A Numerical Approach based on an Optimization of one Step Block Method for Solving First Order Fuzzy Initial Value Problems

Authors

  • Mohammed Al-Refai Yarmouk Univerity https://orcid.org/0000-0001-9399-6756
  • Safa Al-Refai
  • Muhammed I. Syam United Arab Emirates University
  • Sondos Syam United Arab Emirates University
  • Mohammed Abuomar United Arab Emirates University

DOI:

https://doi.org/10.29020/nybg.ejpam.v19i2.7286

Keywords:

Hybrid block method, Hukuhara derivative, fuzzy initial value problems

Abstract

Fuzzy differential equations have attracted the attention of many researchers. Based on a hybrid block method, we present a numerical approach for solving first-order fuzzy initial value problems. We investigate the proposed method theoretically and establish convergence and stability results. Two numerical examples are presented to illustrate the efficiency of the proposed method and to compare the results with those obtained by other methods in the literature.

References

Published

2026-07-28

Issue

Section

Mathematical and Fuzzy Logic

How to Cite

A Numerical Approach based on an Optimization of one Step Block Method for Solving First Order Fuzzy Initial Value Problems. (2026). European Journal of Pure and Applied Mathematics, 19(2), 7286. https://doi.org/10.29020/nybg.ejpam.v19i2.7286