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Harender Kumar

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Jul 2026

Multi-scale physics-informed neural networks with Fourier features for approximating time-fractional PDEs

Extensive numerical experiments demonstrate that PINNs-MSFF achieves superior accuracy, stability, and convergence, effectively capturing complex fractional dynamics, sharp localized gradients, and dispersive phase transitions where standard PINNs often fail.

Harender Kumar · 0 citations

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