Saad, B. (1966) Error of Arbitrary Order Method for Solving n-th Order Differential Equations by Spline Functions. PhD Thesis, Tanta University, Egypt.

has been cited by the following article:

• TITLE: Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions

  AUTHORS: Mahmoud N. Sherif

  KEYWORDS: Fractional Differential Equation, Spline Functions, Taylor Expansion, Stability

  JOURNAL NAME: Applied Mathematics, Vol.7 No.6, March 24, 2016

  ABSTRACT: The aim of this paper is to approximate the solution of system of fractional delay differential equations. Our technique relies on the use of suitable spline functions of polynomial form. We introduce the description of the proposed approximation method. The error analysis and stability of the method are theoretically investigated. Numerical example is given to illustrate the applicability, accuracy and stability of the proposed method.