New unconditionally stable scheme for telegraph equation based on weighted Laguerre polynomials

DOI10.1002/num.22155zbMath1375.65123OpenAlexW2599818813WikidataQ115398022 ScholiaQ115398022MaRDI QIDQ5365212

Xiao-Ping Miao, Dianzhou Zhang

Publication date: 6 October 2017

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22155

zbMATH Keywords

stabilityGalerkin methodfinite difference methodsemidiscretizationtelegraph equationnumerical resultweighted Laguerre polynomials

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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High order accurate method for the numerical solution of the second order linear hyperbolic telegraph equation ⋮ Explicit high-order compact difference method for solving nonlinear hyperbolic equations with three types of boundary conditions

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