Special properties of the stationary solution for two-dimensional singularly perturbed parabolic problem, stability, and attraction domain

Vera Beloshapko

doi:10.1002/mma.5235

Special properties of the stationary solution for two-dimensional singularly perturbed parabolic problem, stability, and attraction domain

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5235 ◽

2018 ◽

Vol 41 (18) ◽

pp. 9264-9275 ◽

Cited By ~ 2

Author(s):

Vera Beloshapko

Keyword(s):

Stationary Solution ◽

Parabolic Problem ◽

Singularly Perturbed ◽

Attraction Domain ◽

Two Dimensional ◽

Singularly Perturbed Parabolic Problem ◽

Problem Stability

Download Full-text

Regularization of a two-dimensional singularly perturbed parabolic problem

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542506080070 ◽

2006 ◽

Vol 46 (8) ◽

pp. 1349-1358 ◽

Cited By ~ 4

Author(s):

A. S. Omuraliev

Keyword(s):

Parabolic Problem ◽

Singularly Perturbed ◽

Two Dimensional ◽

Singularly Perturbed Parabolic Problem

Download Full-text

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

Download Full-text

FINITE DIFFERENCE DOMAIN DECOMPOSITION FOR A SINGULARLY PERTURBED PARABOLIC PROBLEM

Recent Advances in Numerical Methods and Applications II ◽

10.1142/9789814291071_0050 ◽

1999 ◽

Author(s):

IGOR BOGLAEV

Keyword(s):

Finite Difference ◽

Domain Decomposition ◽

Parabolic Problem ◽

Singularly Perturbed ◽

Singularly Perturbed Parabolic Problem

Download Full-text

A singularly perturbed parabolic problem with a layer in the initial condition

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.06.028 ◽

2012 ◽

Vol 219 (2) ◽

pp. 498-510 ◽

Cited By ~ 3

Author(s):

J.L. Gracia ◽

E. O’Riordan

Keyword(s):

Parabolic Problem ◽

Singularly Perturbed ◽

Initial Condition ◽

Singularly Perturbed Parabolic Problem

Download Full-text

Singularly perturbed two-dimensional parabolic problem in the case of intersecting roots of the reduced equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542507040070 ◽

2007 ◽

Vol 47 (4) ◽

pp. 620-628 ◽

Cited By ~ 1

Author(s):

V. F. Butuzov

Keyword(s):

Parabolic Problem ◽

Singularly Perturbed ◽

Two Dimensional

Download Full-text

Monotone iterative algorithms for a nonlinear singularly perturbed parabolic problem

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2004.02.010 ◽

2004 ◽

Vol 172 (2) ◽

pp. 313-335 ◽

Cited By ~ 10

Author(s):

Igor Boglaev

Keyword(s):

Parabolic Problem ◽

Iterative Algorithms ◽

Singularly Perturbed ◽

Monotone Iterative ◽

Singularly Perturbed Parabolic Problem

Download Full-text

An implicit-explicit domain decomposition algorithm for a singularly perturbed parabolic problem

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(99)00213-8 ◽

1999 ◽

Vol 38 (5-6) ◽

pp. 41-53 ◽

Cited By ~ 1

Author(s):

I. Boglaev

Keyword(s):

Domain Decomposition ◽

Parabolic Problem ◽

Decomposition Algorithm ◽

Singularly Perturbed ◽

Singularly Perturbed Parabolic Problem ◽

Domain Decomposition Algorithm

Download Full-text

On the stability and the attraction domain of the stationary solution of a singularly perturbed parabolic equation with a multiple root of the degenerate equation

Differential Equations ◽

10.1134/s0012266115120046 ◽

2015 ◽

Vol 51 (12) ◽

pp. 1569-1582 ◽

Cited By ~ 10

Author(s):

V. F. Butuzov

Keyword(s):

Parabolic Equation ◽

Stationary Solution ◽

Multiple Root ◽

Singularly Perturbed ◽

Attraction Domain ◽

Degenerate Equation ◽

Singularly Perturbed Parabolic Equation ◽

The Stability

Download Full-text

Second-order parameter-uniform finite difference scheme for singularly perturbed parabolic problem with a boundary turning point

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2021.1887157 ◽

2021 ◽

Vol 27 (2) ◽

pp. 223-240

Author(s):

Sanjay Ku Sahoo ◽

Vikas Gupta

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Order Parameter ◽

Parabolic Problem ◽

Turning Point ◽

Second Order ◽

Singularly Perturbed ◽

Singularly Perturbed Parabolic Problem ◽

Second Order Parameter

Download Full-text

Parameter-uniform finite difference method for singularly perturbed parabolic problem with two small parameters

International Journal for Computational Methods in Engineering Science and Mechanics ◽

10.1080/15502287.2021.1948148 ◽

2021 ◽

pp. 1-9

Author(s):

Tesfaye Aga Bullo ◽

Guy Aymard Degla ◽

Gemechis File Duressa

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Parabolic Problem ◽

Singularly Perturbed ◽

Small Parameters ◽

Singularly Perturbed Parabolic Problem

Download Full-text