TARU PUBLICATIONS
Author

Adel Rashed A. Ali

Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad, 10070, Iraq

Published papers
6
Citations
0
Views
1,043
Downloads
502

Publications

6 papers
Open Access Research Article·pp. 1515–1518·Vol. 29, Issue 5-BMay 2026

Convergence of fractional differential equations using efficient technique

Adel Rashed A. Ali

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2541

In this paper: Differential equations play a role in Applied Physics; it’s not always feasible to find analytical solutions for nonlinear partial differential equations when dealing with certain phenomena. In this i...

AbstractReferencesFull Text PDF (278 KB)Views: 65Downloads: 53Citations: 0
Open Access Research Article·pp. 1137–1143·Vol. 28, Issue 3-BApr 2025

Modified adomian decomposition method for solving PDEs of fractional order

Huda Omran Altaie, Buthyna N. Shihab, Adel Rashed A. Ali

Published Online: 08 May 2025DOI: 10.47974/JIM-2115

In this paper: A modify approach for approximating an analytical solution of some PDEs with fractional order is the Variational Adomian decomposition methodology (VIADM). We provide several examples to support our c...

AbstractReferencesFull Text PDF (511 KB)Views: 182Downloads: 86Citations: 0
Open Access Research Article·pp. 1155–1159·Vol. 28, Issue 3-BApr 2025

Analytical solutions for nonlinear differential equations via differential transform technique

Huda Omran Altaie, Adel Rashed A. Ali, Buthyna N. Shihab

Published Online: 08 May 2025DOI: 10.47974/JIM-2117

In this paper: A relatively novel technique differential equations named Differential Transform Technique (DTM) is proposed.  The evaluation of this approach is based on an iterative method in series form. Here, Fir...

AbstractReferencesFull Text PDF (304 KB)Views: 192Downloads: 90Citations: 0
Open Access Research Article·pp. 1297–1301·Vol. 28, Issue 3-BApr 2025

Solutions of special types of nonlinear differential equations with fractional order 

Huda Omran Altaie, Adel Rashed A. Ali

Published Online: 08 May 2025DOI: 10.47974/JIM-2116

In this paper: The major aim of this work is to apply a technique, Elzaki transform (ET), which is an iterative analytical technique to achieve an approximate analytical solution for some applications of nonlinear d...

AbstractReferencesFull Text PDF (416 KB)Views: 165Downloads: 94Citations: 0
Open Access Research Article·pp. 715–719·Vol. 27, Issue 4Jun 2024

Semi-analytical iteration techniques for solving differential equations

Huda Omran Altaie, Adel Rashed A. Ali, Reem Waleed Huisen

Published Online: 31 May 2024DOI: 10.47974/JIM-1756

In this paper: The main objective of this work is to use and compare some techniques, namely the variational Iteration method (VIM), Decomposition Method (ADM), Differential Transform Method (DTM), and Temimi and An...

AbstractReferencesFull Text PDF (337 KB)Views: 250Downloads: 100Citations: 0
Open Access Research Article·pp. 1415–1420·Vol. 26, Issue 7Oct 2023

Solutions for some integral equations by variation iteration adomain decomposition method

Huda Omran Altaie, Adel Rashed A. Ali

Published Online: 28 Oct 2023DOI: 10.47974/JIM-1559

In this paper: The major aim of this work is to propose a novel method, the Variation Iteration Adomain Decomposition Method (VIADM), an iterative semi-analytical method to achieve an approximate analytical solution...

AbstractReferencesFull Text PDF (371 KB)Views: 189Downloads: 79Citations: 0