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

Frederic Hecht, Temur Jangveladze, Zurab Kiguradze and Olivier Pironneau

Applied Mathematics and Computation, 2018, vol. 328, issue C, 287-300

Abstract: 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.

Keywords: Maxwell equations; System of nonlinear integro-differential equations; Unique solvability; Asymptotic behavior; Finite difference scheme; FreeFem++ implementation (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:328:y:2018:i:c:p:287-300

DOI: 10.1016/j.amc.2018.01.050

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