Finite difference scheme for one system of nonlinear partial integro-differential equations
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摘要
System of Maxwell equations is considered. Reduction to the integro-differential form is given. Existence, uniqueness and large time behavior of solutions of the initial-boundary value problem for integro-differential model with two-component and one-dimensional case are studied. Finite difference scheme is investigated. Wider class of nonlinearity is studied than one has been investigated before. FreeFem++ realization code and results of numerical experiments are given.
论文关键词：Maxwell equations,System of nonlinear integro-differential equations,Unique solvability,Asymptotic behavior,Finite difference scheme,FreeFem++ implementation
论文评审过程：Received 24 July 2016, Revised 23 January 2018, Accepted 27 January 2018, Available online 20 February 2018, Version of Record 20 February 2018.
论文官网地址：https://doi.org/10.1016/j.amc.2018.01.050
