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RELIABLE ITERATIVE METHODS FOR SOLVING 1D, 2D AND 3D FISHER’S EQUATION

In the present paper, three reliable iterative methods are given and implemented to solve the 1D, 2D and 3D Fisher’s equation. Daftardar-Jafari method (DJM), Temimi-Ansari method (TAM) and Banach contraction method (BCM) are applied to get the exact and numerical solutions for Fisher's equations. The reliable iterative methods are characterized by many advantages, such as being free of derivatives, overcoming the difficulty arising when calculating the Adomian polynomial boundaries to deal with nonlinear terms in the Adomian decomposition method (ADM), does not request to calculate Lagrange multiplier as in the Variational iteration method (VIM) and there is no need to create a homotopy like in the Homotopy perturbation method (HPM), or any assumptions to deal with the nonlinear term. The obtained solutions are in recursive sequence forms which can be used to achieve the closed or approximate form of the solutions. Also, the fixed point theorem was presented to assess the convergence of the proposed methods. Several examples of 1D, 2D and 3D problems are solved either analytically or numerically, where the efficiency of the numerical solution has been verified by evaluating the absolute error and the maximum error remainder to show the accuracy and efficiency of the proposed methods. The results reveal that the proposed iterative methods are effective, reliable, time saver and applicable for solving the problems and can be proposed to solve other nonlinear problems. All the iterative process in this work implemented in MATHEMATICA®12. ABSTRAK: Kajian ini berkenaan tiga kaedah berulang boleh percaya diberikan dan dilaksanakan bagi menyelesaikan 1D, 2D dan 3D persamaan Fisher. Kaedah Daftardar-Jafari (DJM), kaedah Temimi-Ansari (TAM) dan kaedah pengecutan Banach (BCM) digunakan bagi mendapatkan penyelesaian numerik dan tepat bagi persamaan Fisher. Kaedah berulang boleh percaya di kategorikan dengan pelbagai faedah, seperti bebas daripada terbitan, mengatasi masalah-masalah yang timbul apabila sempadan polinomial bagi mengurus kata tak linear dalam kaedah penguraian Adomian (ADM), tidak memerlukan kiraan pekali Lagrange sebagai kaedah berulang Variasi (VIM) dan tidak perlu bagi membuat homotopi sebagaimana dalam kaedah gangguan Homotopi (HPM), atau mana-mana anggapan bagi mengurus kata tak linear. Penyelesaian yang didapati dalam bentuk urutan berulang di mana ianya boleh digunakan bagi mencapai penyelesaian tepat atau hampiran. Juga, teorem titik tetap dibentangkan bagi menaksir kaedah bentuk hampiran. Pelbagai contoh seperti masalah 1D, 2D dan 3D diselesaikan samada secara analitik atau numerik, di mana kecekapan penyelesaian numerik telah ditentu sahkan dengan menilai ralat mutlak dan baki ralat maksimum (MER) bagi menentukan ketepatan dan kecekapan kaedah yang dicadangkan. Dapatan kajian menunjukkan kaedah berulang yang dicadangkan adalah berkesan, boleh percaya, jimat masa dan boleh guna bagi menyelesaikan masalah dan boleh dicadangkan menyelesaikan masalah tak linear lain. Semua proses berulang dalam kerja ini menggunakan MATHEMATICA®12.

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Publication Date
Fri Jul 01 2016
Journal Name
Al–bahith Al–a'alami
The Color and its Semiotic Reflections in Iraqi Newspapers.

The Colour is one of important aspect of human activity, especially in General arts and press, and also is one of the essential elements to achieve and build the idea of design technology in the appropriate places, according to the space of designs work.
In a view of the colour and its relationship with the Semiotics, we can find that the objectives goals at the point of visual formats that’s «oral or written”. In last years, the intellectual concerns of Semiotics through eye contact methods, that’s meaning contact methods for get messages of sense of sight.
The semiotics term Can be defined into: (the sequential feature or network system has relations according agreed language rules, in a particular environment, also is a g

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Publication Date
Sun Dec 16 2018
Journal Name
Al-academy
Graphic Design and Functional Applications in the Interior Space

The overlap between science and knowledge is a feature of the 21st century. This integration, which crosses the traditional boundaries between academic disciplines, has occurred because of the emergence of new needs and new professions. This overlap has overshadowed the arts in general and design in particular. The Design achievements have not been far away from the attempts of integration of more than one type or design application to produce new outputs unique in its functional and aesthetic character, including the terms of internal graphic design.

