Preservation of oscillations of the Runge-Kutta method for equation \(x'(t)+ax(t)+a_1x([t - 1])=0\)

From MaRDI portal
Publication:979928

DOI10.1016/j.camwa.2009.07.030zbMath1189.65143OpenAlexW2080119518MaRDI QIDQ979928

J. Martínez

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.07.030




Related Items (26)

Stability ofθ-schemes for partial differential equations with piecewise constant arguments of alternately retarded and advanced typePreservation of stability and oscillation of Euler-Maclaurin method for differential equation with piecewise constant arguments of alternately advanced and retarded typeNumerical oscillations for first-order nonlinear delay differential equations in a hematopoiesis modelOscillation analysis of numerical solutions for nonlinear delay differential equations of hematopoiesis with unimodal production rateEuler-Maclaurin method for linear differential equations with piecewise constant arguments with one delay: stability and oscillationsStability and oscillations of numerical solutions for differential equations with piecewise continuous arguments of alternately advanced and retarded typeStudy of solutions to some functional differential equations with piecewise constant argumentsNumerical oscillation and non-oscillation analysis of the mixed type impulsive differential equation with piecewise constant argumentsStability analysis of parabolic partial differential equations with piecewise continuous argumentsSecond-order linear differential equations with piecewise constant arguments subject to nonlocal boundary conditionsNumerical oscillations analysis for nonlinear delay differential equations in physiological control systemsOscillations of numerical solutions for nonlinear delay differential equations in the control of erythropoiesisUnnamed ItemOscillation of numerical solution in the Runge-Kutta methods for equation \(x'(t) = ax(t) + a_{0}x([t)\)] ⋮ Preservation of Takens-Bogdanov bifurcations for delay differential equations by Euler discretizationNumerical oscillation and non-oscillation for differential equation with piecewise continuous arguments of mixed typeRunge–Kutta Methods for Systems of Differential Equation with Piecewise Continuous Arguments: Convergence and StabilityOscillation analysis of numerical solutions for delay differential equations with real coefficientsBlock boundary value methods applied to functional differential equations with piecewise continuous argumentsThe numerical asymptotically stability of a linear differential equation with piecewise constant arguments of mixed typeOscillation analysis of advertising capital model: analytical and numerical studiesPreservation of Oscillations in the Runge-Kutta Method for a Type of Advanced Differential EquationOscillation analysis of numerical solutions in theθ-methods for differential equation of advanced typeOscillation analysis ofθ-methods for the Nicholson's blowflies modelOscillations analysis of numerical solutions for neutral delay differential equationsAnalytical and numerical stability of partial differential equations with piecewise constant arguments



Cites Work


This page was built for publication: Preservation of oscillations of the Runge-Kutta method for equation \(x'(t)+ax(t)+a_1x([t - 1])=0\)