A new off-step high order approximation for the solution of three-space dimensional nonlinear wave equations
type: Item
instance of: scholarly article
title: A new off-step high order approximation for the solution of three-space dimensional nonlinear wave equations
zbMATH Open document ID: 1352.65254
author: Venu Gopal
author: R. K. Mohanty
published in: Applied Mathematical Modelling
publication date: 2016-12-06T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35L72
zbMATH DE Number: 6661424
zbMATH Keywords: three space dimensional nonlinear wave equation
zbMATH Keywords: variable coefficients
zbMATH Keywords: wave equation in polar coordinates
zbMATH Keywords: off-step discretization
zbMATH Keywords: van der Pol equation
zbMATH Keywords: telegraphic equation
MaRDI profile type: Publication
full work available at URL: j.apm.2012.06.021
OpenAlex ID: W1997677683
cites work: Higher Order Compact Implicit Schemes for the Wave Equation
cites work: A Note on the Operator Compact Implicit Method for the Wave Equation
cites work: High accuracy difference schemes for a class of singular three space dimensional hyperbolic equations
cites work: Fourth-order approximation for the three space dimensional certain mildly quasi-linear hyperbolic equation
cites work: Fast high order ADER schemes for linear hyperbolic equations
cites work: ADER schemes for scalar non-linear hyperbolic conservation laws with source terms in three-space dimensions
cites work: ADER schemes for three-dimensional non-linear hyperbolic systems
cites work: A stable finite difference scheme for solving a hyperbolic two‐step model in a 3D micro sphere exposed to ultrashort‐pulsed lasers
cites work: An Unconditionally Stable ADI Method for the Linear Hyperbolic Equation in Three Space Dimensions
cites work: An operator splitting technique for an unconditionally stable difference method for a linear three space dimensional hyperbolic equation with variable coefficients
cites work: High order implicit collocation method for the solution of two‐dimensional linear hyperbolic equation
cites work: A meshless method for numerical solution of a linear hyperbolic equation with variable coefficients in two space dimensions
cites work: New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations
cites work: A new unconditionally stable ADI compact scheme for the two-space-dimensional linear hyperbolic equation
cites work: Unconditionally stable ADI scheme of higher-order for linear hyperbolic equations
cites work: Q4677323
cites work: A new highly accurate discretization for three-dimensional singularly perturbed nonlinear elliptic partial differential equations
cites work: Q5439731
cites work: A New Fourth-Order Compact Off-Step Discretization for the System of 2D Nonlinear Elliptic Partial Differential Equations
cites work: Alternating Direction Methods for Hyperbolic Differential Equations
cites work: A Classification of Split Difference Methods for Hyperbolic Equations in Several Space Dimensions
cites work: Q4841246
cites work: Q3155853
cites work: Stability interval for explicit difference schemes for multi-dimensional second-order hyperbolic equations with significant first-order space derivative terms
cites work: Superstable two-step methods for the numerical integration of general second order initial value problems
DOI: 10.1016/J.APM.2012.06.021
description: scientific article; zbMATH DE number 6661424