Convergence analysis of the homogeneous second order difference method for a singularly perturbed Volterra delay-integro-differential equation

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2021.111100 ◽

2021 ◽

Vol 150 ◽

pp. 111100

Author(s):

Ömer Yapman ◽

Gabil M. Amiraliyev

Keyword(s):

Differential Equation ◽

Convergence Analysis ◽

Difference Method ◽

Second Order ◽

Singularly Perturbed ◽

Order Difference ◽

Integro Differential Equation

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A second-order fitted operator finite difference method for a singularly perturbed delay parabolic partial differential equation

The Journal of Difference Equations and Applications ◽

10.1080/10236190903305450 ◽

2011 ◽

Vol 17 (05) ◽

pp. 779-794 ◽

Cited By ~ 10

Author(s):

E.B.M. Bashier ◽

K.C. Patidar

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Second Order ◽

Singularly Perturbed ◽

Parabolic Partial Differential Equation ◽

Partial Differential ◽

Fitted Operator

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Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0121 ◽

2019 ◽

Vol 11 (2) ◽

pp. 486-500

Author(s):

Weishan Zheng

Keyword(s):

Differential Equation ◽

Convergence Analysis ◽

Spectral Methods ◽

Second Order ◽

Integro Differential Equation ◽

Equation With Delay

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Convergence analysis of fitted numerical method for a singularly perturbed nonlinear Volterra integro-differential equation with delay

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.01.026 ◽

2019 ◽

Vol 355 ◽

pp. 301-309 ◽

Cited By ~ 3

Author(s):

Ömer Yapman ◽

Gabil M. Amiraliyev ◽

Ilhame Amirali

Keyword(s):

Differential Equation ◽

Numerical Method ◽

Convergence Analysis ◽

Singularly Perturbed ◽

Integro Differential Equation ◽

Equation With Delay

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A uniformly convergent second order difference scheme for a singularly perturbed self-adjoint ordinary differential equation in conservation form

Applied Mathematics and Mechanics ◽

10.1007/bf02014617 ◽

1989 ◽

Vol 10 (3) ◽

pp. 231-241 ◽

Cited By ~ 1

Author(s):

Guo Wen ◽

Lin Peng-cheng

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Difference Scheme ◽

Second Order ◽

Singularly Perturbed ◽

Order Difference ◽

Uniformly Convergent

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A numerical method for a second order singularly perturbed Fredholm integro-differential equation

Miskolc Mathematical Notes ◽

10.18514/mmn.2021.2930 ◽

2021 ◽

Vol 22 (1) ◽

pp. 37

Author(s):

Gabil M. Amiraliyev ◽

Muhammet Enes Durmaz ◽

Mustafa Kudu

Keyword(s):

Differential Equation ◽

Numerical Method ◽

Second Order ◽

Singularly Perturbed ◽

Integro Differential Equation

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Fitted second order numerical method for a singularly perturbed Fredholm integro-differential equation

Bulletin of the Belgian Mathematical Society - Simon Stevin ◽

10.36045/bbms/1590199305 ◽

2020 ◽

Vol 27 (1) ◽

pp. 71-88 ◽

Cited By ~ 1

Author(s):

Gabil M. Amiraliyev ◽

Muhammet Enes Durmaz ◽

Mustafa Kudu

Keyword(s):

Differential Equation ◽

Numerical Method ◽

Second Order ◽

Singularly Perturbed ◽

Integro Differential Equation

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A finite-difference method for a singularly perturbed delay integro-differential equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.06.018 ◽

2016 ◽

Vol 308 ◽

pp. 379-390 ◽

Cited By ~ 8

Author(s):

Mustafa Kudu ◽

Ilhame Amirali ◽

Gabil M. Amiraliyev

Keyword(s):

Differential Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Singularly Perturbed ◽

Integro Differential Equation

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Uniform Second-Order Difference Method for a Singularly Perturbed Three-Point Boundary Value Problem

Advances in Difference Equations ◽

10.1155/2010/102484 ◽

2010 ◽

Vol 2010 ◽

pp. 1-13 ◽

Cited By ~ 3

Author(s):

Musa Çakır

Keyword(s):

Boundary Value Problem ◽

Difference Method ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

Point Boundary ◽

Order Difference

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Uniform Second-Order Difference Method for a Singularly Perturbed Three-Point Boundary Value Problem

Advances in Difference Equations ◽

10.1186/1687-1847-2010-102484 ◽

2010 ◽

Vol 2010 (1) ◽

pp. 102484

Author(s):

Musa Çakır

Keyword(s):

Boundary Value Problem ◽

Difference Method ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

Point Boundary ◽

Order Difference

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A novel second-order fitted computational method for a singularly perturbed Volterra integro-differential equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2019.1614565 ◽

2019 ◽

Vol 97 (6) ◽

pp. 1293-1302 ◽

Cited By ~ 1

Author(s):

Ömer Yapman ◽

Gabil M. Amiraliyev

Keyword(s):

Differential Equation ◽

Second Order ◽

Computational Method ◽

Singularly Perturbed ◽

Integro Differential Equation

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