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This study proposes a novel framework for learning the underlying physics ofphenomena with moving boundaries. The proposed approach combines Ensemble SINDyand Peridynamic Differential Operator (PDDO) and imposes an inductive biasassuming the moving boundary physics evolve in its own corotational coordinatesystem. The robustness of the approach is demonstrated by considering variouslevels of noise in the measured data using the 2D Fisher-Stefan model. Theconfidence intervals of recovered coefficients are listed, and theuncertainties of the moving boundary positions are depicted by obtaining thesolutions with the recovered coefficients. Although the main focus of thisstudy is the Fisher-Stefan model, the proposed approach is applicable to anytype of moving boundary problem with a smooth moving boundary front without amushy region. The code and data for this framework is available at:https://github.com/alicanbekar/MB_PDDO-SINDy.

Multiphysics discovery with moving boundaries using Ensemble SINDy and Peridynamic Differential Operator