Uniformly convergent novel finite difference methods for singularly perturbed reaction–diffusion equations

Xuefei He; Kun Wang

doi:10.1002/num.22405

Uniformly convergent novel finite difference methods for singularly perturbed reaction–diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22405 ◽

2019 ◽

Vol 35 (6) ◽

pp. 2120-2148 ◽

Cited By ~ 4

Author(s):

Xuefei He ◽

Kun Wang

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Uniformly Convergent ◽

Difference Methods

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Damping characteristics of finite difference methods for one-dimensional reaction–diffusion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.04.023 ◽

2006 ◽

Vol 182 (1) ◽

pp. 607-609 ◽

Cited By ~ 1

Author(s):

J.I. Ramos

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

One Dimensional ◽

Damping Characteristics ◽

Difference Methods

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Finite-difference methods for solving the reaction-diffusion equations of a simple isothermal chemical system

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690100404 ◽

1994 ◽

Vol 10 (4) ◽

pp. 435-454 ◽

Cited By ~ 15

Author(s):

E. H. Twizell ◽

Yigong Wang ◽

W. G. Price ◽

F. Fakhr

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Chemical System ◽

Difference Methods

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Efficient compact finite difference methods for a class of time-fractional convection–reaction–diffusion equations with variable coefficients

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1437262 ◽

2018 ◽

Vol 96 (2) ◽

pp. 264-297 ◽

Cited By ~ 10

Author(s):

Yuan-Ming Wang ◽

Lei Ren

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Reaction Diffusion ◽

Variable Coefficients ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Compact Finite Difference ◽

Difference Methods

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Stability and Convergence of Finite Difference Methods for Systems of Nonlinear Reaction-Diffusion Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0715077 ◽

1978 ◽

Vol 15 (6) ◽

pp. 1161-1177 ◽

Cited By ~ 64

Author(s):

David Hoff

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Stability And Convergence ◽

Nonlinear Reaction ◽

Difference Methods

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Numerical solution of linear one dimensional Fisher’s reaction diffusion equations by finite difference methods

10.1063/5.0075508 ◽

2021 ◽

Author(s):

Nur Aishah Jamaludin ◽

Amirah Azmi

Keyword(s):

Finite Difference ◽

Numerical Solution ◽

Finite Difference Methods ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

One Dimensional ◽

Difference Methods

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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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A finite-difference scheme for a coupled system of singularly perturbed time-dependent reaction–diffusion equations with discontinuous source terms

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1733538 ◽

2020 ◽

pp. 1-16

Author(s):

K. Aarthika ◽

V. Shanthi ◽

Higinio Ramos

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Time Dependent ◽

Diffusion Equations ◽

Source Terms

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ε-Uniformly convergent non-standard finite difference methods for singularly perturbed differential difference equations with small delay

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.08.006 ◽

2006 ◽

Vol 175 (1) ◽

pp. 864-890 ◽

Cited By ~ 20

Author(s):

Kailash C. Patidar ◽

Kapil K. Sharma

Keyword(s):

Finite Difference ◽

Difference Equations ◽

Finite Difference Methods ◽

Singularly Perturbed ◽

Small Delay ◽

Uniformly Convergent ◽

Difference Methods

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Uniformly convergent finite difference methods for singularly perturbed problems with turning points

Numerical Algorithms ◽

10.1007/bf02145752 ◽

1993 ◽

Vol 4 (3) ◽

pp. 339-359 ◽

Cited By ~ 7

Author(s):

Carmelo Clavero ◽

Francisco Lisbona

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Turning Points ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Uniformly Convergent ◽

Difference Methods

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An almost fourth order uniformly convergent domain decomposition method for a coupled system of singularly perturbed reaction–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.01.047 ◽

2011 ◽

Vol 235 (11) ◽

pp. 3342-3354 ◽

Cited By ~ 12

Author(s):

S. Chandra Sekhara Rao ◽

Sunil Kumar

Keyword(s):

Domain Decomposition ◽

Fourth Order ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Uniformly Convergent

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