Finite-difference methods for solving the reaction-diffusion equations of a simple isothermal chemical system

E. H. Twizell; Yigong Wang; W. G. Price; F. Fakhr

doi:10.1002/num.1690100404

Finite-difference methods for solving the reaction-diffusion equations of a simple isothermal chemical system

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690100404 ◽

1994 ◽

Vol 10 (4) ◽

pp. 435-454 ◽

Cited By ~ 15

Author(s):

E. H. Twizell ◽

Yigong Wang ◽

W. G. Price ◽

F. Fakhr

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Chemical System ◽

Difference Methods

Damping characteristics of finite difference methods for one-dimensional reaction–diffusion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.04.023 ◽

2006 ◽

Vol 182 (1) ◽

pp. 607-609 ◽

Cited By ~ 1

Author(s):

J.I. Ramos

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

One Dimensional ◽

Damping Characteristics ◽

Difference Methods

Efficient compact finite difference methods for a class of time-fractional convection–reaction–diffusion equations with variable coefficients

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1437262 ◽

2018 ◽

Vol 96 (2) ◽

pp. 264-297 ◽

Cited By ~ 10

Author(s):

Yuan-Ming Wang ◽

Lei Ren

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Reaction Diffusion ◽

Variable Coefficients ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Compact Finite Difference ◽

Difference Methods

Stability and Convergence of Finite Difference Methods for Systems of Nonlinear Reaction-Diffusion Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0715077 ◽

1978 ◽

Vol 15 (6) ◽

pp. 1161-1177 ◽

Cited By ~ 64

Author(s):

David Hoff

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Stability And Convergence ◽

Nonlinear Reaction ◽

Difference Methods

Uniformly convergent novel finite difference methods for singularly perturbed reaction–diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22405 ◽

2019 ◽

Vol 35 (6) ◽

pp. 2120-2148 ◽

Cited By ~ 4

Author(s):

Xuefei He ◽

Kun Wang

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Uniformly Convergent ◽

Difference Methods

Numerical solution of linear one dimensional Fisher’s reaction diffusion equations by finite difference methods

10.1063/5.0075508 ◽

2021 ◽

Author(s):

Nur Aishah Jamaludin ◽

Amirah Azmi

Keyword(s):

Finite Difference ◽

Numerical Solution ◽

Finite Difference Methods ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

One Dimensional ◽

Difference Methods

The Error Analysis of Finite Difference Approximation for a System of Singularly Perturbed Semilinear Reaction-Diffusion Equations with Discontinuous Source Term

Finite Difference Methods. Theory and Applications - Lecture Notes in Computer Science ◽

10.1007/978-3-030-11539-5_18 ◽

2019 ◽

pp. 175-184

Author(s):

S. Chandra Sekhara Rao ◽

Sheetal Chawla

Keyword(s):

Finite Difference ◽

Error Analysis ◽

Source Term ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Finite Difference Approximation ◽

Diffusion Equations ◽

Difference Approximation ◽

Discontinuous Source Term

A finite-difference scheme for a coupled system of singularly perturbed time-dependent reaction–diffusion equations with discontinuous source terms

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1733538 ◽

2020 ◽

pp. 1-16

Author(s):

K. Aarthika ◽

V. Shanthi ◽

Higinio Ramos

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Time Dependent ◽

Diffusion Equations ◽

Source Terms

A fourth-order accurate, Numerov-type, three-point finite-difference discretization of electrochemical reaction-diffusion equations on nonuniform (exponentially expanding) spatial grids in one-dimensional space geometry

Journal of Computational Chemistry ◽

10.1002/jcc.20075 ◽

2004 ◽

Vol 25 (12) ◽

pp. 1515-1521 ◽

Cited By ~ 6

Author(s):

Les?aw K. Bieniasz

Keyword(s):

Finite Difference ◽

Electrochemical Reaction ◽

Dimensional Space ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

One Dimensional ◽

Finite Difference Discretization ◽

Spatial Grids ◽

Difference Discretization

Weighted average finite difference methods for fractional diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2005.12.006 ◽

2006 ◽

Vol 216 (1) ◽

pp. 264-274 ◽

Cited By ~ 246

Author(s):

S.B. Yuste

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Weighted Average ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Difference Methods

Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2004.02.016 ◽

2004 ◽

Vol 199 (2) ◽

pp. 589-597 ◽

Cited By ~ 76

Author(s):

Konstantin Lipnikov ◽

Jim Morel ◽

Mikhail Shashkov

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Diffusion Equations ◽

Difference Methods