A domain decomposition method for solving singularly perturbed parabolic reaction-diffusion problems with time delay

Joginder Singh; Sunil Kumar; Mukesh Kumar

doi:10.1002/num.22256

A domain decomposition method for solving singularly perturbed parabolic reaction-diffusion problems with time delay

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22256 ◽

2018 ◽

Vol 34 (5) ◽

pp. 1849-1866 ◽

Cited By ~ 9

Author(s):

Joginder Singh ◽

Sunil Kumar ◽

Mukesh Kumar

Keyword(s):

Time Delay ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Diffusion Problems

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Overlapping domain decomposition method for singularly perturbed third order reaction-diffusion problems

Ain Shams Engineering Journal ◽

10.1016/j.asej.2016.09.018 ◽

2018 ◽

Vol 9 (4) ◽

pp. 2171-2181

Author(s):

J. Christy Roja ◽

A. Tamilselvan

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Reaction Diffusion ◽

Order Reaction ◽

Singularly Perturbed ◽

Third Order ◽

Overlapping Domain Decomposition ◽

Diffusion Problems

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A robust domain decomposition method for singularly perturbed parabolic reaction-diffusion systems

Journal of Mathematical Chemistry ◽

10.1007/s10910-019-01026-z ◽

2019 ◽

Vol 57 (5) ◽

pp. 1557-1578 ◽

Cited By ~ 1

Author(s):

Sunil Kumar ◽

Joginder Singh ◽

Mukesh Kumar

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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An almost fourth order uniformly convergent domain decomposition method for a coupled system of singularly perturbed reaction–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.01.047 ◽

2011 ◽

Vol 235 (11) ◽

pp. 3342-3354 ◽

Cited By ~ 12

Author(s):

S. Chandra Sekhara Rao ◽

Sunil Kumar

Keyword(s):

Domain Decomposition ◽

Fourth Order ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Uniformly Convergent

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A High Order Accurate Overlapping Domain Decomposition Method for Singularly Perturbed Reaction-Diffusion Systems

Finite Difference Methods. Theory and Applications - Lecture Notes in Computer Science ◽

10.1007/978-3-030-11539-5_56 ◽

2019 ◽

pp. 484-492

Author(s):

Joginder Singh ◽

Sunil Kumar ◽

Mukesh Kumar

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Reaction Diffusion ◽

High Order ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Overlapping Domain Decomposition

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B-Spline Collocation with Domain Decomposition Method and Its Application for Singularly Perturbed Convection-Diffusion Problems

Recent Trends in Physics of Material Science and Technology - Springer Series in Materials Science ◽

10.1007/978-981-287-128-2_3 ◽

2014 ◽

pp. 27-47

Author(s):

Mas Irfan P. Hidayat ◽

Bambang Ariwahjoedi ◽

Setyamartana Parman

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Singularly Perturbed ◽

Spline Collocation ◽

B Spline ◽

Convection Diffusion ◽

Diffusion Problems

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An iteration-by-subdomain overlapping Dirichlet/Robin domain decomposition method for advection–diffusion problems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(03)00447-3 ◽

2003 ◽

Vol 158 (2) ◽

pp. 243-276 ◽

Cited By ~ 15

Author(s):

Guillaume Houzeaux ◽

Ramon Codina

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Advection Diffusion ◽

Diffusion Problems

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A balancing domain decomposition method by constraints for advection-diffusion problems

Communications in Applied Mathematics and Computational Science ◽

10.2140/camcos.2008.3.25 ◽

2008 ◽

Vol 3 (1) ◽

pp. 25-60 ◽

Cited By ~ 19

Author(s):

Xuemin Tu ◽

Jing Li

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Advection Diffusion ◽

Balancing Domain Decomposition ◽

Diffusion Problems

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DOMAIN DECOMPOSITION METHOD FOR SINGULARLY PERTURBED DIFFERENTIAL DIFFERENCE EQUATIONS WITH LAYER BEHAVIOR

International Journal Of Engineering & Applied Sciences ◽

10.24107/ijeas.251236 ◽

2015 ◽

Vol 7 (1) ◽

pp. 86-86 ◽

Cited By ~ 2

Author(s):

Gemechis File Duressa ◽

Y. N. Reddy

Keyword(s):

Domain Decomposition ◽

Difference Equations ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Singularly Perturbed ◽

Layer Behavior

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A theoretical and numerical analysis of a Dirichlet-Neumann domain decomposition method for diffusion problems in heterogeneous media

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.11.012 ◽

2021 ◽

Author(s):

Alex Viguerie ◽

Silvia Bertoluzza ◽

Alessandro Veneziani ◽

Ferdinando Auricchio

Keyword(s):

Numerical Analysis ◽

Domain Decomposition ◽

Decomposition Method ◽

Heterogeneous Media ◽

Domain Decomposition Method ◽

Theoretical And Numerical Analysis ◽

Diffusion Problems

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A multi-timestep Robin–Robin domain decomposition method for time dependent advection-diffusion problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.124596 ◽

2019 ◽

Vol 363 ◽

pp. 124596

Author(s):

Claudio Canuto ◽

Andrea Lo Giudice

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Time Dependent ◽

Advection Diffusion ◽

Diffusion Problems

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