A semi-discretization method based on quartic splines for solving one-space-dimensional hyperbolic equations

DOI10.1016/j.amc.2009.01.015zbMath1162.65384OpenAlexW2002918824MaRDI QIDQ1021553

Li-Bin Liu, Yanping Chen, Huan-Wen Liu

Publication date: 8 June 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.015

zbMATH Keywords

stabilityPadé approximationsecond-order linear hyperbolic equation\(C^{3}\) quartic spline functionaccuracy order

Mathematics Subject Classification ID

Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Parallel hybrid PSO with CUDA for lD heat conduction equation ⋮ A new three-level implicit cubic spline method for the solution of 1D quasi-linear hyperbolic equations ⋮ Numerical simulation of power transmission lines ⋮ High order locally one-dimensional methods for solving two-dimensional parabolic equations ⋮ An unconditionally stable fourth-order method for telegraph equation based on Hermite interpolation ⋮ An operator-difference method for telegraph equations arising in transmission lines ⋮ Quartic spline methods for solving one-dimensional telegraphic equations ⋮ Compact difference schemes for solving telegraphic equations with Neumann boundary conditions ⋮ Polynomial spline approach for solving second-order boundary-value problems with Neumann conditions ⋮ Numerical solution of second-order hyperbolic telegraph equation via new cubic trigonometric B-splines approach

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