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

Gabil M. Amiraliyev; Muhammet Enes Durmaz; Mustafa Kudu

doi:10.18514/mmn.2021.2930

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

Numerical Method for a Singularly Perturbed Boundary Value Problem for a Linear Parabolic Second Order Delay Differential Equation

Springer Proceedings in Mathematics & Statistics - Differential Equations and Numerical Analysis ◽

10.1007/978-81-322-3598-9_7 ◽

2016 ◽

pp. 117-133

Author(s):

Parthiban Swaminathan ◽

Valarmathi Sigamani ◽

Franklin Victor

Keyword(s):

Differential Equation ◽

Boundary Value Problem ◽

Numerical Method ◽

Delay Differential Equation ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

Delay Differential

Download Full-text

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

Download Full-text

A Robust Numerical Method for a Singularly Perturbed Fredholm Integro-Differential Equation

Mediterranean Journal of Mathematics ◽

10.1007/s00009-020-01693-2 ◽

2021 ◽

Vol 18 (1) ◽

Author(s):

Muhammet Enes Durmaz ◽

Gabil M. Amiraliyev

Keyword(s):

Differential Equation ◽

Numerical Method ◽

Singularly Perturbed ◽

Integro Differential Equation

Download Full-text

A second order finite difference scheme for singularly perturbed Volterra integro-differential equation

Alexandria Engineering Journal ◽

10.1016/j.aej.2020.03.007 ◽

2020 ◽

Vol 59 (4) ◽

pp. 2441-2447

Author(s):

Nana Adjoah Mbroh ◽

Suares Clovis Oukouomi Noutchie ◽

Rodrigue Yves M’pika Massoukou

Keyword(s):

Differential Equation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Second Order ◽

Singularly Perturbed ◽

Integro Differential Equation

Download Full-text

A second-order accurate numerical method for a semilinear integro-differential equation with a weakly singular kernel

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drn075 ◽

2009 ◽

Vol 30 (2) ◽

pp. 555-578 ◽

Cited By ~ 15

Author(s):

K. Mustapha ◽

H. Mustapha

Keyword(s):

Differential Equation ◽

Numerical Method ◽

Second Order ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

Integro Differential Equation ◽

Weakly Singular

Download Full-text

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

Download Full-text

Numerical method for a boundary value problem for a linear singularly perturbed parabolic delay differential equation of reaction-diffusion type with discontinuous source term

Journal of Physics Conference Series ◽

10.1088/1742-6596/1850/1/012063 ◽

2021 ◽

Vol 1850 (1) ◽

pp. 012063

Author(s):

Parthiban Saminathan ◽

Franklin Victor

Keyword(s):

Differential Equation ◽

Boundary Value Problem ◽

Numerical Method ◽

Delay Differential Equation ◽

Source Term ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Diffusion Type ◽

Discontinuous Source Term ◽

Delay Differential

Download Full-text