Numerical stability of finite difference algorithms for electrochemical kinetic simulations: Matrix stability analysis of the classic explicit, fully implicit and Crank-Nicolson methods and typical problems involving mixed boundary conditions

Lesław K. Bieniasz; Ole Østerby; Dieter Britz

doi:10.1016/0097-8485(94)00054-i

Numerical stability of finite difference algorithms for electrochemical kinetic simulations: Matrix stability analysis of the classic explicit, fully implicit and Crank-Nicolson methods and typical problems involving mixed boundary conditions

Computers & Chemistry ◽

10.1016/0097-8485(94)00054-i ◽

1995 ◽

Vol 19 (2) ◽

pp. 121-136 ◽

Cited By ~ 22

Author(s):

Lesław K. Bieniasz ◽

Ole Østerby ◽

Dieter Britz

Keyword(s):

Stability Analysis ◽

Finite Difference ◽

Boundary Conditions ◽

Numerical Stability ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Fully Implicit ◽

Matrix Stability ◽

Crank Nicolson

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Numerical stability of the Saul'yev finite difference algorithms for electrochemical kinetic simulations: Matrix stability analysis for an example problem involving mixed boundary conditions

Computers & Chemistry ◽

10.1016/0097-8485(95)00047-v ◽

1995 ◽

Vol 19 (4) ◽

pp. 357-370 ◽

Cited By ~ 13

Author(s):

Lesław K. Bieniasz ◽

Ole Østerby ◽

Dieter Britz

Keyword(s):

Stability Analysis ◽

Finite Difference ◽

Boundary Conditions ◽

Numerical Stability ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Matrix Stability

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Numerical stability of finite difference algorithms for electrochemical kinetic simulations. Matrix stability analysis of the classic explicit, fully implicit and Crank-Nicolson methods, extended to the 3- and 4-point gradient approximation at the electrodes

Computers & Chemistry ◽

10.1016/0097-8485(95)00056-x ◽

1995 ◽

Vol 19 (4) ◽

pp. 351-355 ◽

Cited By ~ 10

Author(s):

Lesław K. Bieniasz ◽

Ole Østerby ◽

Dieter Britz

Keyword(s):

Stability Analysis ◽

Finite Difference ◽

Numerical Stability ◽

Fully Implicit ◽

Matrix Stability ◽

Crank Nicolson

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The effect of the discretization of the mixed boundary conditions on the numerical stability of the Crank-Nicolson algorithm of electrochemical kinetic simulations

Computers & Chemistry ◽

10.1016/s0097-8485(97)00033-8 ◽

1997 ◽

Vol 21 (6) ◽

pp. 391-401 ◽

Cited By ~ 13

Author(s):

Lesław K. Bieniasz ◽

Ole Østerby ◽

Dieter Britz

Keyword(s):

Boundary Conditions ◽

Numerical Stability ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Crank Nicolson

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A Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions

IMA Journal of Applied Mathematics ◽

10.1093/imamat/21.1.83 ◽

1978 ◽

Vol 21 (1) ◽

pp. 83-93 ◽

Cited By ~ 52

Author(s):

M. M. CHAWLA

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Boundary Value Problems ◽

Fourth Order ◽

Difference Method ◽

Mixed Boundary ◽

Boundary Value ◽

Mixed Boundary Conditions ◽

Point Boundary

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NUMERICAL SOLUTION OF THE TIME FRACTIONAL ORDER DIFFUSION EQUATION WITH MIXED BOUNDARY CONDITIONS USING MIMETIC FINITE DIFFERENCE

Journal of Applied Analysis & Computation ◽

10.11948/20210115 ◽

2020 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Mardo Gonzales Herrera ◽

◽

César E. Torres Ledesma ◽

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Boundary Conditions ◽

Numerical Solution ◽

Fractional Order ◽

Mixed Boundary ◽

Mixed Boundary Conditions

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The Shortley–Weller embedded finite-difference method for the 3D Poisson equation with mixed boundary conditions

Journal of Computational Physics ◽

10.1016/j.jcp.2010.01.021 ◽

2010 ◽

Vol 229 (10) ◽

pp. 3675-3690 ◽

Cited By ~ 22

Author(s):

Z. Jomaa ◽

C. Macaskill

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Poisson Equation ◽

Difference Method ◽

Mixed Boundary ◽

Mixed Boundary Conditions

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Analysis of bending plates with mixed boundary conditions using generalized equations of finite difference method

IOP Conference Series Materials Science and Engineering ◽

10.1088/1757-899x/913/2/022018 ◽

2020 ◽

Vol 913 ◽

pp. 022018

Author(s):

Radek Gabbasov ◽

Vladimir Filatov ◽

Ngoc Khoa Dao ◽

Thi Linh Quyen Hoang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Difference Method ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Generalized Equations ◽

Bending Plates

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An Interval Finite Difference Method of Crank-Nicolson Type for Solving the One-Dimensional Heat Conduction Equation with Mixed Boundary Conditions

Applied Parallel and Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-642-28145-7_16 ◽

2012 ◽

pp. 157-167 ◽

Cited By ~ 5

Author(s):

Malgorzata A. Jankowska

Keyword(s):

Heat Conduction ◽

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Difference Method ◽

Heat Conduction Equation ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Conduction Equation ◽

The One

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Finite difference methods for a class of two-point boundary value problems with mixed boundary conditions

Journal of Computational and Applied Mathematics ◽

10.1016/0771-050x(80)90025-x ◽

1980 ◽

Vol 6 (3) ◽

pp. 189-196 ◽

Cited By ~ 3

Author(s):

M.M. Chawla ◽

C.P. Katti

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Boundary Value Problems ◽

Mixed Boundary ◽

Boundary Value ◽

Finite Difference Methods ◽

Mixed Boundary Conditions ◽

Point Boundary ◽

Difference Methods

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POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS WITH MIXED BOUNDARY CONDITIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30162-0 ◽

1992 ◽

Vol 12 (3) ◽

pp. 292-303

Author(s):

Ruying Xue

Keyword(s):

Boundary Conditions ◽

Positive Solutions ◽

Elliptic Equations ◽

Mixed Boundary ◽

Nonlinear Elliptic Equations ◽

Mixed Boundary Conditions ◽

Nonlinear Elliptic

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