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

Bakulikira C. Iragi; Justin B. Munyakazi

doi:10.1080/00207160.2019.1585828

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

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 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

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

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

Download Full-text

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

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

A Numerical Method for an Integro-Differential Equation with Memory in Banach Spaces: Qualitative Properties

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902402481 ◽

2003 ◽

Vol 41 (4) ◽

pp. 1232-1241 ◽

Cited By ~ 36

Author(s):

E. Cuesta ◽

C. Palencia

Keyword(s):

Differential Equation ◽

Numerical Method ◽

Banach Spaces ◽

Qualitative Properties ◽

Integro Differential Equation ◽

With Memory

Download Full-text

A posteriori error estimation for a singularly perturbed Volterra integro-differential equation

Numerical Algorithms ◽

10.1007/s11075-019-00693-y ◽

2019 ◽

Vol 83 (2) ◽

pp. 549-563 ◽

Cited By ~ 2

Author(s):

Jian Huang ◽

Zhongdi Cen ◽

Aimin Xu ◽

Li-Bin Liu

Keyword(s):

Differential Equation ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Singularly Perturbed ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Integro Differential Equation

Download Full-text

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

Download Full-text