Solving linear integro-differential equation system by Galerkin methods with hybrid functions
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摘要
In this paper, we use the hybrid Legendre and Block–Pulse functions on interval [0,1) to solve the linear integro-differential equation system, and construct the quadrature formulae for the calculation of inner products of any functions, which are required in the Galerkin methods for integro-differential equation system.
论文关键词：Integro-differential equation,Operational matrix,Product operation,Legendre polynomials,Block–Pulse functions,Quadrature formulae
论文评审过程：Available online 19 December 2003.
论文官网地址：https://doi.org/10.1016/j.amc.2003.10.046
