A Galerkin-Type Method to Solve One-Dimensional Telegraph Equation Using Collocation Points in Initial and Boundary Conditions

DOI10.1142/S0219876218500317zbMath1404.65186OpenAlexW2758012868MaRDI QIDQ4563162

Şuayip Yüzbaşı, Murat Karaçayır

Publication date: 6 June 2018

Published in: International Journal of Computational Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219876218500317

zbMATH Keywords

Galerkin methodnumerical methodspartial differential equationsresidual error correctionone-dimensional telegraph equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (2)

High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: application to 3D telegraphic equation ⋮ A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation

Cites Work

• A novel computing multi-parametric homotopy approach for system of linear and nonlinear Fredholm integral equations
• Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method
• Numerical solution of hyperbolic telegraph equation by cubic B-spline collocation method
• Unconditionally stable difference schemes for a one-space-dimensional linear hyperbolic equation
• Numerical solution of second order one dimensional hyperbolic telegraph equation by cubic B-spline collocation method
• Exp-function method for traveling wave solutions of nonlinear evolution equations
• Exp-function method for generalized traveling solutions of master partial differential equation
• Rational Chebyshev tau method for solving Volterra's population model.
• Numerical solutions of hyperbolic telegraph equation by using the Bessel functions of first kind and residual correction
• Analytical solution of second-order hyperbolic telegraph equation by variational iteration and homotopy perturbation methods
• Differential quadrature solution of hyperbolic telegraph equation
• A numerical algorithm for the solution of telegraph equations
• An effective approach for numerical solutions of high-order Fredholm integro-differential equations
• A novel Laplace decomposition method for non-linear stretching sheet problem in the presence of MHD and slip condition
• Application of new optimal homotopy perturbation and Adomian decomposition methods to the MHD non-Newtonian fluid flow over a stretching sheet
• Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method
• A numerical method for solving the hyperbolic telegraph equation
• High order compact solution of the one-space-dimensional linear hyperbolic equation
• Legendre multiwavelet Galerkin method for solving the hyperbolic telegraph equation
• The use of Chebyshev cardinal functions for solution of the second‐order one‐dimensional telegraph equation
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