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OALib Journal期刊
ISSN: 2333-9721
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ACCELERATION OF CONVERGENCE FOR GALERKIN APPROXIMATION TO FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
Fredholm积-微分方程Galerkin解的加速收敛分析

Keywords: Integro-differential equations,iterated approximation,error expansion,extrapolation,multilevel correction
积-微分方程
,迭代Galerkin解,渐近展式

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Abstract:

In this paper, an asmptotic error expansion for the iterated Galerkin approximation (along with its derivative) to a larger class of linear Fredholm integro-differential equations is derived, and thus the extrapolation estimate is obtained. Moreover, the ideal multilevel correction estimate is given.

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