singularly perturbed parabolic equation Latest Research Papers

Some features of solving an inverse backward problem for a generalized Burgers’ equation

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jiip-2020-0078 ◽

2020 ◽

Vol 28 (5) ◽

pp. 641-649

Author(s):

Dmitry V. Lukyanenko ◽

Igor V. Prigorniy ◽

Maxim A. Shishlenin

Keyword(s):

Inverse Problem ◽

Direct Problem ◽

Numerical Experiments ◽

Burgers Equation ◽

Simple Algorithm ◽

Singularly Perturbed ◽

Generalized Burgers Equation ◽

Backward Problem ◽

Singularly Perturbed Parabolic Equation ◽

The Cost

AbstractIn this paper, we consider an inverse backward problem for a nonlinear singularly perturbed parabolic equation of the Burgers’ type. We demonstrate how a method of asymptotic analysis of the direct problem allows developing a rather simple algorithm for solving the inverse problem in comparison with minimization of the cost functional. Numerical experiments demonstrate the effectiveness of this approach.

Critical travelling wave solution in one singularly perturbed parabolic equation

Journal of Physics Conference Series ◽

10.1088/1742-6596/1368/4/042060 ◽

2019 ◽

Vol 1368 ◽

pp. 042060

Author(s):

E Shchepakina ◽

V Sobolev ◽

L Zhang

Keyword(s):

Parabolic Equation ◽

Wave Solution ◽

Travelling Wave ◽

Singularly Perturbed ◽

Travelling Wave Solution ◽

Singularly Perturbed Parabolic Equation

THE SINGULARLY PERTURBED PARABOLIC EQUATION IN THE CASE WHEN THE UNPERTURBED EQUATION HAS AN UNBOUNDED SOLUTION

Far East Journal of Mathematical Sciences (FJMS) ◽

10.17654/ms102020329 ◽

2017 ◽

Vol 102 (2) ◽

pp. 329-336

Author(s):

Keldibay Alymkulov ◽

Dilmurat Adbillajanovich Tursunov ◽

Kudaiberdi Gaparalievich Kozhobekov

Keyword(s):

Parabolic Equation ◽

Singularly Perturbed ◽

Unbounded Solution ◽

Singularly Perturbed Parabolic Equation ◽

Unperturbed Equation

A Note on the Domain of Attraction for the Stationary Solution to a Singularly Perturbed Parabolic Equation

Modeling and Analysis of Information Systems ◽

10.18255/1818-1015-2017-3-353-358 ◽

2017 ◽

Vol 24 (3) ◽

pp. 353-358

Author(s):

Mikhail A. Terentyev

Keyword(s):

Parabolic Equation ◽

Stationary Solution ◽

Domain Of Attraction ◽

Singularly Perturbed ◽

Singularly Perturbed Parabolic Equation

Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542516040060 ◽

2016 ◽

Vol 56 (4) ◽

pp. 593-611 ◽

Cited By ~ 15

Author(s):

V. F. Butuzov ◽

A. I. Bychkov

Keyword(s):

Parabolic Equation ◽

Boundary Value Problem ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Singularly Perturbed ◽

Degenerate Equation ◽

Singularly Perturbed Parabolic Equation ◽

Initial Boundary Value

Numerical Study of an Initial-Boundary Value Neumann Problem for a Singularly Perturbed Parabolic Equation

Modeling and Analysis of Information Systems ◽

10.18255/1818-1015-2016-5-568-576 ◽

2016 ◽

Vol 23 (5) ◽

pp. 568-576

Author(s):

L. P. Shishkina

Keyword(s):

Parabolic Equation ◽

Neumann Problem ◽

Numerical Study ◽

Boundary Value ◽

Initial Boundary ◽

Singularly Perturbed ◽

Singularly Perturbed Parabolic Equation ◽

Initial Boundary Value

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

Stable Transition Layers to Singularly Perturbed Spatially Inhomogeneous Allen-Cahn Equation