The researcher raises the question of the functional dimension of graphic design in the internal space, in order to answer it through the methodological framework, which includes th

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Publication Date
Sat Dec 30 2023
Journal Name
Journal Of The College Of Education For Women
Salience and Erasure in Environmental Advertisements: An Ecolinguistic Study

Ecolinguistics is a twofold field in which ecology and language are its two major concerns. That is, this field is concerned with the way through which our thoughts, ideologies and the like influence the environment. The present study aims at analyzing (6) constructive and destructive environmental advertisements to find out how the techniques of erasure and salience operate in these types of advertisements. It studies the linguistic expressions that achieve these techniques in the constructive and destructive advertisements. The qualitative and quantitative methods are exploited in the current study. Analyzing (6) constructive and destructive environmental advertisements in accordance with Stibbe’s (2015) model of salience and erasure

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Publication Date
Sun Jun 05 2016
Journal Name
Baghdad Science Journal
Gelatin Grafted Methyl Nadic Anhydride and Substitution With Salbutamol

Gelatin a promising biomaterial which is useful and interesting natural polymer which offer possibilities of chemical modification through grafted copolymerization with an saturated acid anhydride such as methyl nadic anhydride formatted gelatin –g- methyl nadic anhydride copolymer (A1), then modified to its corresponding polymer (A2) by substituted salbutamol as useful derivative as biomaterial .the prepared drug biopolymer was characterization by FTIR spectroscopy and thermal analysis was studied controlled drug release was measured in different buffer solution at 37C0 .

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Publication Date
Sun Jan 24 2016
Journal Name
Al-academy
Contemporary Sculpture vision and concept: محمد عبد الحسين يوسف

The research is divided into three chapters, the first of them to the research problem and its importance and its purpose and its limits, while the second chapter review of contemporary sculpture as a vision and concept, The third chapter came to view the most important results reached by the search.

 

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Publication Date
Sun Apr 01 2012
Journal Name
Journal Of The Faculty Of Medicine Baghdad
Accuracy and safety of CT guided transthoracic needle biopsy

Background:Image guided transthoracic needle biopsy (TTNB) has great diagnostic value for the definitive characterization of lung lesions and is an established primary procedure to diagnose pulmonary nodules. It is traditionally performed as an outpatient procedure. It is safe, accurate, sensitive, and can obviate surgical procedure.
Objective: to assess the accuracy and safety of CT-guided TTNB in Baghdad Teaching Hospital 
Patients & Methods: From December 2009 to September 2011, we conducted a prospective study of 43 consecutive outpatient and inpatient lung biopsies. An informed consent was obtained from the patients. No sedation is required. All biopsies were performed using CT guidance withou

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Publication Date
Sun Jan 01 2023
Journal Name
Mathematical Statistician And Engineering Applications
Publication Date
Tue Jan 02 2018
Journal Name
Journal Of Educational And Psychological Researches
Violence and sexual harassment against minors, causes, prevention strategies

The aim of this study to investigate the sexual harassment, prevention strategies, and the appropriate ways that tackle this phenomena. The current research consisted of four chapter; the first chapter gave a general introduction about the targeted topic followed by the problem of statement, the significance of study, study’s aims, and end with the limitations of study. The second section of chapter one referred to the common concepts of study. Third section addressed the previous studies that related to the current one. Chapter two concerned with the sexual violence against minors. It has four section; first section addressed number of concepts which related to sexual violence. The second section focused on the implications of sexual

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Publication Date
Sat Jun 15 2019
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Proteoytic Activity and Swarming Growth of Proteus spp. Isolates.

Many clinical isolates of proteus spp. (30 isolates of P
mirabilis and 30 isolates of P. vulgaris) from patients with urinary
tract infections (UTIs) were examined for their ability to produce
proteolytic enzymes and their ability to form swarming growth. Most
(90%) of P. mirabilis and 60% of P. vulgaris isolates secreta
proteolytic enzymes. A strong correlation was found between the
ability of a strain to secreted proteases and it's ability to form
swarming growth. Non- swarming isolates invariably appeared to be
non- proteolytic. However, some isolates (12 isolates of P. vagaries)
were non- proteolytic even when they formed swarming growth

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Publication Date
Thu Oct 01 2015
Journal Name
Journal Of Engineering
Wear Rate and Hardness of Boride Low Carbon Steel

There are no single materials which can withstand all the extreme operating conditions in modern technology.  Protection of the metals from hostile environments has therefore become a technical and economic necessity.  

In this work, for enhancing their wear-resistance, boride layers were deposited on the surface of low carbon steel by a pack cementation method at 850 °C for (2, 4, and 6) h using vacuum furnace. The boronizing process was achieved using different concentration of boron source (20, 25, and 30) % wt. into coating mixture to optimize the best conditions which ensure the higher properties with lower time. The coating was characteristic by X ray diffraction (XRD), and it is confirmed t

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