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A wavelet-based collocation technique to find the discontinuous heat source in inverse heat conduction problems
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Abstract<p>This paper is devoted to an inverse problem of determining discontinuous space-wise dependent heat source in a linear parabolic equation from the measurements at the final moment. In the existing literature, a considerably accurate solution to the inverse problems with an unknown space-wise dependent heat source is impossible without introducing any type of regularization method but here we have to determine the unknown discontinuous space-wise dependent heat source accurately using the Haar wavelet collocation method (HWCM) without applying the regularization technique. This HWCM is based on finite-difference and Haar wavelets approximation to the inverse problem. In contrast to other numerical techniques, in HWCM, we used Haar functions that create a well-conditioned system of algebraic equations. The proposed method is stable and convergent because the numerical solution converges to the exact solution without observing any difficulty. Finally, some numerical examples are presented to verify the validity of the HWCM for different cases of the source term.</p>
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Publication Date
Mon Aug 07 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Science
Synthesis and Characterization of Tetradentate Complexes Type N2O2 From the Reaction of 2-Hydroxy -1, 2-Diphynel-Ethanone Oxime [H2L] With Mn II, Fe II, Co II, Ni II, Cu II and Hg II Ions
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Tetradentate complexes type [M (HL) 2] were prepared from the reaction of 2-hydroxy -1, 2-diphynel-ethanone oxime [H2L] and KOH with ( Mn II, Fe II, Co II, Ni II , Cu II and Hg II ), in methanol with (2:1) metal: ligand ratio. The general formula for Cu II and Mn II complexes are [M (HL) 2 Cl.H2O] K, for Co II [Co (HL) 2. H2O] and [M (HL) 2] for the rest of complexes. All compounds were characterised by spectroscopic methods, I.R, U.V-Vis, H.P.L.C, atomic absorption and conductivity measurements chloride content. From the data of these measurements, the proposed molecular structures for Fe II and Hg II complexes are tetrahedrals, while Mn II and Cu II complexes are octahedrals, Ni II complex adopting square planar structure and the complex

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Publication Date
Mon Aug 07 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Synthesis and Characterization of Tetradentate Complexes Type N2O2 From the Reaction of 2-Hydroxy -1, 2-Diphynel-Ethanone Oxime [H2L] With Mn II, Fe II, Co II, Ni II, Cu II and Hg II Ions
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       Tetradentate complexes type [M (HL) 2] were prepared from the reaction of 2-hydroxy -1, 2-diphynel-ethanone oxime [H2L] and KOH with ( Mn II, Fe II, Co II, Ni II , Cu II and Hg II ), in methanol with (2:1) metal: ligand ratio. The general formula for Cu II and Mn II complexes are [M (HL) 2 Cl.H2O] K, for Co II [Co (HL) 2. H2O] and [M (HL) 2] for the rest of complexes. All compounds were characterised by spectroscopic methods, I.R, U.V-Vis, H.P.L.C, atomic absorption and conductivity measurements chloride content. From the data of these measurements, the proposed molecular structures for Fe II and Hg II complexes are tetrahedrals, while Mn II and Cu II complexes are octahedrals, Ni II complex adopting

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Publication Date
Wed Apr 25 2018
Journal Name
Oriental Journal Of Chemistry
Diagnosis, Structure, and In vitro Antimicrobial and Antifungal Evaluation of some Amino benzoic acids, derived Ligand Schiff base and their Mixed Complexes with Cu(II), Hg(II), Mn(II), Ni(II) and Co(II)
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Innovative various Schiff bases and their Co(II), Ni(II) and Cu(II) and Hg(II)  compounds made by the condensation of 4-amino antipyrine with derived aminobenzoic acid (2-aminobenzoic acid, 3-aminobenzoic acid, and 4-aminobenzoic acid ) have been prepared by conventional approaches. These complexes were described by magnetic sensibility analysis, FT-IR spectra, and molar-conductance and elemental analysis. Analytical values appeared which the mixed-ligand complexes presented ratio about 2:1 (ligand: metal) with the chelation 4 or 6. The prepared compounds offered a good effect on the organisms; bacteria Staphylococcus-aurous, Escherichia-coli and fungi C. albicans, A. niger. Also, the biological products signalize which the mixed compl

