Modal Hermite spectral collocation method for solving multi-dimensional hyperbolic telegraph equations

DOI10.1016/j.camwa.2018.02.018zbMath1419.65086OpenAlexW2800773095WikidataQ129869387 ScholiaQ129869387MaRDI QIDQ2001309

Emran Tohidi, Bashar Zogheib

Publication date: 3 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.02.018

zbMATH Keywords

Hermite polynomialsLU factorizationtelegraph equationspectral collocation methodoperational matrices

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (6)

Legendre spectral collocation method for distributed and Riesz fractional convection-diffusion and Schrödinger-type equation ⋮ Least square homotopy solution to hyperbolic telegraph equations: multi-dimension analysis ⋮ Chebyshev pseudo-spectral method for optimal control problem of Burgers’ equation ⋮ An adaptive approach for solving fourth-order partial differential equations: algorithm and applications to engineering models ⋮ Spectral solutions for a class of nonlinear wave equations with Riesz fractional based on Legendre collocation technique ⋮ A novel study based on Lerch polynomials for approximate solutions of pure Neumann problem

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