Uniformly convergent numerical method for singularly perturbed differential-difference equation using grid equidistribution

International Journal for Numerical Methods in Biomedical Engineering ◽

10.1002/cnm.1370 ◽

2010 ◽

pp. n/a-n/a

Author(s):

Jugal Mohapatra ◽

Srinivasan Natesan

Keyword(s):

Difference Equation ◽

Numerical Method ◽

Singularly Perturbed ◽

Uniformly Convergent ◽

Differential Difference Equation

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Uniformly convergent numerical method for a singularly perturbed differential difference equation with mixed type

Bulletin of the Belgian Mathematical Society - Simon Stevin ◽

10.36045/j.bbms.200128 ◽

2020 ◽

Vol 27 (5) ◽

pp. 755-774

Author(s):

Erkan Cimen

Keyword(s):

Difference Equation ◽

Numerical Method ◽

Mixed Type ◽

Singularly Perturbed ◽

Uniformly Convergent ◽

Differential Difference Equation

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Uniformly Convergent Numerical Method for Singularly Perturbed Two Parameter Time Delay Parabolic Problem

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-019-0672-5 ◽

2019 ◽

Vol 5 (3) ◽

Author(s):

L. Govindarao ◽

J. Mohapatra ◽

S. R. Sahu

Keyword(s):

Time Delay ◽

Numerical Method ◽

Parabolic Problem ◽

Singularly Perturbed ◽

Uniformly Convergent ◽

Two Parameter

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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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The interior layer for a nonlinear singularly perturbed differential-difference equation

Acta Mathematica Scientia ◽

10.1016/s0252-9602(12)60049-6 ◽

2012 ◽

Vol 32 (2) ◽

pp. 695-709 ◽

Cited By ~ 4

Author(s):

Wang Aifeng ◽

Ni Mingkang

Keyword(s):

Difference Equation ◽

Singularly Perturbed ◽

Interior Layer ◽

Differential Difference Equation

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A uniformly convergent numerical method for a singularly perturbed Volterra integro-differential equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2019.1585828 ◽

2019 ◽

Vol 97 (4) ◽

pp. 759-771 ◽

Cited By ~ 1

Author(s):

Bakulikira C. Iragi ◽

Justin B. Munyakazi

Keyword(s):

Differential Equation ◽

Numerical Method ◽

Singularly Perturbed ◽

Integro Differential Equation ◽

Uniformly Convergent

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The Step-type Contrast Structure for A Second Order Semi-linear Singularly Perturbed Differential-difference Equation

10.22541/au.158879181.18711108 ◽

2020 ◽

Author(s):

Mei Xu ◽

Honghui Yin

Keyword(s):

Difference Equation ◽

Second Order ◽

Singularly Perturbed ◽

Contrast Structure ◽

Differential Difference Equation ◽

Step Type

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A uniformly convergent numerical method on non-uniform mesh for singularly perturbed unsteady Burger–Huxley equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.05.067 ◽

2008 ◽

Vol 195 (2) ◽

pp. 688-706 ◽

Cited By ~ 5

Author(s):

Aditya Kaushik ◽

M.D. Sharma

Keyword(s):

Numerical Method ◽

Singularly Perturbed ◽

Uniform Mesh ◽

Uniformly Convergent ◽

Huxley Equation

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Maximum norm a posteriori error estimates for a singularly perturbed differential difference equation with small delay

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.10.085 ◽

2014 ◽

Vol 227 ◽

pp. 801-810 ◽

Cited By ~ 4

Author(s):

Li-Bin Liu ◽

Yanping Chen

Keyword(s):

Difference Equation ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Singularly Perturbed ◽

Maximum Norm ◽

A Posteriori ◽

A Posteriori Error ◽

Small Delay ◽

Differential Difference Equation

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A highly accurate numerical method for solving nonlinear time‐fractional differential difference equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5883 ◽

2019 ◽

Author(s):

Muhammad Khalid ◽

Fareeha Sami Khan ◽

Mariam Sultana

Keyword(s):

Difference Equation ◽

Numerical Method ◽

Fractional Differential ◽

Differential Difference Equation

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Second Order Uniformly Convergent Numerical Method for a Coupled System of Singularly Perturbed Reaction-Diffusion Problems with Discontinuous Source Term

Lecture Notes in Computational Science and Engineering - Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014 ◽

10.1007/978-3-319-25727-3_18 ◽

2015 ◽

pp. 233-244 ◽

Cited By ~ 1

Author(s):

S. Chandra Sekhara Rao ◽

Sheetal Chawla

Keyword(s):

Numerical Method ◽

Source Term ◽

Reaction Diffusion ◽

Coupled System ◽

Second Order ◽

Singularly Perturbed ◽

Discontinuous Source Term ◽

Uniformly Convergent ◽

Diffusion Problems

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