Solution of two-point fuzzy boundary value problems by fuzzy neural networks

Authors

  • Mazin Hashim Suhhiem Department of Statistics, University of Sumer, Alrifaee, Iraq
  • Basim Nasih Abood Department of Mathematics, University of Wasit, Alkut, Iraq
  • Mohammed Hadi Lafta Department of Statistics, University of Sumer, Alrifaee, Iraq

DOI:

https://doi.org/10.23755/rm.v36i1.455

Keywords:

Two-point fuzzy boundary value problem, fully fuzzy neural network, fuzzy trial solution, minimized error function, hyperbolic tangent activation function

Abstract

In this work, we have introduced a modified method for solving second-order fuzzy differential equations. This method based on the fully fuzzy neural network to find the numerical solution of the two-point fuzzy boundary value problems for the ordinary differential equations. The fuzzy trial solution of the two-point fuzzy boundary value problems is written based on the concepts of the fully fuzzy feed-forward neural networks which containing fuzzy adjustable parameters. In comparison with other numerical methods,  the proposed method provides numerical solutions with high accuracy.

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Published

2019-06-30

Issue

Vol. 36 (2019)

Section

Volume 36-2019

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