D. V. Lukyanenko, R. L. Argun, A. A. Borzunov, A. V. Gorbachev, V. D. Shinkarev, M. A. Shishlenin, A. G. Yagola, “On the Features of Numerical Solution of Coefficient Inverse Problems for Nonlinear Equations of the Reaction–Diffusion–Advection Type with Data of Various Types”, Diff Equat, 59, № 12, 2023, 1734
S. A. Zakharova, M. A. Davydova, D. V. Lukyanenko, “Use of asymptotic analysis for solving the inverse problem of source parameters determination of nitrogen oxide emission in the atmosphere”, Inverse Problems in Science and Engineering, 29, № 3, 2021, 365
Pavel Evgenyevich Bulatov, “Numerical integration of one-dimensioned parabolic problems using adaptive grids”, KIAM Prepr., № 11, 2024, 1
V. T. Volkov, D. V. Lukyanenko, N. N. Nefedov, “Analytical-Numerical Approach to Describing Time-Periodic Motion of Fronts in Singularly Perturbed Reaction–Advection–Diffusion Models”, Comput. Math. and Math. Phys., 59, № 1, 2019, 46
Nikolay Nikolaevich Nefedov, V. T. Volkov, “Asymptotic solution of the inverse problem for restoring the modular type source in Burgers’ equation with modular advection”, Journal of Inverse and Ill-posed Problems, 28, № 5, 2020, 633
M. K. Ni, X. T. Qi, N. T. Levashova, “Internal Layer for a Singularly Perturbed Equation with Discontinuous Right-Hand Side”, Diff Equat, 56, № 10, 2020, 1276
D. V. Lukyanenko, V. T. Volkov, N. N. Nefedov, A. G. Yagola, “Application of Asymptotic Analysis for Solving the Inverse Problem of Determining the Coefficient of Linear Amplification in Burgers’ Equation”, Moscow Univ. Phys., 74, № 2, 2019, 131
Natalia Levashova, Alexandr Gorbachev, Raul Argun, Dmitry Lukyanenko, “The Problem of the Non-Uniqueness of the Solution to the Inverse Problem of Recovering the Symmetric States of a Bistable Medium with Data on the Position of an Autowave Front”, Symmetry, 13, № 5, 2021, 860
Qian Yang, Mingkang Ni, “ASYMPTOTICS OF THE SOLUTION TO A PIECEWISE-SMOOTH QUASILINEAR SECOND-ORDER DIFFERENTIAL EQUATION”, jaac, 12, № 1, 2022, 256
Dmitrii Chaikovskii, Ye Zhang, “Convergence analysis for forward and inverse problems in singularly perturbed time-dependent reaction-advection-diffusion equations”, Journal of Computational Physics, 470, 2022, 111609