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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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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High-order uniformly convergent method for nonlinear singularly perturbed delay differential equations with small shifts

TURKISH JOURNAL OF MATHEMATICS ◽

10.3906/mat-1508-75 ◽

2016 ◽

Vol 40 ◽

pp. 1144-1167 ◽

Author(s):

Abdelhay SALAMA ◽

Dirhem AL-AMERY

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Singularly Perturbed ◽

Convergent Method ◽

Uniformly Convergent ◽

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 ◽

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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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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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 ◽

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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The boundary-value problem for the linear degenerated singularly perturbed system of differential equations of the second order

Matematychni Studii ◽

10.15330/ms.47.2.185-195 ◽

2015 ◽

Vol 47 (2) ◽

Author(s):

M. Vira

Keyword(s):

Differential Equations ◽

Boundary Value Problem ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

System Of Differential Equations ◽

Singularly Perturbed System ◽

Perturbed System

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Uniformly Convergent Finite Difference Schemes for Singularly Perturbed Convection Diffusion Type Delay Differential Equations

Differential Equations and Dynamical Systems ◽

10.1007/s12591-018-00451-x ◽

2019 ◽

Author(s):

V. Subburayan ◽

N. Ramanujam

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Delay Differential Equations ◽

Difference Schemes ◽

Singularly Perturbed ◽

Finite Difference Schemes ◽

Diffusion Type ◽

Convection Diffusion ◽

Uniformly Convergent ◽

Delay Differential

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A class of finite difference schemes for singularly perturbed delay differential equations of second order

TURKISH JOURNAL OF MATHEMATICS ◽

10.3906/mat-1807-184 ◽

2019 ◽

Vol 43 (3) ◽

pp. 1061-1079 ◽

Author(s):

Pramod Chakravarthy PODILA ◽

Kamalesh KUMAR

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Delay Differential Equations ◽

Second Order ◽

Difference Schemes ◽

Singularly Perturbed ◽

Finite Difference Schemes ◽

Delay Differential

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Parameter uniform numerical method for a singularly perturbed boundary value problem for a linear system of parabolic second order delay differential equations

Malaya Journal of Matematik ◽

10.26637/mjm0702/0004 ◽

2019 ◽

Vol 7 (2) ◽

pp. 147-160

Author(s):

Parthiban Saminathan ◽

Valarmathi Sigamani ◽

Franklin Victor

Keyword(s):

Linear System ◽

Differential Equations ◽

Boundary Value Problem ◽

Numerical Method ◽

Delay Differential Equations ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

Delay Differential

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Asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy

Ukrainian Mathematical Journal ◽

10.1007/bf01062955 ◽

1993 ◽

Vol 45 (4) ◽

pp. 609-624 ◽

Author(s):

V. P. Yakovets

Keyword(s):

General Solution ◽

Differential Equations ◽

Second Order ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Second Order Differential Equations ◽

Perturbed System

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