Spline Approximations for Neutral Functional Differential Equations
Copyright policy )Spline Approximations for Neutral Functional Differential Equations
Based on an abstract approximation theorem for ${\text{C}}_0 $-semigroups (Trotter–Kato theorem) we present an algorithm where linear autonomous functional-differential equations of neutral type are approximated by sequences of ordinary differential equations of increasing dimensions. Numerical examples using cubic splines and cubic Hermite splines illustrate the theoretical results.
Hermite splines, numerical examples, cubic splines, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, linear autonomous functional-differential equations of neutral type, General theory of functional-differential equations, Numerical methods for initial value problems involving ordinary differential equations
Hermite splines, numerical examples, cubic splines, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, linear autonomous functional-differential equations of neutral type, General theory of functional-differential equations, Numerical methods for initial value problems involving ordinary differential equations
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