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Author

Khaleel Ahmad

2 papers indexed here

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Open access Sep 2026

Physics-Informed Deep Orthogonal Decomposition with Calibrated Uncertainty Quantification for Reduced-Order Modelling of Parametrized Partial Differential Equations

Solving parametrized partial differential equations thousands of times is the bottleneck of design, control, inversion, and digital-twin workflows. Reduced-order models answer it by replacing the expensive discretization with a fast surrogate. Adaptive-basis surrogates, such as the deep orthogonal decomposition, break...

Umar Daraz, Sehrish Maryam, Khaleel Ahmad · 0 citations
Open access Sep 2026

A Hilfer Fractional Vaccination Epidemic Model: Stability Analysis and a Physics-Informed Neural Network Validated on COVID-19 Data

A Hilfer generalized fractional epidemic model with vaccination and asymptomatic transmission is proposed and analysed. The Hilfer operator interpolates between the Riemann-Liouville and Caputo derivatives through a type parameter. Therefore, the model captures hereditary memory and nonlocal temporal effects through bo...

Nida Najeeb, Khaleel Ahmad, Sahib Yar · 0 citations

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