The Euler-Galerkin finite element method for a nonlocal coupled system of reaction-diffusion type

DOI10.1016/j.cam.2015.09.019zbMath1331.65138OpenAlexW1509634283MaRDI QIDQ898937

N. E. Zubov

Publication date: 21 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.cam.2015.09.019

zbMATH Keywords

convergencefinite element methodEuler methodnonlinear parabolic systemnonlocal diffusion term

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (8)

Error estimates for Galerkin finite element approximations of time-fractional nonlocal diffusion equation ⋮ On the finite element method for a nonlocal degenerate parabolic problem ⋮ Finite element schemes for a class of nonlocal parabolic systems with moving boundaries ⋮ Analysis of a Quasi-Reversibility Method for a Terminal Value Quasi-Linear Parabolic Problem with Measurements ⋮ An improved quasi-reversibility method for a terminal-boundary value multi-species model with white Gaussian noise ⋮ Finite element analysis of nonlocal coupled parabolic problem using Newton's method ⋮ Approach to the Delta Greek of nonlinear Black-Scholes equation governing European options ⋮ A new method to solve numeric solution of nonlinear dynamic system

Uses Software

• Matlab

Cites Work

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• Solution and asymptotic behaviour for a nonlocal coupled system of reaction-diffusion
• On a class of problems involving a nonlocal operator.
• Convergence of a finite volume scheme for nonlinear degenerate parabolic equations
• Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem
• A reaction–diffusion model for the non-local coupled system: existence, uniqueness, long-time behaviour and localization properties of solutions
• Some remarks on non local elliptic and parabolic problems
• Existence-uniqueness and long time behavior for a class of nonlocal nonlinear parabolic evolution equations
• Galerkin Finite Element Methods for Parabolic Problems

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