Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem (Q6066831)

scientific article; zbMATH DE number 7777622

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English	Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem	scientific article; zbMATH DE number 7777622

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instance of

scholarly article

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title

Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem (English)

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author

A. G. Atta

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Waleed M. Abd-Elhameed

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Glalal M. Moatimid

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Youssri H. Youssri

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published in

Mathematical Sciences

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publication date

14 December 2023

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zbMATH Keywords

hyperbolic telegraph equation

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Chebyshev polynomials of the sixth-kind

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spectral methods

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Kronecker algebra

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hypergeometric functions

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convergence analysis

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s40096-022-00460-6

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cites work

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Sixth-kind Chebyshev spectral approach for solving fractional differential equations

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A numerical method for solving the hyperbolic telegraph equation

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Neoteric formulas of the monic orthogonal Chebyshev polynomials of the sixth-kind involving moments and linearization formulas

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New Tchebyshev‐Galerkin operational matrix method for solving linear and nonlinear hyperbolic telegraph type equations

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Fully Legendre Spectral Galerkin Algorithm for Solving Linear One-Dimensional Telegraph Type Equation

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Shifted-Chebyshev-polynomial-based numerical algorithm for fractional order polymer visco-elastic rotating beam

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A robust spectral treatment of a class of initial value problems using modified Chebyshev polynomials

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Matrix Algorithms

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The solution of a time-dependent problem by the \(B\)-spline method

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Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method

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Identifiers

Mathematics Subject Classification ID

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10.1007/S40096-022-00460-6

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Sitelinks

Mathematics(1 entry)

mardi Publication:6066831