One-leg methods for nonlinear stiff fractional differential equations with Caputo derivatives
DOI10.1016/j.amc.2018.12.019zbMath1429.65150OpenAlexW2905878971MaRDI QIDQ2008857
Cheng-Jian Zhang, Yongtao Zhou
Publication date: 26 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.12.019
stabilityconvergencenumerical experimentCaputo derivativesextended one-leg methodsnonlinear stiff fractional differential equations
Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Fractional ordinary differential equations (34A08)
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Cites Work
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- Convergence of one-leg methods for neutral delay integro-differential equations
- Convergence of linear multistep and one-leg methods for stiff nonlinear initial value problems
- Numerical stability of one-leg methods for neutral delay differential equations
- One-leg variable-coefficient formulas for ordinary differential equations and local-global step size control
- Stable solutions of one-leg methods for a class of nonlinear functional-integro-differential equations
- The extended one-leg methods for nonlinear neutral delay-integro-differential equations
- Convergence of one-leg methods for nonlinear neutral delay integro-differential equations
- Numerical methods for singular nonlinear integrodifferential equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Polynomial spline collocation methods for the nonlinear Basset equation
- Stability and error analysis of one-leg methods for nonlinear delay differential equations
- Precisely A(\({\alpha}\))-stable one-leg multistep methods
- The discrete dynamics of nonlinear infinite-delay-differential equations
- A class of stochastic one-parameter methods for nonlinear SFDEs with piecewise continuous arguments
- Convergence and stability of block boundary value methods applied to nonlinear fractional differential equations with Caputo derivatives
- On \(A\)-stable one-leg methods for solving nonlinear Volterra functional differential equations
- Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem
- Nonlinear stability of one-leg methods for neutral Volterra delay-integro-differential equations
- Implicit-explicit one-leg methods for nonlinear stiff neutral equations
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation
- Stability and convergence analysis of implicit–explicit one-leg methods for stiff delay differential equations
- G-stability is equivalent toA-stability
- On One-Leg Multistep Methods
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- One-Leg Formulas for Stiff Ordinary Differential Equations
- The Analysis of a Variable Step, Variable Coefficient Linear Multistep Method for Solving a Singular Integro–Differential Equation Arising from the Diffusion of Discrete Particles in a Turbulent Fluid
- One-leg Integration of Ordinary Differential Equations with Global Error Control
- Product Integration Methods for the Nonlinear Basset Equation
- An Introduction to Numerical Analysis
- Convergence of Linear Multistep Methods and One-Leg Methods for Index-2 Differential-Algebraic Equations with a Variable Delay
- A special stability problem for linear multistep methods
- High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. III.
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