Numerical analysis of singularly perturbed delay differential turning point problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.08.095 ◽

2011 ◽

Vol 218 (7) ◽

pp. 3483-3498 ◽

Author(s):

Pratima Rai ◽

Kapil K. Sharma

Keyword(s):

Numerical Analysis ◽

Turning Point ◽

Singularly Perturbed ◽

Point Problem ◽

Delay Differential

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Robust higher order finite difference scheme for singularly perturbed turning point problem with two outflow boundary layers

Computational and Applied Mathematics ◽

10.1007/s40314-021-01564-w ◽

2021 ◽

Vol 40 (5) ◽

Author(s):

Vikas Gupta ◽

Sanjay K. Sahoo ◽

Ritesh K. Dubey

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Boundary Layers ◽

Finite Difference Scheme ◽

Turning Point ◽

Higher Order ◽

Singularly Perturbed ◽

Point Problem ◽

Outflow Boundary

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Collocation method using artificial viscosity for solving stiff singularly perturbed turning point problem having twin boundary layers

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2011.01.028 ◽

2011 ◽

Vol 61 (6) ◽

pp. 1595-1607 ◽

Author(s):

Mohan K. Kadalbajoo ◽

Puneet Arora ◽

Vikas Gupta

Keyword(s):

Twin Boundary ◽

Collocation Method ◽

Boundary Layers ◽

Turning Point ◽

Artificial Viscosity ◽

Singularly Perturbed ◽

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A Robust Numerical Scheme for Singularly Perturbed Delay Differential Equations with Turning Point

International Journal for Computational Methods in Engineering Science and Mechanics ◽

10.1080/15502287.2019.1687608 ◽

2019 ◽

Vol 20 (5) ◽

pp. 423-433

Author(s):

Kapil K. Sharma ◽

Pratima Rai ◽

Pankaj Mishra

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Numerical Scheme ◽

Turning Point ◽

Singularly Perturbed ◽

Delay Differential

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A Singularly Perturbed Turning Point Problem

Linear Turning Point Theory - Applied Mathematical Sciences ◽

10.1007/978-1-4612-1090-0_11 ◽

1985 ◽

pp. 197-214

Author(s):

Wolfgang Wasow

Keyword(s):

Turning Point ◽

Singularly Perturbed ◽

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Sufficient Conditions for the Uniform Convergence of a Difference Scheme for a Singularly Perturbed Turning Point Problem

SIAM Journal on Numerical Analysis ◽

10.1137/0725038 ◽

1988 ◽

Vol 25 (3) ◽

pp. 618-643 ◽

Author(s):

Paul A. Farrell

Keyword(s):

Difference Scheme ◽

Uniform Convergence ◽

Turning Point ◽

Sufficient Conditions ◽

Singularly Perturbed ◽

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Parameter Uniform Numerical Method for a Weakly Coupled System of Second Order Singularly Perturbed Turning Point Problem with Robin Boundary Conditions

Procedia Engineering ◽

10.1016/j.proeng.2015.11.363 ◽

2015 ◽

Vol 127 ◽

pp. 670-677

Author(s):

N. Geetha ◽

A. Tamilselvan

Keyword(s):

Boundary Conditions ◽

Numerical Method ◽

Turning Point ◽

Coupled System ◽

Singularly Perturbed ◽

Point Problem ◽

Robin Boundary Conditions ◽

Weakly Coupled ◽

Weakly Coupled System ◽

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Singularly Perturbed Convection-Diffusion Turning Point Problem with Shifts

Mathematical Analysis and its Applications - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-81-322-2485-3_31 ◽

2015 ◽

pp. 381-391

Author(s):

Pratima Rai ◽

Kapil K. Sharma

Keyword(s):

Turning Point ◽

Singularly Perturbed ◽

Point Problem ◽

Convection Diffusion

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Fitted mesh numerical method for singularly perturbed delay differential turning point problems exhibiting boundary layers

International Journal of Computer Mathematics ◽

10.1080/00207160.2012.668890 ◽

2012 ◽

Vol 89 (7) ◽

pp. 944-961 ◽

Author(s):

Pratima Rai ◽

Kapil K. Sharma

Keyword(s):

Numerical Method ◽

Boundary Layers ◽

Turning Point ◽

Singularly Perturbed ◽

Delay Differential

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The Singularly Perturbed Turning-Point Problem: A Geometric Approach

Singular Perturbations and Asymptotics ◽

10.1016/b978-0-12-493260-9.50011-4 ◽

1980 ◽

pp. 173-190 ◽

Author(s):

Nancy Kopell

Keyword(s):

Turning Point ◽

Geometric Approach ◽

Singularly Perturbed ◽

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The Singularly Perturbed Turning-Point Problem: A Spectral Approach

Singular Perturbations and Asymptotics ◽

10.1016/b978-0-12-493260-9.50010-2 ◽

1980 ◽

pp. 149-172 ◽

Author(s):

Pieter P.N. de Groen

Keyword(s):

Turning Point ◽

Singularly Perturbed ◽

Point Problem ◽

Spectral Approach

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