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Sponsored Artificial Intelligence: A Modern Approach, Global Edition Artificial Intelligence: A Modern Approach, Global Edition

Author

Muhammad Asif

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2 papers indexed here

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Open access Sep 2026

A COMPUTATIONAL ALGORITHM FOR THE NUMERICAL SOLUTION OF TWO-DIMENSIONAL TELEGRAPH INTERFACE PROBLEMS

This paper introduces the hyperbolic two-dimensional telegraph interface model with regular interfaces, employing a hybrid numerical technique that combines Haar wavelets and the finite difference method for both linear and nonlinear problems. Spatial derivatives are approximated using truncated Haar wavelet series, wh...

Khawaja Shamsul Haq, Muhammad Asif, Muhammad Faheem et al. · 0 citations
Open access Sep 2026

Numerical Simulation of Hyperbolic Problems with Interface Discontinuities via Multi-Resolution Collocation Method

Hyperbolic interface problems are widely applied to model wave propagation and shock transmission across discontinuous media, such as acoustic waves in layered materials, seismic waves in the Earth’s crust, and stress or electromagnetic waves in composite structures. This study introduces a novel computational framewor...

Nadeem Haider, Muhammad Asif, Naveed Ullah et al. · 0 citations

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