Adomian分解法求解非线性分数阶Volterra积分方程  

The Adomian Decomposition Method for Sloving Nonlinear Volterra Integral Equations of Fractional Order

作　　者：全晓静[1] 韩惠丽[1] 王健[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《江西师范大学学报（自然科学版）》2014年第5期517-520,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11261041)资助项目

摘　　要：Adomian分解法求解非线性分数阶Volterra积分方程的数值解,将Adomian多项式与积分方程的定义相结合,得出一个递推公式求解方程的级数解,并进行了收敛性分析,给出了级数解的最大绝对截断误差,通过数值算例说明了该方法的有效性和可行性.Application of Adomian decomposition method,series solution of nonlinear volterra integral equations of fractional order are approximately obtained. The equation is solved by combining Adomian polynomials with the definition of fractional order integral. Convergence of the series solution is proved and the maximum absolute truncated error of the Adomian series solution is also given. Thus,the effectiveness and feasibility of the Adomian decomposition method are illustrated by the numerical example.

关 键 词：分数阶积分方程 ADOMIAN多项式 收敛性分析 误差估计 

分 类 号：O175.5[理学—数学]