Spectral framework using modified shifted Chebyshev polynomials of the third-kind for numerical solutions of one- and two-dimensional hyperbolic telegraph equations

Abstract This investigation discusses a numerical approach to solving the hyperbolic telegraph equation in both one and two dimensions. Applying the Galerkin method is the basis of this approach. We use appropriate combinations of third-kind modified shifted Chebyshev polynomials (3KMSCPs) as basis...

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Bibliographic Details
Main Authors: S. M. Sayed, A. S. Mohamed, E. M. Abo-Eldahab, Y. H. Youssri
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Boundary Value Problems
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Online Access:https://doi.org/10.1186/s13661-024-01987-4
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