Multi-peak solutions of non-linear elliptic singularly perturbed reaction-diffusion equations using finite element simulation

Journal of the Taiwan Institute of Chemical Engineers ◽

10.1016/j.jtice.2014.12.001 ◽

2015 ◽

Vol 50 ◽

pp. 56-68

Author(s):

Akhilesh Kumar Singh ◽

Manoj Kumar

Keyword(s):

Finite Element ◽

Finite Element Simulation ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Element Simulation ◽

Non Linear

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A finite element analysis of a coupled system of singularly perturbed reaction–diffusion equations

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00955-4 ◽

2004 ◽

Vol 148 (3) ◽

pp. 869-880 ◽

Cited By ~ 10

Author(s):

Torsten Linß ◽

Niall Madden

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Element Analysis

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A discontinuous Galerkin least-squares finite element method for solving coupled singularly perturbed reaction–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.02.052 ◽

2016 ◽

Vol 307 ◽

pp. 134-142

Author(s):

Runchang Lin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Discontinuous Galerkin ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Element Method

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Singular Traveling Waves and Non-linear Reaction-Diffusion Equations

Computational Mathematics, Numerical Analysis and Applications - SEMA SIMAI Springer Series ◽

10.1007/978-3-319-49631-3_5 ◽

2017 ◽

pp. 189-194 ◽

Cited By ~ 1

Author(s):

Juan Calvo

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Linear Reaction ◽

Non Linear

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A Class of Error Estimators Based on Interpolating the Finite Element Solutions for Reaction-Diffusion Equations

Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4612-4248-2_7 ◽

1995 ◽

pp. 129-151 ◽

Cited By ~ 2

Author(s):

Tao Lin ◽

Hong Wang

Keyword(s):

Finite Element ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Error Estimators

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About the Approximate Solutions to Linear and Non-Linear Pseudodifferential Reaction Diffusion Equations

Mohyla Mathematical Journal ◽

10.18523/2617-70802201941-45 ◽

2019 ◽

Vol 2 (0) ◽

pp. 41-45

Author(s):

Yaroslav Drin ◽

Yuri Ushenko ◽

Iryna Drin ◽

Svitlana Drin

Keyword(s):

Reaction Diffusion ◽

Approximate Solutions ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Non Linear

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Maximum Norm a Posteriori Error Estimation for a System of Singularly Perturbed Semilinear Reaction-Diffusion Equations

Numerical Analysis and Applicable Mathematics ◽

10.36686/ariviyal.naam.2020.01.01.003 ◽

2020 ◽

Vol 1 (1) ◽

Author(s):

Ying Liang ◽

Xiaobing Bao ◽

Li-Bin Liu

Keyword(s):

Error Estimation ◽

Reaction Diffusion ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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Analysis and implementation of a computational technique for a coupled system of two singularly perturbed parabolic semilinear reaction–diffusion equations having discontinuous source terms

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2021.106232 ◽

2022 ◽

pp. 106232

Author(s):

S. Chandra Sekhara Rao ◽

Abhay Kumar Chaturvedi

Keyword(s):

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Computational Technique ◽

Source Terms

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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

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Two-grid algorithm for a system of singularly perturbed reaction-diffusion equations on Shishkin mesh

Journal of Physics Conference Series ◽

10.1088/1742-6596/1546/1/012104 ◽

2020 ◽

Vol 1546 ◽

pp. 012104

Author(s):

S V Tikhovskaya ◽

M F Korbut

Keyword(s):

Reaction Diffusion ◽

Shishkin Mesh ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Grid Algorithm

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A Nonlinear Singularly Perturbed Problem for Reaction Diffusion Equations with Boundary Perturbation

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-005-0220-4 ◽

2005 ◽

Vol 21 (1) ◽

pp. 101-104 ◽

Cited By ~ 20

Author(s):

Jia-qi Mo ◽

Wan-tao Lin

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Singularly Perturbed Problem ◽

Boundary Perturbation

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