Finite element analysis of nonlinear reaction-diffusion system of Fitzhugh-Nagumo type with Robin boundary conditions

DOI10.1016/j.matcom.2022.07.005OpenAlexW4285010452WikidataQ113869122 ScholiaQ113869122MaRDI QIDQ2079348

Ghassan A. Al-Juaifri, Akil J. Harfash

Publication date: 29 September 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2022.07.005

zbMATH Keywords

error boundsFitzhugh-Nagumosemi-discrete approximationfully discrete approximationRobin boundary

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

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Cites Work

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• On soliton solutions for the Fitzhugh-Nagumo equation with time-dependent coefficients
• Numerical solutions of FitzHugh-Nagumo equation by exact finite-difference and NSFD schemes
• Galerkin finite element methods for parabolic problems
• Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy
• Mathematical physiology
• Mathematical biology. Vol. 1: An introduction.
• Finite element approximation of a nonlinear cross-diffusion population model
• An error bound for the finite element approximation of the Cahn-Hilliard equation with logarithmic free energy
• Finite element analysis of a Keller-Segel model with additional cross-diffusion and logistic source. I: Space convergence
• Finite element analysis of attraction-repulsion chemotaxis system. I: Space convergence
• Finite element analysis of attraction-repulsion chemotaxis system. II: Time convergence, error analysis and numerical results
• Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes
• Finite element approximation of a Keller-Segel model with additional self- and cross-diffusion terms and a logistic source
• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
• Finite element analysis of a Keller-Segel model with additional cross-diffusion and logistic source. II: Time convergence and numerical simulation
• Mixed two-grid finite difference methods for solving one-dimensional and two-dimensional Fitzhugh-Nagumo equations
• Finite Element Approximation of the Transport of Reactive Solutes in Porous Media. Part 1: Error Estimates for Nonequilibrium Adsorption Processes
• A Lumped Mass Finite-element Method with Quadrature for a Non-linear Parabolic Problem
• Error Analysis of the Enthalpy Method for the Stefan Problem
• The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part II: Numerical analysis
• Robin boundary value problems on arbitrary domains
• Comparative Study of Some Numerical Methods for the Standard FitzHugh-Nagumo Equation