most citedAsymptotic expansion regularization for inverse source problems in two-dimensional singularly perturbed nonlinear parabolic PDEs

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math.NA2025

Internal layer solutions and coefficient recovery in time-periodic reaction-diffusion-advection equations

Dmitrii Chaikovskii, Ye Zhang, Aleksei Liubavin

This article investigates the non-stationary reaction-diffusion-advection equation, emphasizing solutions with internal layers and the associated inverse problems. We examine a non…

math.NA2022★ 1 cited

Asymptotic expansion regularization for inverse source problems in two-dimensional singularly perturbed nonlinear parabolic PDEs

Dmitrii Chaikovskii, Aleksei Liubavin, Ye Zhang

In this paper, we develop an asymptotic expansion-regularization (AER) method for inverse source problems in two-dimensional nonlinear and nonstationary singularly perturbed partia…