DEVIATION OF THE ERROR ESTIMATION FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

作     者：Mohammad ZAREBNIA Reza PARVAZ Amir SABOOR BAGHERZADEH 

作者机构：Department of Mathematics University of Mohaghegh Ardabili Department of Applied Mathematics Faculty of Mathematics Ferdowsi University of Mashhad 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2018年第38卷第4期

页      面：1322-1344页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

主　　题：Volterra integro-differential defect correction principle piecewise polynomial collocation finite difference error analysis 

摘      要：In this paper, we study an efficient asymptotically correction of a-posteriori er- ror estimator for the numerical approximation of Volterra integro-differential equations by piecewise polynomial collocation method. The deviation of the error for Volterra integro- differential equations by using the defect correction principle is defined. Also, it is shown that for m degree piecewise polynomial collocation method, our method provides O（hm＋l） as the order of the deviation of the error. The theoretical behavior is tested on examples and it is shown that the numerical results confirm the theoretical part.