On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem

DOI10.1007/S40314-021-01416-7zbMath1476.65136OpenAlexW3126812268MaRDI QIDQ1983848

Bishnu Pada Ghosh, Sean McKee, Ranjan Kumar Mohanty

Publication date: 10 September 2021

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

Full work available at URL: https://doi.org/10.1007/s40314-021-01416-7

zbMATH Keywords

singular problemdamped wave equationgraded meshboundary layer problemsregion of absolute stabilitynonlinear IVPs

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (5)

High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: application to 3D telegraphic equation ⋮ A high-resolution bi-parametric unconditionally stable ADI method for 2D uniform transmission line equation ⋮ Third (fourth) order accurate two-step super-stable cubic spline polynomial approximation for the second order non-linear initial-value problems ⋮ Super-stable spline-in-tension numerical method of order three(four) for the second order nonlinear IVPs ⋮ 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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