Finite element approximations of a nonlinear diffusion model with memory

DOI10.1007/s11075-012-9658-7zbMath1276.65094OpenAlexW1967625101MaRDI QIDQ369441

Simeon Reich, Beny Neta, Zurab V. Kiguradze, Temuri A.Dzhangveladze

Publication date: 24 September 2013

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-012-9658-7

zbMATH Keywords

convergencecomparison of methodsasymptotic behaviornumerical examplesfinite element schemefinite difference resultsmagnetic field penetrating into a substancesystem of nonlinear integro-differential equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Systems of nonlinear integral equations (45G15)

Related Items (7)

Expanded mixed FEM with lowest order RT elements for nonlinear and nonlocal parabolic problems ⋮ Unconditionally stable numerical method for a nonlinear partial integro-differential equation ⋮ Optimal error estimates of Galerkin method for a nonlinear parabolic integro-differential equation ⋮ Averaged semi-discrete scheme of sum-approximation for one nonlinear multi-dimensional integro-differential parabolic equation ⋮ Finite difference scheme for one system of nonlinear partial integro-differential equations ⋮ Finite element <scp>G</scp>alerkin approximations to a class of nonlinear and nonlocal parabolic problems ⋮ Finite element method for a nonlinear parabolic integro-differential equation in higher spatial dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite differences versus finite elements for solving nonlinear integro- differential equations
• Galerkin finite element method for one nonlinear integro-differential model
• Finite difference approximation of a nonlinear integro-differential system
• Large time behavior of solutions and finite difference scheme to a nonlinear integro-differential equation
• Large time asymptotic and numerical solution of a nonlinear diffusion model with memory
• Numerical solution of a nonlinear integro-differential equation
• Nonlinear parabolic equations with nonlinear functionals
• Large time behavior of solutions to a nonlinear integro-differential system
• QUASILINEAR PARABOLIC EQUATIONS CONTAINING A VOLTERRA OPERATOR IN THE COEFFICIENTS

This page was built for publication: Finite element approximations of a nonlinear diffusion model with memory