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20212026
most citedConvergence analysis for forward and inverse problems in singularly perturbed time-dependent reaction-advection-diffusion equations

16 citations · 17 across the 6 of their papers we have counts for

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math.NA2025

Deep asymptotic expansion method for solving singularly perturbed time-dependent reaction-advection-diffusion equations

Qiao Zhu, Dmitrii Chaikovskii, Bangti Jin +1

Physics-informed neural network (PINN) has shown great potential in solving partial differential equations. However, it faces challenges when dealing with problems involving steep…

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…