数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (4): 1322-1344.doi: 10.1016/S0252-9602(18)30817-8
Mohammad ZAREBNIA1, Reza PARVAZ1, Amir SABOOR BAGHERZADEH2
Mohammad ZAREBNIA1, Reza PARVAZ1, Amir SABOOR BAGHERZADEH2
摘要:
In this paper, we study an efficient asymptotically correction of a-posteriori error estimator for the numerical approximation of Volterra integro-differential equations by piecewise polynomial collocation method. The deviation of the error for Volterra integrodifferential 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+1) 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.