Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction–diffusion equation with the location of moving front data-Reference-Cited by-同舟云学术

Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction–diffusion equation with the location of moving front data

Published:2019-03 Issue:5 Volume:77 Page:1245-1254
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Lukyanenko D.V.^ORCID,Grigorev V.B.,Volkov V.T.,Shishlenin M.A.^ORCID

Funder

RFBR, Russia

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference28 articles.

1. Solving of the coefficient inverse problems for a nonlinear singularly perturbed reaction-diffusion-advection equation with the final time data;Lukyanenko;Commun. Nonlinear Sci. Numer. Simul.,2018

2. Dynamically adapted mesh construction for the efficient numerical solution of a singular perturbed reaction-diffusion-advection equation;Lukyanenko;Model. Anal. Inform. Syst.,2017

3. D. Lukyanenko, N. Nefedov, E. Nikulin, V. Volkov, Use of asymptotics for new dynamic adapted mesh construction for periodic solutions with an interior layer of reaction-diffusion-advection equations, Lect. Notes Comput. Sci., 10187, 107–118.

4. A. Melnikova, N. Levashova, D. Lukyanenko, Front dynamics in an activator-inhibitor system of equations, Lect. Notes Comput. Sci., 10187, 492–499.

5. Definitions and examples of inverse and ill-posed problems;Kabanikhin;J. Inverse Ill-Posed Probl.,2008

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