Implementation of an exact finite reduction scheme for steady-state reaction-diffusion equations

Franco Cardin; Alberto Lovison; Mario Putti

doi:10.1002/nme.1824

Implementation of an exact finite reduction scheme for steady-state reaction-diffusion equations

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1824 ◽

2007 ◽

Vol 69 (9) ◽

pp. 1804-1818 ◽

Cited By ~ 4

Author(s):

Franco Cardin ◽

Alberto Lovison ◽

Mario Putti

Keyword(s):

Steady State ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Reduction Scheme

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An inverse problem for a 2-D system of steady-state reaction-diffusion equations on a perforated domain

10.1063/1.4972681 ◽

2017 ◽

Cited By ~ 2

Author(s):

Herb Kunze ◽

Davide La Torre

Keyword(s):

Inverse Problem ◽

Steady State ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Perforated Domain

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Steady state bifurcation analysis of reaction-diffusion equations—A critique

Bulletin of Mathematical Biology ◽

10.1016/s0092-8240(78)80014-7 ◽

1978 ◽

Vol 40 (6) ◽

pp. 865-872

Author(s):

T VANDERWERFF ◽

H WILHELM

Keyword(s):

Steady State ◽

Bifurcation Analysis ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Steady State Bifurcation

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Bifurcation analysis of nonlinear reaction-diffusion equations—I. Evolution equations and the steady state solutions

The Bulletin of Mathematical Biophysics ◽

10.1007/bf02459519 ◽

1975 ◽

Vol 37 (4) ◽

pp. 323-365 ◽

Cited By ~ 11

Author(s):

J. F. G. Auchmuty ◽

G. Nicolis

Keyword(s):

Steady State ◽

Bifurcation Analysis ◽

Evolution Equations ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction ◽

Steady State Solutions

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Bifurcation analysis of nonlinear reaction-diffusion equations—II. Steady state solutions and comparison with numerical simulations

The Bulletin of Mathematical Biophysics ◽

10.1007/bf02459527 ◽

1975 ◽

Vol 37 (6) ◽

pp. 589-636 ◽

Cited By ~ 92

Author(s):

M. Herschkowitz-Kaufman

Keyword(s):

Steady State ◽

Numerical Simulations ◽

Bifurcation Analysis ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction ◽

Steady State Solutions

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A Comparative Study of Legendre Computational Method and Modified Adomian Decomposition Method for Steady State Immobilized Reaction-Diffusion Equations

Journal of Advanced Mathematics and Applications ◽

10.1166/jama.2016.1103 ◽

2016 ◽

Vol 5 (2) ◽

pp. 139-144

Author(s):

M. Mahalakshmi ◽

G. Hariharan

Keyword(s):

Steady State ◽

Comparative Study ◽

Decomposition Method ◽

Adomian Decomposition Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Computational Method ◽

Diffusion Equations ◽

Modified Adomian Decomposition Method ◽

Adomian Decomposition

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An inverse problem for a system of steady-state reaction-diffusion equations on a porous domain using a collage-based approach

Journal of Physics Conference Series ◽

10.1088/1742-6596/1047/1/012005 ◽

2018 ◽

Vol 1047 ◽

pp. 012005

Author(s):

H Kunze ◽

D La Torre

Keyword(s):

Inverse Problem ◽

Steady State ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Porous Domain

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On steady state solutions of a system of reaction-diffusion equations from biology

Nonlinear Analysis ◽

10.1016/0362-546x(82)90045-1 ◽

1982 ◽

Vol 6 (6) ◽

pp. 523-530 ◽

Cited By ~ 39

Author(s):

A.C. Lazer ◽

P.J. McKenna

Keyword(s):

Steady State ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Steady State Solutions

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Exact steady-state of reaction-diffusion equations in the presence of losses

Physica Scripta ◽

10.1088/0031-8949/48/6/012 ◽

1993 ◽

Vol 48 (6) ◽

pp. 733-734

Author(s):

Hans Wilhelmsson

Keyword(s):

Steady State ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations

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Existence and stability of steady-state solutions of reaction–diffusion equations with nonlocal delay effect

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-021-01474-1 ◽

2021 ◽

Vol 72 (2) ◽

Author(s):

Wenjie Zuo ◽

Junping Shi

Keyword(s):

Steady State ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Delay Effect ◽

Nonlocal Delay ◽

Existence And Stability ◽

Steady State Solutions

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Tailored finite point method for steady-state reaction-diffusion equations

Communications in Mathematical Sciences ◽

10.4310/cms.2010.v8.n4.a5 ◽

2010 ◽

Vol 8 (4) ◽

pp. 887-899 ◽

Cited By ~ 17

Author(s):

Houde Han ◽

Zhongyi Huang

Keyword(s):

Steady State ◽

Reaction Diffusion ◽

Point Method ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Finite Point ◽

Finite Point Method ◽

Tailored Finite Point Method ◽

Tailored Finite Point

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