Capturing Discontinuities with Precision: A Numerical Exploration of 3D Telegraph Interface Models via Multi-Resolution Technique

Capturing Discontinuities with Precision: A Numerical Exploration of 3D Telegraph Interface Models via Multi-Resolution Technique

This study presents a hyperbolic three-dimensional telegraph interface model with regular interfaces, numerically solved using a hybrid scheme that integrates Haar wavelets and the finite difference method. Spatial derivatives are approximated via a truncated Haar wavelet series, while temporal deri...

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Bibliographic Details
Main Authors: Khawaja Shams Ul Haq, Muhammad Asif, Muhammad Faheem, Ioan-Lucian Popa
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Mathematics
Subjects:
Haar wavelet
telegraph interface model
partial differential equations
hyperbolic equations
Online Access:https://www.mdpi.com/2227-7390/13/15/2391
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