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RELIABLE ITERATIVE METHODS FOR SOLVING 1D, 2D AND 3D FISHER’S EQUATION
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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
Wed Mar 05 2014
Journal Name
Journal Of Engineering
Estimation of Some Mechanical Soil Properties from Static and Dynamic Plate Load Tests ‫
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Publication Date
Sun Jun 25 2023
Journal Name
Tikrit Journal Of Pure Science
Chemical comparison and Trichomes types of Salvia species growing in Anbar Governorate – Iraq
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The trichomes and chemical composition of three species of the genus Salvia wild-grown (Salvia lanigera, Salvia spinosa) and cultured (Salvia officinalis) were studied in the Anbar governate, the chemical components of the stem and leaves were studied by Gas chromatography–mass spectrometry(GC-MS), in addition to studying the trichomes of the epidermis in the stem and leaves (upper and lower epidermis) by Light microscope. Important differences appeared to us in the chemical study, where it was found that some compounds were found in species without others, which gives them taxonomic importance, also, the trichomes were important in distinguishing the studied species, the species S. spinosa was distinguished by the presence of gla

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Publication Date
Mon Mar 15 2021
Journal Name
Al-academy
Manifestations of Selfhood and Otherness in Indian Schools of Photography: رشا اكرم موسى
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The current research addressed (the manifestations of selfhood and otherness in Indian schools of photography) through studying the concept of selfhood and otherness and their manifestations in Indian miniatures scenes for the period (1625-1790). The researcher, in the first chapter, sought to clarify the research problem, importance, and the need for it, in addition to the objective of the study represented by the following: "how did selfhood and otherness manifest in the Indian schools of photography?". The researcher, then, concluded the aforementioned chapter by defining the terms that have direct relation to the title and the objectives of the research. As for the second chapter, it consists of an overview for the theoretical framew

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Publication Date
Mon Jun 30 2003
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Absorption of NO2 into Water and Nitric Acid Solutions in a Fixed Column
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Publication Date
Sun Jun 05 2011
Journal Name
Baghdad Science Journal
Synthesis, spectroscopic and biological studies of some metal complexes with orthoamino hydrazo benzene
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Ortho amino hydrazobenzene (L) has been prepared from the reaction of ortho amino phenyl thiol with phenyl hyrazan in mole ratio(1:1). It has been characterized by elemental analysis (C, H, N), IR, UV–Vis. The complexes of the bivalent ions (Co, Ni, Cu, Zn, Pd, Cd, Hg and Pb) and the trivalent (Cr) have been prepared and characterized too. The structural have been established by elemental analysis(C,H,N), IR , UV – Vis spectra , conductivity measurements , atomic absorption and magnetic susceptibility . The complexes showed characteristic behaviour of octahedral geometry around the metal ion and the( N,N) ligand coordinated in bidentate modeexcept with pd showed square planer. ? ,kf , ?max for the complexes were estimated too . ? for Co

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Publication Date
Sat Jan 01 2022
Journal Name
Journal Of Pharmaceutical Negative Results
Synthesis, Characterization and Study Electrical Conductivity of New Poly Thiadizole Derivatives, Silica Nanocomposites
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Heterocyclic polymers / silica nanocomposite one of important materials because of excellent properties such as thermal , electrical , and mechanical properties , so that hybrid nanomaterial are widely used in many fields, in this paper nanocomposite had prepared by modification of silica nanoparticals by using acrylic acid and functionalized the surface of nanoparticles, and using free Radical polymerization by AIBN as initiators and anhydrous toluene as solvent to polymerize functionalize silica nanoparticles with heterocyclic monomers to prepare heterocylic polymers / silica nanocomposite and study electrical conductivity , The nanocomposite which had prepared characterized by many analysis technique to study thermal properties such

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Scopus
Publication Date
Sun Sep 06 2015
Journal Name
Baghdad Science Journal
The Preparation of some New Mannich and Shiff bases derived from 2-Mercaptobenzimidazole
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The present work involved two steps: the first step include Mannich reaction was carried out on 2- mercaptobenzimidazole using formaldehyde and different secondary amine or amide to gives the compounds(2-16). The secnd step include preparation of (Ethylbenzimidazoly-2-mercaptoacetate)(17) from the reaction of 2- mercaptobenzimidazole with ethylchloroacetate than prepared hydrazide derivative[18]from reaction of compound(17) with hydrazinehydrate. Followed Preparation of shiff bases(19-24) and there reaction with mercaptoacetic acid to give a new compounds containing thiazolidinderivetives(25-30).Structure confirmation of all prepared compound were proved using FTIR and element analysis (C.H.N.S) and mesurmentedmelting poi

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Publication Date
Fri Nov 01 2024
Journal Name
Egyptian Journal Of Veterinary Sciences
Contamination with Proteus and Staphylococcus spp. Effect on Physical Properties of Sheep Semen
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Publication Date
Fri Dec 01 2023
Journal Name
International Society For The Study Of Vernacular Settlements
Place Identity and Urban Uniqueness: Insights from the AlRusafa Area, Old Baghdad, Iraq
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Publication Date
Wed Sep 15 2021
Journal Name
Al-academy
Poster design and its role in drug control: باسم محمد صالح مهدي الخالدي
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Our dear country faces many and varied challenges aimed at its history, civilization, its people, the scourge of drugs and psychotropic substances and their misuse. Therefore, we have a historical, ethical and professional responsibility to coordinate efforts and cooperation between all concerned to protect the Iraqi society from the threat of this scourge. Creative sources have varied in the variety of expressive means in politics, literature and the arts, in their style and technical treatment of various topics with innovative manifestations and intuitive interactive with visions as well as influences Psychological expressive descriptions of visual scene, it is one of the media and propaganda that contribute to the raising and developm

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