Preprint
Jul 2026
Mass-Conserving Physics-Informed Neural Networks For The One-Dimensional Advection-Diffusion Equation
It is demonstrated that incorporating a soft mass-conservation constraint substantially improves the long-term reliability of PINN for conservative transport problems, particularly in mitigating mass drift over extended simulation horizons.
Eszra Forenita Sigalingging, Liu-Kin Men, S. Setianto et al.
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