Numerical simulation of singularly perturbed reaction-diffusion equation using finite element method

DOI10.1007/s10598-017-9374-1zbMath1380.35107OpenAlexW2730364827MaRDI QIDQ1695464

Akanksha Srivastava

Publication date: 7 February 2018

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

Full work available at URL: https://doi.org/10.1007/s10598-017-9374-1

zbMATH Keywords

singular perturbationfinite element methodNewton's methodreaction-diffusion equationnonlinear elliptic boundary value problem

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (1)

Finite element analysis of the two-competing-species Keller-Segel chemotaxis model

Cites Work

• Bound states for semilinear Schrödinger equations with sign-changing potential
• Singular perturbation for the weakly nonlinear reaction diffusion equation with boundary perturbation
• Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type
• On a class of nonlinear Schrödinger equations
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• Semi-classical limit for radial nonlinear Schrödinger equation
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• New solutions for nonlinear Schrödinger equations with critical nonlinearity
• Semiclassical states for nonlinear Schrödinger equations with sign-changing potentials
• Coupling finite volume and nonstandard finite difference schemes for a singularly perturbed Schrödinger equation
• SEMI-CLASSICAL LIMIT FOR THE ONE DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION
• Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)_a
• On a singularly perturbed equation with neumann boundary condition
• On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems
• An Introduction to Nonlinear Partial Differential Equations, Second Edition

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