170,共9页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金资助项目(11401380;11426074);贵州省科技厅自然科学基金资助项目([2014]2098;[2013]2144)

摘　　要：基于经典block-by-block方法的思想,构造了二维分数阶Volterra积分方程的一个修正block-by-block数值求解格式.该方法的优点在于只需求解u(x1,y),u(x2,y),u(x,y_1)和u(x,y_2),其他未知量均不需要耦合求解.数值算例表明该格式具有较好的逼近性.Based on the classical block-by-block approach, a modified block-by- block numerical scheme is proposed for two-dimensional fractional Volterra inte- gral equations. The advantage of this approach is that it is necessary to derive the coupling of the unknown solutions at each block step with an exception only at u（xl,y）, u（x2,y）, u（x, yl）, and u（x,y2）. Numerical examples show that the numerical solution approximates to the exact solution well.

关 键 词：二维分数阶Volterra积分方程 修正block-by-block方法 数值格式 

分 类 号：O241.82[理学—计算数学]