singularly perturbed parabolic equation
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2020 ◽  
Vol 28 (5) ◽  
pp. 641-649
Author(s):  
Dmitry V. Lukyanenko ◽  
Igor V. Prigorniy ◽  
Maxim A. Shishlenin

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.



2017 ◽  
Vol 102 (2) ◽  
pp. 329-336
Author(s):  
Keldibay Alymkulov ◽  
Dilmurat Adbillajanovich Tursunov ◽  
Kudaiberdi Gaparalievich Kozhobekov


2015 ◽  
Vol 15 (2) ◽  
Author(s):  
Arnaldo Simal do Nascimento ◽  
Maicon Sônego

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



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