Convergence analysis of Richardson extrapolation for a quasilinear singularly perturbed problem with an integral boundary condition on an adaptive grid

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106976 ◽

2021 ◽

Vol 115 ◽

pp. 106976

Author(s):

Li-Bin Liu ◽

Xiu Yang

Keyword(s):

Boundary Condition ◽

Convergence Analysis ◽

Adaptive Grid ◽

Richardson Extrapolation ◽

Singularly Perturbed ◽

Integral Boundary Condition ◽

Singularly Perturbed Problem ◽

Integral Boundary

A second-order adaptive grid method for a nonlinear singularly perturbed problem with an integral boundary condition

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113205 ◽

2021 ◽

Vol 385 ◽

pp. 113205 ◽

Cited By ~ 1

Author(s):

Zhongdi Cen ◽

Li-Bin Liu ◽

Aimin Xu

Keyword(s):

Boundary Condition ◽

Grid Method ◽

Adaptive Grid ◽

Second Order ◽

Singularly Perturbed ◽

Integral Boundary Condition ◽

Singularly Perturbed Problem ◽

Integral Boundary

Uniform numerical approximation for parameter dependent singularly perturbed problem with integral boundary condition

Miskolc Mathematical Notes ◽

10.18514/mmn.2018.2455 ◽

2018 ◽

Vol 19 (1) ◽

pp. 337 ◽

Cited By ~ 2

Author(s):

Mustafa Kudu ◽

Ilhame Amirali ◽

Gabil M. Amiraliyev

Keyword(s):

Boundary Condition ◽

Numerical Approximation ◽

Singularly Perturbed ◽

Integral Boundary Condition ◽

Singularly Perturbed Problem ◽

Integral Boundary ◽

Parameter Dependent

A Second-Order Upwind Difference Scheme for a Singularly Perturbed Problem with Integral Boundary Condition in Netural Network

Lecture Notes in Computer Science - Knowledge-Based Intelligent Information and Engineering Systems ◽

10.1007/978-3-540-74827-4_22 ◽

2007 ◽

pp. 175-181

Author(s):

Zhongdi Cen ◽

Xin Cai

Keyword(s):

Boundary Condition ◽

Difference Scheme ◽

Second Order ◽

Singularly Perturbed ◽

Integral Boundary Condition ◽

Singularly Perturbed Problem ◽

Integral Boundary ◽

Upwind Difference Scheme

A second order accurate method for a parameterized singularly perturbed problem with integral boundary condition

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113894 ◽

2021 ◽

pp. 113894

Author(s):

Mustafa Kudu ◽

Ilhame Amirali ◽

Gabil M. Amiraliyev

Keyword(s):

Boundary Condition ◽

Accurate Method ◽

Second Order ◽

Singularly Perturbed ◽

Integral Boundary Condition ◽

Singularly Perturbed Problem ◽

Integral Boundary

A robust adaptive grid method for a nonlinear singularly perturbed differential equation with integral boundary condition

Numerical Algorithms ◽

10.1007/s11075-019-00700-2 ◽

2019 ◽

Vol 83 (2) ◽

pp. 719-739 ◽

Cited By ~ 5

Author(s):

Li-Bin Liu ◽

Guangqing Long ◽

Zhongdi Cen

Keyword(s):

Differential Equation ◽

Boundary Condition ◽

Grid Method ◽

Adaptive Grid ◽

Singularly Perturbed ◽

Integral Boundary Condition ◽

Integral Boundary ◽

Robust Adaptive ◽

Singularly Perturbed Differential Equation ◽

Perturbed Differential Equation

A parameter uniform difference scheme for the parameterized singularly perturbed problem with integral boundary condition

Advances in Difference Equations ◽

10.1186/s13662-018-1620-0 ◽

2018 ◽

Vol 2018 (1) ◽

Cited By ~ 7

Author(s):

Mustafa Kudu

Keyword(s):

Boundary Condition ◽

Difference Scheme ◽

Singularly Perturbed ◽

Integral Boundary Condition ◽

Singularly Perturbed Problem ◽

Integral Boundary

Stability and convergence analysis on Shishkin mesh for a nonlinear singularly perturbed problem with three-point boundary condition

Quaestiones Mathematicae ◽

10.2989/16073606.2019.1636894 ◽

2019 ◽

Vol 43 (11) ◽

pp. 1527-1540

Author(s):

Derya Arslan

Keyword(s):

Boundary Condition ◽

Convergence Analysis ◽

Shishkin Mesh ◽

Singularly Perturbed ◽

Stability And Convergence ◽

Singularly Perturbed Problem ◽

Point Boundary ◽

Stability And Convergence Analysis

Fitted finite difference method for third order singularly perturbed convection diffusion equations with integral boundary condition

Arab Journal of Mathematical Sciences ◽

10.1016/j.ajmsc.2018.10.002 ◽

2019 ◽

Vol 25 (2) ◽

pp. 231-242

Author(s):

Velusamy Raja ◽

Ayyadurai Tamilselvan

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Singularly Perturbed ◽

Integral Boundary Condition ◽

Diffusion Equations ◽

Third Order ◽

Integral Boundary ◽

Convection Diffusion

A uniformly convergent numerical scheme for singularly perturbed differential equation with integral boundary condition arising in neural network

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2019.102687 ◽

2019 ◽

Vol 10 (4) ◽

pp. 340

Author(s):

D. Shakti ◽

J. Mohapatra

Keyword(s):

Neural Network ◽

Differential Equation ◽

Boundary Condition ◽

Numerical Scheme ◽

Singularly Perturbed ◽

Integral Boundary Condition ◽

Integral Boundary ◽

Uniformly Convergent ◽

Singularly Perturbed Differential Equation ◽

Perturbed Differential Equation

A numerical treatment for singularly perturbed differential equations with integral boundary condition

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.07.060 ◽

2007 ◽

Vol 185 (1) ◽

pp. 574-582 ◽

Cited By ~ 6

Author(s):

G.M. Amiraliyev ◽

I.G. Amiraliyeva ◽

Mustafa Kudu

Keyword(s):

Boundary Condition ◽

Differential Equations ◽

Singularly Perturbed ◽

Integral Boundary Condition ◽

Numerical Treatment ◽

Integral Boundary