Jacobi–Gauss–Lobatto collocation method for solving nonlinear reaction–diffusion equations subject to Dirichlet boundary conditions

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.09.009 ◽

2016 ◽

Vol 40 (3) ◽

pp. 1703-1716 ◽

Author(s):

A.H. Bhrawy ◽

E.H. Doha ◽

M.A. Abdelkawy ◽

R.A. Van Gorder

Keyword(s):

Boundary Conditions ◽

Collocation Method ◽

Dirichlet Boundary ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Dirichlet Boundary Conditions ◽

Diffusion Equations ◽

Nonlinear Reaction

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Blow-up and global solutions for a class of nonlinear reaction diffusion equations under Dirichlet boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.08.046 ◽

2016 ◽

Vol 433 (2) ◽

pp. 1718-1735 ◽

Author(s):

Juntang Ding ◽

Hongjuan Hu

Keyword(s):

Boundary Conditions ◽

Dirichlet Boundary ◽

Blow Up ◽

Global Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Dirichlet Boundary Conditions ◽

Diffusion Equations ◽

Nonlinear Reaction

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Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2006.14.63 ◽

2005 ◽

Vol 14 (1) ◽

pp. 63-74 ◽

Author(s):

Juan-Luis Vázquez ◽

Hirokazu Ninomiya ◽

Marek Fila

Keyword(s):

Boundary Conditions ◽

Dirichlet Boundary ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Dirichlet Boundary Conditions ◽

Diffusion Equations

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A comparison of periodic travelling wave generation by Robin and Dirichlet boundary conditions in oscillatory reaction-diffusion equations

IMA Journal of Applied Mathematics ◽

10.1093/imamat/hxn015 ◽

2008 ◽

Vol 73 (5) ◽

pp. 759-781 ◽

Author(s):

J. A. Sherratt

Keyword(s):

Boundary Conditions ◽

Dirichlet Boundary ◽

Reaction Diffusion ◽

Travelling Wave ◽

Wave Generation ◽

Reaction Diffusion Equations ◽

Dirichlet Boundary Conditions ◽

Diffusion Equations ◽

Oscillatory Reaction ◽

Periodic Travelling Wave

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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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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 ◽

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

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Blow-up phenomena for a class of nonlinear reaction-diffusion equations under nonlinear boundary conditions

Applicable Analysis ◽

10.1080/00036811.2018.1478079 ◽

2018 ◽

Vol 98 (16) ◽

pp. 2868-2883 ◽

Author(s):

Ling-Ling Zhang ◽

Hui-Min Tian

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Blow Up ◽

Reaction Diffusion ◽

Nonlinear Boundary Conditions ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction

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Blow-up analysis for a class of nonlinear reaction diffusion equations with Robin boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4697 ◽

2017 ◽

Vol 41 (4) ◽

pp. 1683-1696 ◽

Author(s):

Juntang Ding ◽

Xuhui Shen

Keyword(s):

Boundary Conditions ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Robin Boundary Conditions ◽

Blow Up Analysis ◽

Nonlinear Reaction ◽

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Blow-up and global existence for nonlinear reaction-diffusion equations under Neumann boundary conditions

Journal of Inequalities and Applications ◽

10.1186/s13660-016-1029-9 ◽

2016 ◽

Vol 2016 (1) ◽

Author(s):

Juntang Ding

Keyword(s):

Global Existence ◽

Boundary Conditions ◽

Blow Up ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Neumann Boundary Conditions ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction

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Global and blow‐up analysis for a class of nonlinear reaction diffusion model with Dirichlet boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5241 ◽

2018 ◽

Vol 41 (17) ◽

pp. 7789-7803 ◽

Author(s):

Lingling Zhang ◽

Hui Wang ◽

Xiaoqiang Wang

Keyword(s):

Boundary Conditions ◽

Diffusion Model ◽

Dirichlet Boundary ◽

Blow Up ◽

Reaction Diffusion ◽

Dirichlet Boundary Conditions ◽

Blow Up Analysis ◽

Nonlinear Reaction ◽

Reaction Diffusion Model

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Blow-up and global solutions for nonlinear reaction–diffusion equations with Neumann boundary conditions

Nonlinear Analysis ◽

10.1016/j.na.2006.11.016 ◽

2008 ◽

Vol 68 (3) ◽

pp. 507-514 ◽

Author(s):

Juntang Ding ◽

Shengjia Li

Keyword(s):

Boundary Conditions ◽

Blow Up ◽

Global Solutions ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Neumann Boundary Conditions ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Nonlinear Reaction

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