Analysis of Operator Splitting in the Nonasymptotic Regime for Nonlinear Reaction-Diffusion Equations. Application to the Dynamics of Premixed Flames

Stéphane Descombes; Max Duarte; Thierry Dumont; Frédérique Laurent; Violaine Louvet; Marc Massot

doi:10.1137/130926006

Analysis of Operator Splitting in the Nonasymptotic Regime for Nonlinear Reaction-Diffusion Equations. Application to the Dynamics of Premixed Flames

SIAM Journal on Numerical Analysis ◽

10.1137/130926006 ◽

2014 ◽

Vol 52 (3) ◽

pp. 1311-1334 ◽

Cited By ~ 10

Author(s):

Stéphane Descombes ◽

Max Duarte ◽

Thierry Dumont ◽

Frédérique Laurent ◽

Violaine Louvet ◽

...

Keyword(s):

Operator Splitting ◽

Premixed Flames ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction

Download Full-text

A linearized spectral collocation method for Riesz space fractional nonlinear reaction‐diffusion equations

Computational and Mathematical Methods ◽

10.1002/cmm4.1177 ◽

2021 ◽

Author(s):

Mustafa Almushaira

Keyword(s):

Collocation Method ◽

Reaction Diffusion ◽

Riesz Space ◽

Reaction Diffusion Equations ◽

Spectral Collocation Method ◽

Diffusion Equations ◽

Spectral Collocation ◽

Nonlinear Reaction

Download Full-text

A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110253 ◽

2021 ◽

Vol 436 ◽

pp. 110253

Author(s):

Chun Liu ◽

Cheng Wang ◽

Yiwei Wang

Keyword(s):

Operator Splitting ◽

Detailed Balance ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Splitting Scheme ◽

Structure Preserving

Download Full-text

ADER finite volume schemes for nonlinear reaction–diffusion equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2007.12.001 ◽

2009 ◽

Vol 59 (1) ◽

pp. 73-100 ◽

Cited By ~ 29

Author(s):

Eleuterio F. Toro ◽

Arturo Hidalgo

Keyword(s):

Finite Volume ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Finite Volume Schemes ◽

Nonlinear Reaction

Download Full-text

Bounds on Solutions to Certain Nonlinear Reaction-Diffusion Equations

SIAM Journal on Applied Mathematics ◽

10.1137/0128031 ◽

1975 ◽

Vol 28 (2) ◽

pp. 362-366 ◽

Cited By ~ 3

Author(s):

F. J. Testa

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction

Download Full-text

A Closer Look of Nonlinear Reaction-Diffusion Equations

10.52305/rrsy7475 ◽

2020 ◽

Author(s):

L. Rajendran ◽

R. Swaminathan ◽

M. Chitra Devi

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction

Download Full-text

Global fuzzy adaptive asymptotic tracking control for nonlinear reaction-diffusion equations with time-varying coefficients

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2021.09.026 ◽

2021 ◽

Author(s):

Yanfang Lei ◽

Junmin Li ◽

Ailiang Zhao

Keyword(s):

Tracking Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Time Varying ◽

Varying Coefficients ◽

Nonlinear Reaction ◽

Asymptotic Tracking ◽

Time Varying Coefficients ◽

Fuzzy Adaptive

Download Full-text

The interplay of nonlinear reaction and convection in dead core behavior for reaction-diffusion equations

Nonlinear Analysis ◽

10.1016/0362-546x(92)90156-9 ◽

1992 ◽

Vol 18 (12) ◽

pp. 1113-1123 ◽

Cited By ~ 2

Author(s):

Ross Pinsky

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction ◽

Dead Core

Download Full-text

Nonlinear reaction-diffusion equations with delay: some theorems, test problems, exact and numerical solutions

Journal of Physics Conference Series ◽

10.1088/1742-6596/937/1/012041 ◽

2017 ◽

Vol 937 ◽

pp. 012041

Author(s):

A D Polyanin ◽

V G Sorokin

Keyword(s):

Numerical Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Test Problems ◽

Nonlinear Reaction ◽

Equations With Delay

Download Full-text

Generalized traveling-wave solutions of nonlinear reaction–diffusion equations with delay and variable coefficients

Applied Mathematics Letters ◽

10.1016/j.aml.2018.10.012 ◽

2019 ◽

Vol 90 ◽

pp. 49-53 ◽

Cited By ~ 9

Author(s):

Andrei D. Polyanin

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Variable Coefficients ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Wave Solutions ◽

Nonlinear Reaction ◽

Equations With Delay

Download Full-text

A fourth-order compact algorithm for nonlinear reaction-diffusion equations with Neumann boundary conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20111 ◽

2006 ◽

Vol 22 (3) ◽

pp. 600-616 ◽

Cited By ~ 24

Author(s):

Wenyuan Liao ◽

Jianping Zhu ◽

Abdul Q.M. Khaliq

Keyword(s):

Boundary Conditions ◽

Fourth Order ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Neumann Boundary Conditions ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction

Download Full-text