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

DOI10.1016/j.amc.2018.01.050zbMath1427.65164OpenAlexW2789573971WikidataQ130209159 ScholiaQ130209159MaRDI QIDQ2001636

Olivier Pironneau, Zurab V. Kiguradze, Temuri A.Dzhangveladze, Frederic Hecht

Publication date: 10 July 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.01.050

zbMATH Keywords

asymptotic behaviorfinite difference schemeMaxwell equationsunique solvabilitysystem of nonlinear integro-differential equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Numerical methods for integral equations (65R20) PDEs in connection with optics and electromagnetic theory (35Q60) Integro-partial differential equations (45K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Integro-partial differential equations (35R09)

Related Items (4)

An efficient approach based on Legendre-Gauss-Lobatto quadrature and discrete shifted Hahn polynomials for solving Caputo-Fabrizio fractional Volterra partial integro-differential equations ⋮ Unnamed Item ⋮ Numerical solution for a nonlinear diffusion model with source terms ⋮ Comparison of several numerical solvers for a discretized nonlinear diffusion model with source terms

Uses Software

• FreeFem++

Cites Work

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