A New Fast Numerical Method Based on Off-Step Discretization for Two-Dimensional Quasilinear Hyperbolic Partial Differential Equations
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Publication:4564958
DOI10.1142/S0219876217500311zbMath1404.65098MaRDI QIDQ4564958
Gunjan Khurana, Ranjan Kumar Mohanty
Publication date: 7 June 2018
Published in: International Journal of Computational Methods (Search for Journal in Brave)
damped wave equationoperator splitting methodoff-step discretizationintermediate boundary conditionstwo-dimensional quasilinear hyperbolic equationunconditionally absolutely stable
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)
Related Items (4)
A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations ⋮ A New Fast Algorithm Based on Half-Step Discretization for 3D Quasilinear Hyperbolic Partial Differential Equations ⋮ A new spline-in-tension method of \(\mathrm{O}(k^{2}+h^{4})\) based on off-step grid points for the solution of 1D quasi-linear hyperbolic partial differential equations in vector form ⋮ A high-resolution bi-parametric unconditionally stable ADI method for 2D uniform transmission line equation
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