High order accurate, one-sided finite-difference approximations to concentration gradients at the boundaries, for the simulation of electrochemical reaction-diffusion problems in one-dimensional space geometry.
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Publication:1414270
DOI10.1016/S1476-9271(02)00079-8zbMath1048.92037OpenAlexW1987550097WikidataQ52010721 ScholiaQ52010721MaRDI QIDQ1414270
Publication date: 20 November 2003
Published in: Computational Biology and Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s1476-9271(02)00079-8
Reaction-diffusionDigital simulationComputational electrochemistryElectrochemical kineticsHigh order finite-difference schemesReinert--Berg system
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Cites Work
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- Digital simulation in electrochemistry
- Compact finite difference schemes with spectral-like resolution
- Rosenbrock methods for differential algebraic equations
- Extension of high-order compact schemes to time-dependent problems
- A single cell high order scheme for the convection-diffusion equation with variable coefficients
- Differential-equation-based representation of truncation errors for accurate numerical simulation
- A High-Order Difference Method for Differential Equations
- A Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions
- The Construction of Finite Difference Approximations to Ordinary Differential Equations
- A Fourth-order Tridiagonal Finite Difference Method for General Two-point Boundary Value Problems with Non-linear Boundary Conditions
- Schémas compacts d'ordre élevé: application aux problèmes bidimensionnels de diffusion-convection instationnaire II
- High-order spatial discretisations in electrochemical digital simulation. 1. Combination with the BDF algorithm
- Compact ADI method for solving parabolic differential equations
- Conservative Finite-Difference Methods on General Grids
- Rational Chebyshev Approximations for the Error Function
- Formulae for Numerical Differentiation
- Extension of the Thomas algorithm to a class of algebraic linear equation systems involving quasi-block-tridiagonal matrices with isolated block-pentadiagonal rows, assuming variable block dimensions