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Publication Date
Thu Dec 01 2022
Journal Name
Iraqi Journal Of Physics
Detection of Physical and Chemical Parameters Using Water Indices (NDWI, MNDWI, NDMI, WRI, and AWEI) for Al-Abbasia River in Al-Najaf Al-Ashraf Governorate Using Remote Sensing and Geographic Information System (GIS) Techniques
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The purpose of this study was to find out the connection between the water parameters that were examined in the laboratory and the water index acquired from the examination of the satellite image of the study area. This was accomplished by analysing the Landsat-8 satellite picture results as well as the geographic information system (GIS). The primary goal of this study is to develop a model for the chemical and physical characteristics of the Al-Abbasia River in Al-Najaf Al-Ashraf Governorate. The water parameters employed in this investigation are as follows: (PH, EC, TDS, TSS, Na, Mg, K, SO4, Cl, and NO3). To collect the samples, ten sampling locations were identified, and the satellite image was obtained on the

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Publication Date
Wed Apr 25 2018
Journal Name
Oriental Journal Of Chemistry
Diagnosis, Structure, and In vitro Antimicrobial and Antifungal Evaluation of some Amino benzoic acids, derived Ligand Schiff base and their Mixed Complexes with Cu(II), Hg(II), Mn(II), Ni(II) and Co(II)
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Publication Date
Fri Sep 03 2010
Journal Name
Journal Of The College Of Education For Women
Analysis of Grammatical Forms and Semantic Functions of Hedging in Political Discourse: American Presidential Debate: تحلیل نماذج نحویة ذات وظائف دلالیة مستعملة في الخطاب السیاسي بوصفھ اسلوباً تحوطیاً: المناظرة الرئاسیة الاولى في الانتخابات الامریكیة
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Hedging is a linguistic avoidance of full commitment or precision. It is the use of a vague language. The main objectives of this study are to

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Publication Date
Mon Feb 20 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Synthesis , Characterization and Biological Evaluation of the Cr(III), Mn(II), Fe(II), Fe(III), Co(II), Ni(II), Cu (II), Zn(II), Cd(II) and Hg(II) IonComplexes with Mixed Ligands (Quinolone Antibiotics and α-Aminonitrile Derivatives)
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Quinolones L1 (ciprofloxacin) are manufactured wide range anti-infection agents with great oral ingestion and magnificent bioavailability. Because of the concoction capacities found on their core (a carboxylic corrosive capacity at the 3-position) and much of the time an essential piperazinyl ring (or anothertN-heterocycle) at the 7-positionh and a carbonylvoxygenc atomi atothel 4-positioni) quinolones bind metal particlesiframing buildings which can go about as bidentate. Bidentateiligands L2=2-phenyl-2-(P-methoxy anilinee) acetonitrilel was set up by the response of Primiryiaminejwithjbenzaldehyde, in nearness of potassiumbcyanidej and acidicimedia . Theimetalledifices were portrayed by the miniaturized scale component examination (C.H

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Publication Date
Tue Jan 01 2019
Journal Name
Advances In Materials Physics And Chemistry
The Role of Cooling Condition on the Superconducting Properties of Tl&amp;lt;sub&amp;gt;2-x&amp;lt;/sub&amp;gt;Hg&amp;lt;sub&amp;gt;x&amp;lt;/sub&amp;gt;Sr&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;Ca&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;Cu&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;O&amp;lt;sub&amp;gt;10+δ&amp;lt;/sub&amp;gt; System
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Publication Date
Mon Aug 19 2024
Journal Name
Journal Of Metastable And Nanocrystalline Materials
The Structural, Magnetic, and Electrochemical Properties of Composite PAni/Co&lt;sub&gt;0.2&lt;/sub&gt;Mn&lt;sub&gt;0.8&lt;/sub&gt;Fe&lt;sub&gt;2&lt;/sub&gt;O&lt;sub&gt;4&lt;/sub&gt;
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The current work concerns preparing cobalt manganese ferrite (Co0.2Mn0.8Fe2O4) and decorating it with polyaniline (PAni) for supercapacitor applications. The X-ray diffraction findings (XRD) manifested a broad peak of PAni and a cubic structure of cobalt manganese ferrite with crystal sizes between 21 nm. The pictures were taken with a field emission scanning electron microscope (FE-SEM), which evidenced that the PAni has nanofibers (NFs) structures, grain size 33 – 55 nm, according to the method of preparation, where the hydrothermal method was used. The magnetic measurements (VSM) that were conducted at room temperature showed that the samples had definite magnetic properties. Additionally, it was noted that the saturation magnetizatio

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Publication Date
Tue May 01 2018
Journal Name
Journal Of Physics: Conference Series
Partial substitution of Zn Effects on the Structural and Electrical Properties of High Temperature Hg<sub>0.95</sub>Ag<sub>0.05</sub>Ba<sub>2</sub>Ca<sub>2</sub>Cu<sub>3</sub>O<sub>8+δ</sub> Superconductors
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