Advanced Nonlinear Studies ◽

10.1515/ans-2015-0205 ◽

2015 ◽

Vol 15 (2) ◽

Author(s):

Arnaldo Simal do Nascimento ◽

Maicon Sônego

Keyword(s):

Parabolic Equation ◽

Geometric Structure ◽

Stationary Solutions ◽

Singularly Perturbed ◽

Transition Layers ◽

Cahn Equation ◽

Spatially Inhomogeneous ◽

Singularly Perturbed Parabolic Equation ◽

Γ Convergence

AbstractWe use the variational concept of Γ-convergence to prove existence, stability and exhibit the geometric structure of four families of stationary solutions to the singularly perturbed parabolic equation u

Asymptotics of the solution of an initial-boundary value problem for a singularly perturbed parabolic equation in the case of double root of the degenerate equation

Differential Equations ◽

10.1134/s0012266113100078 ◽

2013 ◽

Vol 49 (10) ◽

pp. 1261-1273 ◽

Cited By ~ 7

Author(s):

V. F. Butuzov ◽

A. I. Bychkov

Keyword(s):

Parabolic Equation ◽

Boundary Value Problem ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Singularly Perturbed ◽

Degenerate Equation ◽

Double Root ◽

Singularly Perturbed Parabolic Equation ◽

Initial Boundary Value

Solutions to a singularly perturbed parabolic equation with internal and boundary layers depending on stretched variables of different orders

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542507030062 ◽

2007 ◽

Vol 47 (3) ◽

pp. 407-419

Author(s):

E. E. Bukzhalev ◽

A. B. Vasil’eva

Keyword(s):

Parabolic Equation ◽

Boundary Layers ◽

Singularly Perturbed ◽

Singularly Perturbed Parabolic Equation

singularly perturbed parabolic equation
Recently Published Documents

TOTAL DOCUMENTS

H-INDEX

Some features of solving an inverse backward problem for a generalized Burgers’ equation

Critical travelling wave solution in one singularly perturbed parabolic equation

THE SINGULARLY PERTURBED PARABOLIC EQUATION IN THE CASE WHEN THE UNPERTURBED EQUATION HAS AN UNBOUNDED SOLUTION

A Note on the Domain of Attraction for the Stationary Solution to a Singularly Perturbed Parabolic Equation

Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation

Numerical Study of an Initial-Boundary Value Neumann Problem for a Singularly Perturbed Parabolic Equation

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

Stable Transition Layers to Singularly Perturbed Spatially Inhomogeneous Allen-Cahn Equation

Asymptotics of the solution of an initial-boundary value problem for a singularly perturbed parabolic equation in the case of double root of the degenerate equation

Solutions to a singularly perturbed parabolic equation with internal and boundary layers depending on stretched variables of different orders

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singularly perturbed parabolic equationRecently Published Documents

TOTAL DOCUMENTS

H-INDEX

Some features of solving an inverse backward problem for a generalized Burgers’ equation

Critical travelling wave solution in one singularly perturbed parabolic equation

THE SINGULARLY PERTURBED PARABOLIC EQUATION IN THE CASE WHEN THE UNPERTURBED EQUATION HAS AN UNBOUNDED SOLUTION

A Note on the Domain of Attraction for the Stationary Solution to a Singularly Perturbed Parabolic Equation

Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation

Numerical Study of an Initial-Boundary Value Neumann Problem for a Singularly Perturbed Parabolic Equation

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

Stable Transition Layers to Singularly Perturbed Spatially Inhomogeneous Allen-Cahn Equation

Asymptotics of the solution of an initial-boundary value problem for a singularly perturbed parabolic equation in the case of double root of the degenerate equation

Solutions to a singularly perturbed parabolic equation with internal and boundary layers depending on stretched variables of different orders

singularly perturbed parabolic equation
Recently Published Documents