Quartic spline methods for solving one-dimensional telegraphic equations

DOI10.1016/j.amc.2010.01.110zbMath1189.65228OpenAlexW2018861688MaRDI QIDQ969165

Huan-Wen Liu, Li-Bin Liu

Publication date: 11 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.01.110

zbMATH Keywords

numerical resultsunconditional stabilitytelegraphic equationquartic splinegeneralized trapezoidal formula

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) 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)

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Parallel hybrid PSO with CUDA for lD heat conduction equation ⋮ An enhanced quartic B-spline method for a class of non-linear fifth-order boundary value problems ⋮ The solution of a time-dependent problem by the \(B\)-spline method ⋮ A new three-level implicit cubic spline method for the solution of 1D quasi-linear hyperbolic equations ⋮ Analysis of a fourth-order compact ADI method for a linear hyperbolic equation with three spatial variables ⋮ An unconditionally stable fourth-order method for telegraph equation based on Hermite interpolation ⋮ An operator-difference method for telegraph equations arising in transmission lines ⋮ A new unconditionally stable method for telegraph equation based on associated Hermite orthogonal functions ⋮ Compact difference schemes for solving telegraphic equations with Neumann boundary conditions

Cites Work

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• A quartic \(C^ 3\)-spline collocation method for solving second-order initial value problems
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• An explicit difference method for the wave equation with extended stability range
• A Note on the Operator Compact Implicit Method for the Wave Equation
• Generalized trapezoidal formulas for parabolic equations
• An Unconditionally Stable ADI Method for the Linear Hyperbolic Equation in Three Space Dimensions
• New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations

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