A Chebyshev Collocation Method for Stiff Initial Value Problems and Its Stability

DOI10.5666/KMJ.2011.51.4.435zbMath1298.65115OpenAlexW2053789151MaRDI QIDQ5390029

JongKyum Kwon, Xiangfan Piao, Sang Dong Kim, Phil Su Kim

Publication date: 24 April 2012

Published in: Kyungpook mathematical journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5666/kmj.2011.51.4.435

zbMATH Keywords

convergenceA-stabilityChebyshev collocation methodstiff ordinary differential equationBDF-type method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for stiff equations (65L04)

Related Items (3)

Fast and precise spectral method for solving pantograph type Volterra integro-differential equations ⋮ An embedded formula of the Chebyshev collocation method for stiff problems ⋮ An error embedded method based on generalized Chebyshev polynomials

Uses Software

• RODAS
• ODEPACK
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A Chebyshev Collocation Method for Stiff Initial Value Problems and Its Stability