A three‐level time‐split MacCormack method for two‐dimensional nonlinear reaction‐diffusion equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4844 ◽

2020 ◽

Vol 92 (12) ◽

pp. 1681-1706 ◽

Author(s):

Eric Ngondiep ◽

Nabil Kerdid ◽

Mohammed Abdulaziz Mohammed Abaoud ◽

Ibrahim Abdulaziz Ibrahim Aldayel

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Two Dimensional ◽

Nonlinear Reaction ◽

Maccormack Method

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High-order time-stepping methods for two-dimensional Riesz fractional nonlinear reaction–diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.03.010 ◽

2020 ◽

Vol 80 (1) ◽

pp. 204-226

Author(s):

M. Yousuf ◽

K.M. Furati ◽

A.Q.M. Khaliq

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Two Dimensional ◽

Time Stepping ◽

Nonlinear Reaction ◽

High Order Time

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A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction–diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.01.013 ◽

2018 ◽

Vol 75 (8) ◽

pp. 2835-2850 ◽

Author(s):

Fengyan Wu ◽

Xiujun Cheng ◽

Dongfang Li ◽

Jinqiao Duan

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Two Dimensional ◽

Nonlinear Reaction ◽

Compact Adi Scheme

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A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction–diffusion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.10.065 ◽

2019 ◽

Vol 346 ◽

pp. 452-464 ◽

Author(s):

Xiujun Cheng ◽

Jinqiao Duan ◽

Dongfang Li

Keyword(s):

Reaction Diffusion ◽

Riesz Space ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Two Dimensional ◽

Nonlinear Reaction ◽

Compact Adi Scheme

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Invariant sets and solutions to the two-dimensional nonlinear reaction–diffusion equations

Nonlinear Analysis ◽

10.1016/j.na.2009.01.102 ◽

2009 ◽

Vol 71 (12) ◽

pp. e1139-e1152

Author(s):

Chunrong Zhu ◽

Changzheng Qu ◽

Shunli Zhang

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Invariant Sets ◽

Two Dimensional ◽

Nonlinear Reaction

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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

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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 ◽

Author(s):

Eleuterio F. Toro ◽

Arturo Hidalgo

Keyword(s):

Finite Volume ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Finite Volume Schemes ◽

Nonlinear Reaction

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Bounds on Solutions to Certain Nonlinear Reaction-Diffusion Equations

SIAM Journal on Applied Mathematics ◽

10.1137/0128031 ◽

1975 ◽

Vol 28 (2) ◽

pp. 362-366 ◽

Author(s):

F. J. Testa

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction

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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

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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 ◽

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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 ◽

Author(s):

Ross Pinsky

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction ◽

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