On the One‐Leg Methods for Solving Nonlinear Neutral Differential Equations with Variable Delay
Copyright policy )On the One‐Leg Methods for Solving Nonlinear Neutral Differential Equations with Variable Delay
Based on A‐stable one‐leg methods and linear interpolations, we introduce four algorithms for solving neutral differential equations with variable delay. A natural question is which algorithm is better. To answer this question, we analyse the error behavior of the four algorithms and obtain their error bounds under a one‐sided Lipschitz condition and some classical Lipschitz conditions. After extensively numerically experimenting, we give a positive conclusion.
- Changsha University of Science and Technology China (People's Republic of)
- Xiangtan University China (People's Republic of)
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, one-sided Lipschitz condition, QA1-939, Numerical methods for functional-differential equations, variable delay, Mathematics, Periodic solutions to functional-differential equations, Neutral functional-differential equations, neutral differential equations
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, one-sided Lipschitz condition, QA1-939, Numerical methods for functional-differential equations, variable delay, Mathematics, Periodic solutions to functional-differential equations, Neutral functional-differential equations, neutral differential equations
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