The stability and asymptotic properties of the -methods for the pantograph equation

DOI10.1093/IMANUM/DRQ021zbMath1230.65074OpenAlexW1992961684MaRDI QIDQ3096362

Jan Čermák

Publication date: 8 November 2011

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drq021

zbMATH Keywords

stabilitynumerical examplesasymptotic behaviourvariable step-sizepantograph equationuniform meshconstant step size\(\Theta\)-methodsquasigeometric mesh

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical methods for functional-differential equations (65L03)

Related Items (7)

Weighted limits for Poincaré difference equations ⋮ The asymptotic behaviour of theθ-methods with constant stepsize for the generalized pantograph equation ⋮ Extension of the differential transformation method to nonlinear differential and integro-differential equations with proportional delays ⋮ Explicit general solution of planar linear discrete systems with constant coefficients and weak delays ⋮ A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions ⋮ General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions ⋮ Delay-dependent stability criteria for neutral delay differential and difference equations

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