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Nonpolynomial Spline Collocation Method for Second-Order Volterra Intergro-Differential Equations with Weakly Singular Kernels
Author(s): 
Pages: 177-180
Year: Issue:  2
Journal: TRANSACTIONS OF BEIJING INSTITUTE OF TECHNOLOGY

Keyword:  Volterra积分微分方程非多项式样条配置误差估计;
Abstract: 研究了二阶弱奇异Volterra积分微分方程的非多项式样条配置,得到了当奇异项指数为有理数时,Volterra积分微分方程解的展开式,由此构造出非多项式样条空间,获得方程在此样条空间中的近似解,并证明了近似解的误差为O(hm).
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