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Research Article Open access CC BY 4.0

Boundary Value Technique for Initial Value Problems with Continuous Third Derivative Multistep Method of Enright

I. O. Longe, A. O. Adeniran

Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 17 Jul 2016

10.9734/BJMCS/2016/25243

Abstract

The Enright's third derivative method which is A-stable is derived using multistep collocation approach. The continuous method so obtained are use to generate the main method and the complementary methods to solve standard problems via boundary value techniques such that the numerical solution of a problem is obtained on the domain of integration simultaneously. Numerical result obtained via the implementation of the methods shows that the new method can compete with the existing ones (Enright [1], Ehigie, Jator, Sofolowe and Okunuga [2], Jator-Sahi [3] , Wu-Xia [4]) in the literature.

Continuous schemes multistep collocation sti system initial value problem.

References (5)

  1. 1 Solving differential problems by multistep initial and boundary value methods
  2. 2 Second Derivative Multistep Methods for Stiff Ordinary Differential Equations [DOI]
  3. 3 Boundary value technique for initial value problems with continuous second derivative multistep method of Enright [DOI]
  4. 4 An efficient hybrid numerical scheme for solvinggeneral second order initial value problems (IVPs) [DOI]
  5. 5 ONE STEP HYBRID NUMERICAL SCHEME FOR THE DIRECT SOLUTION OF GENERAL SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS [DOI]

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