Stability ofθ-schemes for partial differential equations with piecewise constant arguments of alternately retarded and advanced type
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Publication:5031754
DOI10.1080/00207160.2018.1562059zbMath1499.35081OpenAlexW2907469738MaRDI QIDQ5031754
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Publication date: 16 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2018.1562059
partial differential equationnumerical stabilitypiecewise constant argumentsanalytical stability\( \theta \)-schemes
Stability in context of PDEs (35B35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
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Cites Work
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- Numerical stability and oscillation of the Runge-Kutta methods for the differential equations with piecewise continuous arguments alternately of retarded and advanced type
- Stability and bifurcation analysis of a mathematical model for tumor-immune interaction with piecewise constant arguments of delay
- Convergence and stability of the split-step theta method for stochastic differential equations with piecewise continuous arguments
- Block boundary value methods applied to functional differential equations with piecewise continuous arguments
- Stability and oscillations of numerical solutions for differential equations with piecewise continuous arguments of alternately advanced and retarded type
- The improved linear multistep methods for differential equations with piecewise continuous arguments
- Almost automorphic solutions for differential equations with piecewise constant argument in a Banach space
- Theoretical analysis for blow-up behaviors of differential equations with piecewise constant arguments
- Stability of \(\theta \)-schemes in the numerical solution of a partial differential equation with piecewise continuous arguments
- Convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument
- Retarded differential equations with piecewise constant delays
- Advanced differential equations with piecewise constant argument deviations
- Global stability in a population model with piecewise constant arguments
- Stability of Runge-Kutta methods for linear impulsive delay differential equations with piecewise constant arguments
- Preservation of oscillations of the Runge-Kutta method for equation \(x'(t)+ax(t)+a_1x([t - 1)=0\)]
- Impulsive Hopfield-type neural network system with piecewise constant argument
- Pseudo almost periodic solutions for equation with piecewise constant argument
- Dissipativity of Runge-Kutta methods for neutral delay differential equations with piecewise constant delay
- Boundary value problems for partial differential equations with piecewise constant delay
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- A wave equation with discontinuous time delay
- Theory of functional differential equations. 2nd ed
- Oscillatory and periodic solutions to a diffusion equation of neutral type
- Boundary value problems for the diffusion equation with piecewise continuous time delay
- Stability of Runge--Kutta methods in the numerical solution of equation \(u'(t)=au(t)+a_{0}u([t)\).]
- On the oscillation of a third order nonlinear differential equation with piecewise constant arguments
- Numerical oscillation and non-oscillation for differential equation with piecewise continuous arguments of mixed type
- Stability analysis of recurrent neural networks with piecewise constant argument of generalized type
- A survey of partial differential equations with piecewise continuous arguments
- On the exponential growth of solutions to nonlinear hyperbolic equations
- Mittag-Leffler stability of fractional-order neural networks in the presence of generalized piecewise constant arguments
- Asymptotic behaviour of a population model with piecewise constant argument
- Existence, computability and stability for solutions of the diffusion equation with general piecewise constant argument
- Analytical and numerical stability of partial differential equations with piecewise constant arguments
- A multiscale time model with piecewise constant argument for a boundedly rational monopolist
- Stability analysis of parabolic partial differential equations with piecewise continuous arguments
- Stability analysis of Runge–Kutta methods for differential equations with piecewise continuous arguments of mixed type
- Complicated dynamics in a delay Klein–Gordon equation
- Flip and Neimark–Sacker bifurcation in a differential equation with piecewise constant arguments model
- Behavior of the solutions of a partial differential equation with a piecewise constant argument
- Stability and bifurcations analysis of a competition model with piecewise constant arguments
- Stable invariant manifolds for delay equations with piecewise constant argument