NUMERICAL SOLUTION OF THIRD ORDER THREE-POINT BOUNDARY VALUE PROBLEMS OF ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS USING VARIATIONAL-COMPOSITE HYBRID FIXED POINT ITERATIVE METHOD

  • K.A. Al-Mustapha Department of Mathematics, Federal University of Technology, Minna,
  • K.R. Adeboye Department of Mathematics, Federal University of Technology, Minna,
  • D. Hakimi Department of Mathematics, Federal University of Technology, Minna,
  • A. Ndanusa Department of Mathematics, Federal University of Technology, Minna,

Abstract

This paper explores variational–composite hybrid fixed point iterative scheme for the solution of third order three-point boundary value problems. The method shows a strong convergence which makes it an efficient and reliable technique for finding approximate analytical solutions for third order three-point boundary value problems of ordinary differential equations with variable coefficients. From the numerical experiments carried out, the accuracy of the method was confirmed through the order of convergence obtained.

Published
2019-06-30
Section
ARTICLES