Spectral Galerkin treatment of linear one-dimensional telegraph type problem via the generalized Lucas polynomials

DOI10.1007/s40065-022-00374-0zbMath1501.65081OpenAlexW4229334226MaRDI QIDQ2091745

A. G. Atta, Youssri H. Youssri, Waleed M. Abd-Elhameed

Publication date: 2 November 2022

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-022-00374-0

zbMATH Keywords

integral equationspectral Galerkin methodtelegraph type problem

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Integro-partial differential equations (35R09) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (4)

Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation ⋮ Novel spectral schemes to fractional problems with nonsmooth solutions ⋮ Unnamed Item ⋮ Advanced shifted first-kind Chebyshev collocation approach for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel

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