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Article Dans Une Revue Applied Mathematics and Computation Année : 2018

Finite difference scheme for one system of nonlinear partial integro-differential equations

Résumé

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.

Dates et versions

hal-01972158 , version 1 (07-01-2019)

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Citer

Frédéric Hecht, Temur Jangveladze, Zurab Kiguradze, Olivier Pironneau. Finite difference scheme for one system of nonlinear partial integro-differential equations. Applied Mathematics and Computation, 2018, 328, pp.287-300. ⟨10.1016/j.amc.2018.01.050⟩. ⟨hal-01972158⟩
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