Numerical investigation of the pantograph equation
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Publication:1360552
DOI10.1016/S0168-9274(97)00028-7zbMath0878.65065MaRDI QIDQ1360552
Publication date: 5 January 1998
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05)
Related Items (28)
Convergence and stability of numerical methods with variable step size for stochastic pantograph differential equations ⋮ \(\mathcal H\)-stability of linear \(\theta\)-method with general variable stepsize for system of pantograph equations with two delay terms ⋮ \(H_{\alpha}\)-stability of modified Runge-Kutta methods for nonlinear neutral pantograph equations ⋮ Stability of a class of Runge--Kutta methods for a family of pantograph equations of neutral type ⋮ Delay-asymptotic solutions for the time-fractional delay-type wave equation ⋮ Validated integration of differential equations with state-dependent delay ⋮ Stability of collocation methods for delay differential equations with vanishing delays ⋮ Delay equations on time scales: Essentials and asymptotics of the solutions ⋮ Numerical stability of higher-order derivative methods for the pantograph equation ⋮ \(\mathcal H\)-stability of Runge-Kutta methods with general variable stepsize for pantograph equation. ⋮ Stability of numerical solutions for the stochastic pantograph differential equations with variable step size ⋮ The existence and asymptotic estimations of solutions to stochastic pantograph equations with diffusion and Lévy jumps ⋮ An adjustable aperiodic model class of genomic interactions using continuous time Boolean networks (Boolean delay equations) ⋮ \(\varepsilon\)-approximate polynomial solutions for the multi-pantograph equation with variable coefficients ⋮ Asymptotic stability of linear non-autonomous difference equations with fixed delay ⋮ Asymptotical stability of numerical methods with constant stepsize for pantograph equations ⋮ Variational iteration method for solving a generalized pantograph equation ⋮ Runge-Kutta methods for the multi-pantograph delay equation ⋮ On the asymptotics of the trapezoidal rule for the pantograph equation ⋮ Convergence analysis of an Arnoldi order reduced Runge-Kutta method for integro-differential equations of pantograph type ⋮ The stability of modified Runge-Kutta methods for the pantograph equation ⋮ Recent advances in the numerical analysis of Volterra functional differential equations with variable delays ⋮ Current work and open problems in the numerical analysis of Volterra functional equations with vanishing delays ⋮ Series solution for a delay differential equation arising in electrodynamics ⋮ Stability analysis of block boundary value methods for neutral pantograph equation ⋮ A survey on piecewise-linear models of regulatory dynamical systems ⋮ Variational iteration method for Volterra functional integrodifferential equations with vanishing linear delays ⋮ Convergence and stability of split-step theta methods with variable step-size for stochastic pantograph differential equations
Cites Work
- A note on difference-delay equations
- The asymptotic stability of \(x_{n+1}-ax_ n+bx_{n-k}=0\)
- Stability analysis of \(\theta\)-methods for neutral functional- differential equations
- On the \(\theta\)-method for delay differential equations with infinite lag
- On the generalized pantograph functional-differential equation
- Asymptotic behaviour of functional-differential equations with proportional time delays
- The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$
- On a Functional Differential Equation
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