A new fast algorithm based on half-step discretization for one space dimensional quasilinear hyperbolic equations

DOI10.1016/j.amc.2014.07.020zbMath1336.65140OpenAlexW2053583013MaRDI QIDQ278419

Ravindra Kumar, Ranjan Kumar Mohanty

Publication date: 2 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.07.020

zbMATH Keywords

stabilitydamped wave equationquasilinear hyperbolic equationhalf-step discretizationsingular coefficientsvan der Pol type nonlinear wave equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (9)

A new variable mesh method based on non-polynomial spline in compression approximations for 1D quasilinear hyperbolic equations ⋮ A class of quasi-variable mesh methods based on off-step discretization for the numerical solution of fourth-order quasi-linear parabolic partial differential 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 ⋮ A New Fast Numerical Method Based on Off-Step Discretization for Two-Dimensional Quasilinear Hyperbolic Partial Differential Equations ⋮ A new numerical method based on non-polynomial spline in tension approximations for 1D quasilinear hyperbolic equations on a variable mesh ⋮ 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 ⋮ Explicit high-order compact difference method for solving nonlinear hyperbolic equations with three types of boundary conditions ⋮ Exponential stability of a class of nonlinear difference equations in Banach spaces

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