Solving second-order telegraph equations with high-frequency extrinsic oscillations

DOI10.1016/J.APNUM.2023.09.007zbMath1527.35134OpenAlexW4387007998MaRDI QIDQ6086854

Jamal Zerouaoui, Unnamed Author, H. Ait el bhira, Unnamed Author

Publication date: 10 November 2023

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2023.09.007

zbMATH Keywords

asymptotic expansionhomotopy methodtelegraph equationhighly oscillatory problems

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Initial value problems for second-order hyperbolic equations (35L15) Second-order hyperbolic equations (35L10)

Cites Work

• Numerical solution of telegraph equation using interpolating scaling functions
• On systems of differential equations with extrinsic oscillation
• Asymptotic-numerical solvers for highly oscillatory second-order differential equations
• Asymptotic-numerical solvers for highly oscillatory ordinary differential equations and Hamiltonian systems
• A general approach to hyperbolic partial differential equations by homotopy perturbation method
• On second-order differential equations with highly oscillatory forcing terms
• Asymptotic-numerical solvers for linear neutral delay differential equations with high-frequency extrinsic oscillations
• Asymptotic-numerical solvers for diffusion equation with time-like highly oscillatory forcing terms

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