Picard’s iterative method for nonlinear multicomponent transport equations

DOI10.1080/23311835.2016.1158510zbMath1438.65212OpenAlexW2292419975MaRDI QIDQ4966745

Jürgen Geiser

Publication date: 27 June 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2016.1158510

zbMATH Keywords

multicomponent transportvariational iterative methodplasma modelsPicard's iterative methodmultilevel iterative methodmultidiffusion modelnonlinear solver methods

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Navier-Stokes equations for incompressible viscous fluids (76D05) Reaction-diffusion equations (35K57) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Numerical quadrature and cubature formulas (65D32) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Blow-up in context of PDEs (35B44) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Cites Work

• On the variational iteration method and other iterative techniques for nonlinear differential equations
• Iterative operator-splitting methods with higher-order time integration methods and applications for parabolic partial differential equations
• Picard's iterative method for nonlinear advection-reaction-diffusion equations

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