Department of Mathematics College of Education for Pure Science (Ibn Al-Haitham) University of Baghdad , Baghdad, 10071, Iraq
Huda Omran Altaie, Buthyna Najad Shihab, Hatam Y. Khalaf
In this paper: The Temimi and Ansari Technique (TAM), a new and powerful analytical method, has been proposed for solving nonlinear problems. As demonstrated by the findings, the method converges to the correct solu...
Huda Omran Altaie, Hatam Y. Khalaf, Buthyna Najad Shihab
In this paper: An major goal for this work is to propose a modified technique, the Elzaki Adomain Decomposition Method (ETADM), an iterative analytical approach that yields approximate analytical solutions for certa...
Ahmed Najah Abdulhadi, Huda Omran Altaie
In this paper: Coupled NT and Decomposition technique (NTADM), is a powerful methodology for dealing with PDEs. The technique used NT to eliminate the time of the driving equation, whereas ADM tackles nonlinear vari...
Ayman Kaled, Huda Omran Altaie
In this paper: An efficient combination of ADM and the Sumudu transformation for solving random ordinary differential equations (RODEs) is introduced as a novel tool to obtain an accurate analytical solution. It is...
Ayman Kaled, Huda Omran Altaie
In this paper: A new transform Sumudu Adomian Decomposition method (STADM) for non-linear random ordinary differential equations and the non-linear Random Integro differential equation (NRIDE) are utilized in a nove...
Ahmed Najah Abdulhadi, Huda Omran Altaie
In this paper: An application of fractional differential equations is on the rise across physics, biology, and engineering. This is especially true when standard integer-order models fail to adequately describe a gi...
Huda Omran Altaie, Buthyna N. Shihab, Adel Rashed A. Ali
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...
Huda Omran Altaie, Adel Rashed A. Ali, Buthyna N. Shihab
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...
Huda Omran Altaie, Adel Rashed A. Ali
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...
Asmaa Mustafa Mohammed, Huda Omran Altaie
In this paper: The Elzaki Adomian Decomposition Method (ETADM), an efficient and powerful technique, is used to analyze several nonlinear fractional Riccati differential equations. This method, which employs Elzaki...
Asmaa Mustafa Mohammed, Huda Omran Altaie
In this paper: Elzaki Transform Adomian decomposition technique (ETADM), which an elegant combine, has been employed in this work to solve non-linear Riccati matrix differential equations. Solutions are presented to...
Asmaa Mustafa Mohammed, Huda Omran Altaie
In this paper: An efficient combination of Adomian Decomposition iterative technique coupled Elzaki transformation (ETADM) for solving Telegraph equation and Riccati non-linear differential equation (RNDE) is int...
Oras Abbas, Huda Omran Altaie
In this paper: Market share is a major indication of business success. Understanding the impact of numerous economic factors on market share is critical to a company’s success. In this study, we examine the market s...
Oras Abbas Salman, Huda Omran Altaie
In this paper: Combine the Laplace Adomian Decomposition method (LTADM) for non-linear random ordinary differential equations is utilised in a novel way to obtain accurate solutions.The iterative implementation of t...
Oras Abbas Salman, Huda Omran Altaie
In this paper: An efficient combination of Adomian Decomposition iterative technique coupled with Laplace transformation to solve non-linear Random Integro differential equation (NRIDE) is introduced in a nove...
Fadhel S. Fadhel, Huda Omran Altaie, Qays Jasem Hussein
In this paper: This work offers a fast, approximate analytical technique for solving time fractional differential equations. CSTADM is a gentle combination of two powerful approaches to solve fractional PDE’s. The h...
Huda Omran Altaie, Adel Rashed A. Ali, Reem Waleed Huisen
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...
Qays Jasem Hussein, Huda Omran Altaie
In this paper: The present paper, a combination of Sumudu Adomian Decomposition approach (STADM)is apply to investigate the analytical solutions for some Fractional Differential Equations(FDEs). The STADM is a new t...
Qays Jasem Hussein, Huda Omran Altaie
In this paper: The Caputo formulation is used to handle fractional derivatives in this study. The well-known method form employs Adomian’s polynomials as the proper mathematical tool for dealing with nonlinear varia...
Huda Omran Altaie, Adel Rashed A. Ali
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...
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