A Parameter Uniform Numerical Method for an Initial Value Problem for a System of Singularly Perturbed Delay Differential Equations with Discontinuous Source Terms

Springer Proceedings in Mathematics & Statistics - Differential Equations and Numerical Analysis ◽

10.1007/978-81-322-3598-9_8 ◽

2016 ◽

pp. 135-150

Author(s):

Nagarajan Shivaranjani ◽

John J. H. Miller ◽

Valarmathi Sigamani

Keyword(s):

Differential Equations ◽

Numerical Method ◽

Initial Value Problem ◽

Delay Differential Equations ◽

Singularly Perturbed ◽

Source Terms ◽

Initial Value ◽

Delay Differential

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A Parameter Uniform Method for an Initial Value Problem for a System of Singularly Perturbed Delay Differential Equations

Springer Proceedings in Mathematics & Statistics - Advances in Applied Mathematics ◽

10.1007/978-3-319-06923-4_12 ◽

2014 ◽

pp. 127-138 ◽

Cited By ~ 1

Author(s):

Shivaranjani Nagarajan ◽

Ramanujam Narasimhan ◽

J. J. H. Miller ◽

Valarmathi Sigamani

Keyword(s):

Differential Equations ◽

Initial Value Problem ◽

Delay Differential Equations ◽

Uniform Method ◽

Singularly Perturbed ◽

Initial Value ◽

Delay Differential

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Global solutions of a singular initial value problem to second order nonlinear delay differential equations

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2005.12.005 ◽

2006 ◽

Vol 43 (7-8) ◽

pp. 854-869 ◽

Cited By ~ 8

Author(s):

R.P. Agarwal ◽

Ch.G. Philos ◽

P.Ch. Tsamatos

Keyword(s):

Differential Equations ◽

Initial Value Problem ◽

Delay Differential Equations ◽

Global Solutions ◽

Second Order ◽

Initial Value ◽

Singular Initial Value Problem ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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A numerical method based on finite difference for boundary value problems for singularly perturbed delay differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.08.089 ◽

2008 ◽

Vol 197 (2) ◽

pp. 692-707 ◽

Cited By ~ 33

Author(s):

Mohan K. Kadalbajoo ◽

Kapil K. Sharma

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Boundary Value Problems ◽

Numerical Method ◽

Delay Differential Equations ◽

Boundary Value ◽

Singularly Perturbed ◽

Delay Differential

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Asymptotic numerical method for third-order singularly perturbed convection diffusion delay differential equations

Computational and Applied Mathematics ◽

10.1007/s40314-020-01223-6 ◽

2020 ◽

Vol 39 (3) ◽

Author(s):

V. Subburayan ◽

R. Mahendran

Keyword(s):

Differential Equations ◽

Numerical Method ◽

Delay Differential Equations ◽

Singularly Perturbed ◽

Third Order ◽

Convection Diffusion ◽

Asymptotic Numerical Method ◽

Delay Differential

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An hybrid initial value method for singularly perturbed delay differential equations with interior layers and weak boundary layer

Ain Shams Engineering Journal ◽

10.1016/j.asej.2016.03.018 ◽

2018 ◽

Vol 9 (4) ◽

pp. 727-733 ◽

Cited By ~ 1

Author(s):

V. Subburayan

Keyword(s):

Boundary Layer ◽

Differential Equations ◽

Delay Differential Equations ◽

Singularly Perturbed ◽

Initial Value ◽

Weak Boundary ◽

Interior Layers ◽

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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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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AN IMPROVED INITIAL VALUE METHOD FOR SINGULARLY PERTURBED CONVECTION DIFFUSION DELAY DIFFERENTIAL EQUATIONS

Advances in Mathematics: Scientific Journal ◽

10.37418/amsj.10.2.28 ◽

2020 ◽

Vol 10 (2) ◽

pp. 991-1001

Author(s):

L. S. Senthil Kumar ◽

V. Subburayan

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Singularly Perturbed ◽

Initial Value ◽

Convection Diffusion ◽

Delay Differential

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An ε-uniform numerical method for third order singularly perturbed delay differential equations with discontinuous convection coefficient and source term

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.03.036 ◽

2018 ◽

Vol 331 ◽

pp. 404-415 ◽

Cited By ~ 3

Author(s):

V. Subburayan ◽

R. Mahendran

Keyword(s):

Differential Equations ◽

Numerical Method ◽

Delay Differential Equations ◽

Source Term ◽

Singularly Perturbed ◽

Convection Coefficient ◽

Third Order ◽

Delay Differential

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A finite difference scheme for a class of singularly perturbed initial value problems for delay differential equations

Numerical Algorithms ◽

10.1007/s11075-009-9306-z ◽

2009 ◽

Vol 52 (4) ◽

pp. 663-675 ◽

Cited By ~ 9

Author(s):

Gabil M. Amiraliyev ◽

Fevzi Erdogan

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Difference Scheme ◽

Delay Differential Equations ◽

Finite Difference Scheme ◽

Initial Value Problems ◽

Singularly Perturbed ◽

Initial Value ◽

Delay Differential

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