A Mesh-Free Algorithm to Solve an Inverse Source Problem for Degenerate Two-Dimensional Parabolic Equation from Final Observations

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A Mesh-Free Algorithm to Solve an Inverse Source Problem for Degenerate Two-Dimensional Parabolic Equation from Final Observations Khalid Atifi

The main purpose of this work is to propose a new network architecture model for deep learning applied to solve an inverse source problem for a two-dimensional degenerate parabolic equation from final observations with degeneracy occurring anywhere in the spatial domain.

DOI: 10.52737/18291163-2023.15.8-1-11 Armenian Journal of Mathematics, 15(8) 1-11

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Keywords

Deep Learning, Heat Equation, Inverse Problem, Degenerate Two-Dimensional Equation, Optimization

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