On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem
type: Item
instance of: scholarly article
title: On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem
zbMATH Open document ID: 1476.65136
author: Bishnu Pada Ghosh
author: S. McKee
author: R. K. Mohanty
published in: Computational and Applied Mathematics
publication date: 2021-09-10T00:00:00Z
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 7394317
zbMATH Keywords: graded mesh
zbMATH Keywords: nonlinear IVPs
zbMATH Keywords: region of absolute stability
zbMATH Keywords: damped wave equation
zbMATH Keywords: boundary layer problems
zbMATH Keywords: singular problem
MaRDI profile type: Publication
full work available at URL: s40314-021-01416-7
OpenAlex ID: W3126812268
cites work: Unconditionally stable Noumerov-type methods for second order differential equations
cites work: Superstable two-step methods for the numerical integration of general second order initial value problems
cites work: Order conditions for a class of two-step methods for y'' = f (x, y)
cites work: On accuracy and unconditional stability of linear multistep methods for second order differential equations
cites work: Q3155853
cites work: Unconditionally stable methods for second order differential equations
cites work: Variable mesh methods for the numerical solution of two-point singular perturbation problems
cites work: Q4841246
cites work: Q5674335
cites work: Q4002473
cites work: Symmetric Multistip Methods for Periodic Initial Value Problems
cites work: An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation
cites work: An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients
cites work: A family of variable mesh methods for the estimates of (d\(u\)/d\(r\)) and solution of non-linear two point boundary value problems with singularity
cites work: A class of non-uniform mesh three point arithmetic average discretization for \(y^{\prime\prime} = f(x, y, y^{\prime}\) and the estimates of \(y^{\prime}\)
cites work: New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations
cites work: On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh
cites work: Additive parameters methods for the numerical integration of \(y''=f(t,y,y')\)
cites work: Obrechkoff methods having additional parameters for general second-order differential equations
cites work: A class of explicit two-step superstable methods for second-order linear initial value problems
cites work: Q4528992
cites work: Zero dissipative, explicit Numerov-type methods for second order IVPs with oscillating solutions
DOI: 10.1007/S40314-021-01416-7
description: scientific article; zbMATH DE number 7394317