Fractional Step Method for Singularly Perturbed 2D Delay Parabolic Convection Diffusion Problems on Shishkin Mesh

Abhishek Das; Srinivasan Natesan

doi:10.1007/s40819-018-0499-5

Fractional Step Method for Singularly Perturbed 2D Delay Parabolic Convection Diffusion Problems on Shishkin Mesh

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-018-0499-5 ◽

2018 ◽

Vol 4 (2) ◽

Cited By ~ 1

Author(s):

Abhishek Das ◽

Srinivasan Natesan

Keyword(s):

Shishkin Mesh ◽

Singularly Perturbed ◽

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Convection Diffusion ◽

Diffusion Problems

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Higher-order convergence with fractional-step method for singularly perturbed 2D parabolic convection–diffusion problems on Shishkin mesh

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.12.013 ◽

2018 ◽

Vol 75 (7) ◽

pp. 2387-2403 ◽

Cited By ~ 3

Author(s):

Abhishek Das ◽

Srinivasan Natesan

Keyword(s):

Higher Order ◽

Shishkin Mesh ◽

Singularly Perturbed ◽

Fractional Step ◽

Order Convergence ◽

Step Method ◽

Fractional Step Method ◽

Convection Diffusion ◽

Higher Order Convergence ◽

Diffusion Problems

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A fractional step method on a special mesh for the resolution of multidimensional evolutionary convection-diffusion problems

Applied Numerical Mathematics ◽

10.1016/s0168-9274(98)00014-2 ◽

1998 ◽

Vol 27 (3) ◽

pp. 211-231 ◽

Cited By ~ 31

Author(s):

C. Clavero ◽

J.C. Jorge ◽

F. Lisbona ◽

G.I. Shishkin

Keyword(s):

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Convection Diffusion ◽

Diffusion Problems

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A fractional step method for 2D parabolic convection-diffusion singularly perturbed problems: uniform convergence and order reduction

Numerical Algorithms ◽

10.1007/s11075-016-0221-9 ◽

2016 ◽

Vol 75 (3) ◽

pp. 809-826 ◽

Cited By ~ 3

Author(s):

C. Clavero ◽

J. C. Jorge

Keyword(s):

Uniform Convergence ◽

Order Reduction ◽

Singularly Perturbed ◽

Fractional Step ◽

Singularly Perturbed Problems ◽

Step Method ◽

Fractional Step Method ◽

Convection Diffusion

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Uniformly convergent numerical method for singularly perturbed 2D delay parabolic convection-diffusion problems on Bakhvalov-Shishkin mesh

International Journal of Mathematical Modelling and Numerical Optimisation ◽

10.1504/ijmmno.2018.10015799 ◽

2018 ◽

Vol 8 (4) ◽

pp. 305

Author(s):

Abhishek Das ◽

Srinivasan Natesan

Keyword(s):

Numerical Method ◽

Shishkin Mesh ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Uniformly Convergent ◽

Diffusion Problems

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Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh

ETNA - Electronic Transactions on Numerical Analysis ◽

10.1553/etna_vol48s40 ◽

2018 ◽

Vol 48 ◽

pp. 40-62 ◽

Cited By ~ 2

Author(s):

Carlos Echeverría ◽

Jörg Liesen ◽

Daniel B. Szyld ◽

Petr Tichý

Keyword(s):

Shishkin Mesh ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Schwarz Method ◽

Diffusion Problems

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Parameter-uniform numerical method for singularly perturbed 2D delay parabolic convection–diffusion problems on Shishkin mesh

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-018-1175-y ◽

2018 ◽

Vol 59 (1-2) ◽

pp. 207-225

Author(s):

Abhishek Das ◽

Srinivasan Natesan

Keyword(s):

Numerical Method ◽

Shishkin Mesh ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Diffusion Problems

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Uniformly convergent numerical method for singularly perturbed 2D delay parabolic convection-diffusion problems on Bakhvalov-Shishkin mesh

International Journal of Mathematical Modelling and Numerical Optimisation ◽

10.1504/ijmmno.2018.094545 ◽

2018 ◽

Vol 8 (4) ◽

pp. 305

Author(s):

Abhishek Das ◽

Srinivasan Natesan

Keyword(s):

Numerical Method ◽

Shishkin Mesh ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Uniformly Convergent ◽

Diffusion Problems

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Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection–diffusion problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-018-1203-y ◽

2018 ◽

Vol 60 (1-2) ◽

pp. 51-86

Author(s):

Kaushik Mukherjee ◽

Srinivasan Natesan

Keyword(s):

Numerical Scheme ◽

Singularly Perturbed ◽

Fractional Step ◽

Convection Diffusion ◽

Diffusion Problems

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Uniformly convergent hybrid numerical scheme for singularly perturbed delay parabolic convection–diffusion problems on Shishkin mesh

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.08.137 ◽

2015 ◽

Vol 271 ◽

pp. 168-186 ◽

Cited By ~ 12

Author(s):

Abhishek Das ◽

Srinivasan Natesan

Keyword(s):

Numerical Scheme ◽

Shishkin Mesh ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Uniformly Convergent ◽

Diffusion Problems

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A high order robust numerical scheme for singularly perturbed delay parabolic convection diffusion problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01512-1 ◽

2021 ◽

Author(s):

Gajendra Babu ◽

Komal Bansal

Keyword(s):

Numerical Scheme ◽

High Order ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Diffusion Problems

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