A new high order space derivative discretization for 3D quasi-linear hyperbolic partial differential equations

DOI10.1016/j.amc.2014.01.064zbMath1410.65321OpenAlexW2003166750MaRDI QIDQ1646144

Ranjan Kumar Mohanty, Swarn Singh, Suruchi Singh

Publication date: 22 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.064

zbMATH Keywords

maximum absolute errorswave equation in polar coordinatestelegraphic equation3D quasi-linear hyperbolic equationsspace derivative terms

Mathematics Subject Classification ID

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 (7)

A new fast algorithm based on half-step discretization for one space dimensional quasilinear hyperbolic equations ⋮ 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 ⋮ Meshless local Petrov-Galerkin (MLPG) method for three-dimensional nonlinear wave equations via moving least squares approximation ⋮ High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: application to 3D telegraphic equation ⋮ Unconditionally stable modified methods for the solution of two‐ and three‐dimensional telegraphic equation with Robin boundary conditions ⋮ High resolution operator compact implicit half-step approximation for 3D quasi-linear hyperbolic equations and ADI method for 3D telegraphic equation on an irrational domain

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