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 ◽

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

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Singularly perturbed first-order differential equations with integral boundary condition

Journal of Shanghai University (English Edition) ◽

10.1007/s11741-009-0105-1 ◽

2009 ◽

Vol 13 (1) ◽

pp. 20-22 ◽

Author(s):

Lian Zhang ◽

Feng Xie

Keyword(s):

Boundary Condition ◽

Differential Equations ◽

Singularly Perturbed ◽

Integral Boundary Condition ◽

Integral Boundary ◽

First Order ◽

First Order Differential Equations

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Singularly perturbed delay differential equations of convection–diffusion type with integral boundary condition

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-018-1198-4 ◽

2018 ◽

Vol 59 (1-2) ◽

pp. 701-722 ◽

Author(s):

E. Sekar ◽

A. Tamilselvan

Keyword(s):

Boundary Condition ◽

Differential Equations ◽

Delay Differential Equations ◽

Singularly Perturbed ◽

Integral Boundary Condition ◽

Diffusion Type ◽

Integral Boundary ◽

Convection Diffusion ◽

Delay Differential

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Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition

Advances in Difference Equations ◽

10.1186/s13662-018-1650-7 ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Xinqiu Zhang ◽

Lishan Liu ◽

Yonghong Wu ◽

Yumei Zou

Keyword(s):

Boundary Condition ◽

Differential Equations ◽

Fractional Differential Equations ◽

Existence And Uniqueness ◽

Integral Boundary Condition ◽

Stieltjes Integral ◽

Uniqueness Of Solutions ◽

Integral Boundary ◽

Fractional Differential

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An efficient numerical scheme for a nonlinear integro-differential equations with an integral boundary condition

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.09.088 ◽

2014 ◽

Vol 248 ◽

pp. 8-17 ◽

Author(s):

R. Mollapourasl

Keyword(s):

Boundary Condition ◽

Differential Equations ◽

Numerical Scheme ◽

Integral Boundary Condition ◽

Integral Boundary

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On the structure of discrete spectrum of a non-selfadjoint system of differential equations with integral boundary condition

Journal of Mathematical Chemistry ◽

10.1007/s10910-017-0737-9 ◽

2017 ◽

Vol 55 (5) ◽

pp. 1202-1212 ◽

Author(s):

Şeyhmus Yardimci ◽

Esra Kir Arpat ◽

Çağla Can

Keyword(s):

Boundary Condition ◽

Differential Equations ◽

Discrete Spectrum ◽

Integral Boundary Condition ◽

System Of Differential Equations ◽

Integral Boundary

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The eigenvalue for a class of singular p-Laplacian fractional differential equations involving the Riemann–Stieltjes integral boundary condition

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.02.062 ◽

2014 ◽

Vol 235 ◽

pp. 412-422 ◽

Author(s):

Xinguang Zhang ◽

Lishan Liu ◽

Benchawan Wiwatanapataphee ◽

Yonghong Wu

Keyword(s):

Boundary Condition ◽

Differential Equations ◽

Fractional Differential Equations ◽

Integral Boundary Condition ◽

Stieltjes Integral ◽

Integral Boundary ◽

Fractional Differential

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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

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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

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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

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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 ◽

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

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