On a finite-difference scheme for an hereditary oscillatory equation

DOI10.1007/S10958-021-05252-2zbMath1464.65073OpenAlexW3133232378MaRDI QIDQ1996815

R. I. Parovik

Publication date: 26 February 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05252-2

zbMATH Keywords

convergencestability analysisfinite difference schemeintegro-differential equationmemory function

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)

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Uses Software

• sysdfod
• DFOC

Cites Work

• A finite difference technique for solving variable-order fractional integro-differential equations
• Fractional-order nonlinear systems. Modeling, analysis and simulation
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• Mathematical Modelling of Hereditarity Airy Oscillator with Friction
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• Chaotic vibrations of the duffing system with fractional damping
• Explicit Finite-Difference Scheme for the Numerical Solution of the Model Equation of Nonlinear Hereditary Oscillator with Variable-Order Fractional Derivatives
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