Parameter Uniform Method for a Singularly Perturbed System of Delay Differential Equations of Reaction–Diffusion Type with Integral Boundary Conditions

Elango Sekar; Ayyadurai Tamilselvan

doi:10.1007/s40819-019-0675-2

Parameter Uniform Method for a Singularly Perturbed System of Delay Differential Equations of Reaction–Diffusion Type with Integral Boundary Conditions

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-019-0675-2 ◽

2019 ◽

Vol 5 (3) ◽

Author(s):

Elango Sekar ◽

Ayyadurai Tamilselvan

Keyword(s):

Delay Differential Equations ◽

Integral Boundary Conditions ◽

Reaction Diffusion ◽

Uniform Method ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Diffusion Type ◽

Integral Boundary ◽

Perturbed System ◽

Delay Differential

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AN INITIAL VALUE METHOD FOR SINGULARLY PERTURBED SYSTEM OF REACTION-DIFFUSION TYPE DELAY DIFFERENTIAL EQUATIONS

Journal of the Korea Society for Industrial and Applied Mathematics ◽

10.12941/jksiam.2013.17.221 ◽

2013 ◽

Vol 17 (4) ◽

pp. 221-237 ◽

Cited By ~ 4

Author(s):

V. Subburayan ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Initial Value ◽

Diffusion Type ◽

Perturbed System ◽

Delay Differential

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On the internal layer for a singularly perturbed system of second-order delay differential equations

Differential Equations ◽

10.1134/s001226611308003x ◽

2013 ◽

Vol 49 (8) ◽

pp. 941-954

Author(s):

Mingkang Ni

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Second Order ◽

Singularly Perturbed ◽

Internal Layer ◽

Singularly Perturbed System ◽

Perturbed System ◽

Delay Differential

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A SDFEM for Singularly Perturbed System of Convection-Diffusion Delay Differential Equations

IOP Conference Series Materials Science and Engineering ◽

10.1088/1757-899x/1130/1/012076 ◽

2021 ◽

Vol 1130 (1) ◽

pp. 012076

Author(s):

L.S. Senthilkumar ◽

V. Subburayan

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Convection Diffusion ◽

Perturbed System ◽

Delay Differential

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Partially Singularly Perturbed System of Delay Differential Equations and a Second Order Uniformly Convergent Method

IOP Conference Series Materials Science and Engineering ◽

10.1088/1757-899x/1130/1/012011 ◽

2021 ◽

Vol 1130 (1) ◽

pp. 012011

Author(s):

L S Senthilkumar ◽

V Subburayan

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Second Order ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Perturbed System ◽

Convergent Method ◽

Uniformly Convergent ◽

Delay Differential

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Computational method for singularly perturbed delay differential equations of the reaction-diffusion type with negative shift

Journal of Ocean Engineering and Science ◽

10.1016/j.joes.2021.02.001 ◽

2021 ◽

Author(s):

Gashu Gadisa Kiltu ◽

Gemechis File Duressa ◽

Tesfaye Aga Bullo

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Reaction Diffusion ◽

Computational Method ◽

Singularly Perturbed ◽

Diffusion Type ◽

Negative Shift ◽

Delay Differential

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A Numerical Scheme for Solving a Coupled System of Singularly Perturbed Delay Differential Equations of Reaction–Diffusion Type

Numerical Heat Transfer and Fluid Flow - Lecture Notes in Mechanical Engineering ◽

10.1007/978-981-13-1903-7_35 ◽

2018 ◽

pp. 305-312

Author(s):

Trun Gupta ◽

P. Pramod Chakravarthy

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Numerical Scheme ◽

Reaction Diffusion ◽

Coupled System ◽

Singularly Perturbed ◽

Diffusion Type ◽

Delay Differential

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A Novel Method for Singularly Perturbed Delay Differential Equations of Reaction-Diffusion Type

Differential Equations and Dynamical Systems ◽

10.1007/s12591-017-0399-x ◽

2017 ◽

Cited By ~ 2

Author(s):

P. Pramod Chakravarthy ◽

Kamalesh Kumar

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Diffusion Type ◽

Novel Method ◽

Delay Differential

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Singularly perturbed delay differential equations of convection–diffusion type with integral boundary condition

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-018-1198-4 ◽

2018 ◽

Vol 59 (1-2) ◽

pp. 701-722 ◽

Cited By ~ 3

Author(s):

E. Sekar ◽

A. Tamilselvan

Keyword(s):

Boundary Condition ◽

Differential Equations ◽

Delay Differential Equations ◽

Singularly Perturbed ◽

Integral Boundary Condition ◽

Diffusion Type ◽

Integral Boundary ◽

Convection Diffusion ◽

Delay Differential

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An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh

Numerical Algorithms ◽

10.1007/s11075-018-0557-4 ◽

2018 ◽

Vol 81 (2) ◽

pp. 465-487 ◽

Cited By ~ 19

Author(s):

Pratibhamoy Das

Keyword(s):

Differential Equations ◽

Convergence Analysis ◽

Delay Differential Equations ◽

Adaptive Mesh ◽

Singularly Perturbed ◽

A Posteriori ◽

Singularly Perturbed System ◽

Perturbed System ◽

Delay Differential

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Third order singularly perturbed delay differential equation of reaction diffusion type with integral boundary condition

Journal of Applied Mathematics and Computational Mechanics ◽

10.17512/jamcm.2019.2.09 ◽

2019 ◽

Vol 18 (2) ◽

pp. 99-110

Author(s):

Elango Sekar ◽

Ayyadurai Tamilselvan

Keyword(s):

Differential Equation ◽

Boundary Condition ◽

Delay Differential Equation ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Integral Boundary Condition ◽

Third Order ◽

Diffusion Type ◽

Integral Boundary ◽

Delay Differential

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