Asymptotic Analysis and Numerical Method for Singularly Perturbed Eigenvalue Problems

Wang Kong; Zhongyi Huang

doi:10.1137/17m1136249

Asymptotic Analysis and Numerical Method for Singularly Perturbed Eigenvalue Problems

SIAM Journal on Scientific Computing ◽

10.1137/17m1136249 ◽

2018 ◽

Vol 40 (5) ◽

pp. A3293-A3321 ◽

Cited By ~ 1

Author(s):

Wang Kong ◽

Zhongyi Huang

Keyword(s):

Asymptotic Analysis ◽

Numerical Method ◽

Eigenvalue Problems ◽

Singularly Perturbed

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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

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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

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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

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An efficient numerical method for a nonlinear system of singularly perturbed differential equations arising in a two-time scale system

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01559-0 ◽

2021 ◽

Author(s):

Manikandan Mariappan ◽

Ayyadurai Tamilselvan

Keyword(s):

Nonlinear System ◽

Differential Equations ◽

Numerical Method ◽

Time Scale ◽

Singularly Perturbed

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Parameter‐uniform numerical method for singularly perturbed 2‐D parabolic convection–diffusion problem with interior layers

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7975 ◽

2021 ◽

Author(s):

Anirban Majumdar ◽

Srinivasan Natesan

Keyword(s):

Numerical Method ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Interior Layers

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Asymptotic Analysis for the Singularly Perturbed Initial Value Problem with Degenerate Equation Having Triple Root

Qualitative Theory of Dynamical Systems ◽

10.1007/s12346-017-0234-3 ◽

2017 ◽

Vol 17 (1) ◽

pp. 91-101 ◽

Cited By ~ 1

Author(s):

Songlin Chen ◽

Ruirui Zhang

Keyword(s):

Asymptotic Analysis ◽

Initial Value Problem ◽

Singularly Perturbed ◽

Degenerate Equation ◽

Initial Value

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Asymptotic analysis of a singularly perturbed parabolic problem in a general smooth domain

Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis - Interdisciplinary Mathematical Sciences ◽

10.1142/9789814436465_0007 ◽

2013 ◽

pp. 121-141

Author(s):

Yu-Jiang Wu ◽

Na Zhang ◽

Lun-Ji Song

Keyword(s):

Asymptotic Analysis ◽

Parabolic Problem ◽

Singularly Perturbed ◽

Smooth Domain ◽

Singularly Perturbed Parabolic Problem

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A numerical method based on finite difference for boundary value problems for singularly perturbed delay differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.08.089 ◽

2008 ◽

Vol 197 (2) ◽

pp. 692-707 ◽

Cited By ~ 33

Author(s):

Mohan K. Kadalbajoo ◽

Kapil K. Sharma

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Boundary Value Problems ◽

Numerical Method ◽

Delay Differential Equations ◽

Boundary Value ◽

Singularly Perturbed ◽

Delay Differential

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Multi-scale asymptotic analysis and computation of the elliptic eigenvalue problems in curvilinear coordinates

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.05.035 ◽

2018 ◽

Vol 340 ◽

pp. 340-365 ◽

Cited By ~ 4

Author(s):

Qiang Ma ◽

Zhihui Li ◽

Junzhi Cui

Keyword(s):

Asymptotic Analysis ◽

Eigenvalue Problems ◽

Curvilinear Coordinates ◽

Multi Scale ◽

Elliptic Eigenvalue Problems

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A Numerical Method for Solving a Class of Inverse Eigenvalue Problems. Application to Optical Fibre Design

Mathematical and Numerical Aspects of Wave Propagation WAVES 2003 ◽

10.1007/978-3-642-55856-6_96 ◽

2003 ◽

pp. 593-598

Author(s):

Chokri Bekkey ◽

Rabia Djellouli ◽

Mouna Youssef

Keyword(s):

Numerical Method ◽

Optical Fibre ◽

Eigenvalue Problems ◽

Inverse Eigenvalue Problems ◽

Inverse Eigenvalue

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