Uniform difference method for singularly perturbed Volterra integro-differential equations

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摘要

Singularly perturbed Volterra integro-differential equations is considered. An exponentially fitted difference scheme is constructed in a uniform mesh which gives first order uniform convergence in the discrete maximum norm. Numerical experiments support the theoretical results.

论文关键词:Singular perturbation,Volterra integro-differential equations,Difference scheme,Uniform convergence,Boundary layer

论文评审过程:Available online 8 February 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2005.11.155