Optimization of One-Step Block Method for Solving Second-Order Fuzzy Initial Value Problems

Author:

Al-Refai Safa1ORCID,Syam Muhammed I.1ORCID,Al-Refai Mohammed2ORCID

Affiliation:

1. Department of Mathematical Sciences College of Science, UAE University Al-Ain, Al Ain, UAE

2. Department of Mathematics Yarmouk University, Irbid, Jordan

Abstract

In this article, we present a one-step hybrid block method for approximating the solutions of second-order fuzzy initial value problems. We prove the stability and convergence results of the method and present several examples to illustrate the efficiency and accuracy of the proposed method. The numerical results are compared with the existing ones in the literature.

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Reference36 articles.

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5. A study on numerical solutions of second order initial value problems (IVP) for ordinary differential equations with fourth order and Butcher’s fifth order Runge-Kutta methods;M. J. Hossain;American Journal of Computational and Applied Mathematics,2017

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