Existence, Uniqueness and Applications of the Spline Method for Functional-Differential Equation of Neutral Type

This paper presents a class of numerical method for the approximate solution for the functional-differential equation of neutral type. These methods are essentially based on the spline functions. The study of existence and uniqueness are considered of 3h-step spline function of degree m =4. Numerical examples and comparisons with other methods are given.

Keywords:

• Delay Ordinary Differential Equations
• Spline Functions Approximation
• Existence
• Uniqueness
• Neutral Type