A numerical C1-shadowing result for retarded functional differential equations
Copyright policy )A numerical C1-shadowing result for retarded functional differential equations
The author studies a theoretical approach of the exact solution of a retarded functional differential equation and its numerical approximation. For to obtain the results of \(C^1\)-estimation a fixed point theorem is used. The theoretical results are confirmed by concrete numerical examples.
- Instituto Superior de Espinho Portugal
- Széchenyi István University Hungary
numerical examples, discretization by projection, Applied Mathematics, \(C^1\)-shadowing, Shadowing, General theory of functional-differential equations, Numerical approximation of solutions of functional-differential equations, Numerical methods for initial value problems involving ordinary differential equations, retarded functional differential equations, Computational Mathematics, Functional differential equation, Theoretical approximation of solutions to functional-differential equations, Stable manifolds
numerical examples, discretization by projection, Applied Mathematics, \(C^1\)-shadowing, Shadowing, General theory of functional-differential equations, Numerical approximation of solutions of functional-differential equations, Numerical methods for initial value problems involving ordinary differential equations, retarded functional differential equations, Computational Mathematics, Functional differential equation, Theoretical approximation of solutions to functional-differential equations, Stable manifolds
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