A new spectral Galerkin method for solving the two dimensional hyperbolic telegraph equation

DOI10.1016/j.camwa.2016.08.003zbMath1361.65078OpenAlexW2514787378MaRDI QIDQ521533

Esmail Hesameddini, Elham Asadolahifard

Publication date: 11 April 2017

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.08.003

zbMATH Keywords

stabilitynumerical examplefinite difference methodsemidiscretizationexponential convergencesinc-Galerkin methodSylvester matrix equationhyperbolic telegraph equationtime-discrete scheme

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) Iterative numerical methods for linear systems (65F10) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (12)

A Crank-Nicolson collocation spectral method for the two-dimensional telegraph equations ⋮ A reduced order extrapolating technique of solution coefficient vectors to collocation spectral method for telegraph equation ⋮ Finite difference scheme for a fractional telegraph equation with generalized fractional derivative terms ⋮ Sinc-Galerkin technique for the numerical solution of fractional Volterra-Fredholm integro-differential equations with weakly singular kernels ⋮ A hybrid meshless method for the solution of the second order hyperbolic telegraph equation in two space dimensions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Numerical solution of linear and nonlinear hyperbolic telegraph type equations with variable coefficients using shifted Jacobi collocation method ⋮ The fragile points method (FPM) to solve two-dimensional hyperbolic telegraph equation using point stiffness matrices ⋮ A reduced-order extrapolated finite difference iterative scheme for uniform transmission line equation ⋮ The Crank-Nicolson finite element method for the 2D uniform transmission line equation ⋮ An accurate meshless collocation technique for solving two-dimensional hyperbolic telegraph equations in arbitrary domains

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