The effect on the solution of the Fitzhugh-Nagumo equation by the external parameter \(\alpha \) using the Galerkin method

DOI10.11948/20220316MaRDI QIDQ6612487

Pius W. M. Chin

Publication date: 30 September 2024

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

zbMATH Keywords

Fitzhugh-Nagumo equationnon-standard finite differenceGalerkin and compactness methodsstability and optimal rate of convergence

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Degenerate elliptic equations (35J70) Second-order elliptic systems (35J47)

Cites Work

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• Contributions to the mathematics of the nonstandard finite difference method and applications
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• An explicit nonstandard finite difference scheme for the Allen–Cahn equation
• Error Estimates for Spatially Discrete Approximations of Semilinear Parabolic Equations with Nonsmooth Initial Data
• A Positivity-preserving Mickens-type Discretization of an Epidemic Model
• Long time stability and convergence for fully discrete nonlinear galerkin methods
• REGULARITY OF PULLBACK ATTRACTORS AND RANDOM EQUILIBRIUM FOR NON-AUTONOMOUS STOCHASTIC FITZHUGH-NAGUMO SYSTEM ON UNBOUNDED DOMAINS
• A WEAK GALERKIN FINITE ELEMENT METHOD FOR THE SECOND ORDER ELLIPTIC PROBLEMS WITH MIXED BOUNDARY CONDITIONS
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
• On the use of nonstandard finite difference methods†
• GALERKIN-FEM FOR OBTAINING THE NUMERICAL SOLUTION OF THE LINEAR FRACTIONAL KLEIN-GORDON EQUATION
• The Study of the Numerical Treatment of the Real Ginzburg–Landau Equation Using the Galerkin Method

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