International Journal on Data Science and Technology

Volume 3, Issue 4, July 2017

  • Collocation Techniques for Block Methods for the Direct Solution of Higher Order Initial Value Problems of Ordinary Differential Equations

    Kamoh Nathaniel Mahwash, Awari Yohanna Sani, Chun Pamson Bentse

    Issue: Volume 3, Issue 4, July 2017
    Pages: 39-44
    Received: 1 June 2017
    Accepted: 21 August 2017
    Published: 26 September 2017
    Abstract: This paper presents the derivation techniques of block method for solving higher order initial value problems of ordinary differential equations directly. The method was developed via interpolation and collocation of the shifted Legendre polynomials as basis function. The method is capable of providing the numerical solution at several points simul... Show More