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

Authors

  • 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.

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Published

2019-06-30

Issue

Vol. 14 No. 2 (2019)

Section

ARTICLES