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A. K. Alomari
Yarmouk University
Computer Science & IT Electrical & Electronics Engineering

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Numerical algorithm for solving second order nonlinear fuzzy initial value problems A. F. Jameel; N. R. Anakira; A. H. Shather; Azizan Saaban; A. K. Alomari
International Journal of Electrical and Computer Engineering (IJECE) Vol 10, No 6: December 2020
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijece.v10i6.pp6497-6506

Abstract

The purpose of this analysis would be to provide a computational technique for the numerical solution of second-order nonlinear fuzzy initial value (FIVPs). The idea is based on the reformulation of the fifth order Runge Kutta with six stages (RK56) from crisp domain to the fuzzy domain by using the definitions and properties of fuzzy set theory to be suitable to solve second order nonlinear FIVP numerically. It is shown that the second order nonlinear FIVP can be solved by RK56 by reducing the original nonlinear equation intoa system of couple first order nonlinear FIVP. The findings indicate that the technique is very efficient and simple to implement and satisfy the Fuzzy solution properties. The method’s potential is demonstrated by solving nonlinear second-order FIVP.
Numerical approach of riemann-liouville fractional derivative operator Ramzi B. Albadarneh; Iqbal M. Batiha; Ahmad Adwai; Nedal Tahat; A. K. Alomari
International Journal of Electrical and Computer Engineering (IJECE) Vol 11, No 6: December 2021
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijece.v11i6.pp5367-5378

Abstract

This article introduces some new straightforward and yet powerful formulas in the form of series solutions together with their residual errors for approximating the Riemann-Liouville fractional derivative operator. These formulas are derived by utilizing some of forthright computations, and by utilizing the so-called weighted mean value theorem (WMVT). Undoubtedly, such formulas will be extremely useful in establishing new approaches for several solutions of both linear and nonlinear fractionalorder differential equations. This assertion is confirmed by addressing several linear and nonlinear problems that illustrate the effectiveness and the practicability of the gained findings.
Direct solution of uncertain bratu initial value problem N. R. Anakira; A. H. Shather; A. F. Jameel; A. K. Alomari; A. Saaban
International Journal of Electrical and Computer Engineering (IJECE) Vol 9, No 6: December 2019
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (622.56 KB) | DOI: 10.11591/ijece.v9i6.pp5075-5083

Abstract

In this paper, an approximate analytical solution for solving the fuzzy Bratu equation based on variation iteration method (VIM) is analyzed and modified without needed of any discretization by taking the benefits of fuzzy set theory. VIM is applied directly, without being reduced to a first order system, to obtain an approximate solution of the uncertain Bratu equation. An example in this regard have been solved to show the capacity and convenience of VIM.
Co-Authors A. F. Jameel A. F. Jameel A. H. Shather A. H. Shather A. Saaban Ahmad Adwai Azizan Saaban Iqbal M. Batiha N. R. Anakira Nedal Tahat Ramzi B. Albadarneh