The method of operational matrices based on different types of polynomials such as Bernstein, shifted Legendre and Bernoulli polynomials will be presented and implemented to solve the nonlinear Blasius equations approximately. The nonlinear differential equation will be converted into a system of nonlinear algebraic equations that can be solved using Mathematica®12. The efficiency of these methods has been studied by calculating the maximum error remainder ( ), and it was found that their efficiency increases as the polynomial degree (n) increases, since the errors decrease. Moreover, the approximate solutions obtained by the proposed methods are compared with the solution of the 4th order Runge-Kutta method (RK4), which gives very good agreement. In addition, the convergence of the proposed approximate methods is given based on one of the Banach fixed point theorem results.
The identity of the cultural identity of the party (the ego and the other) during a series of questions subject to the transformations of history and the process of culture, the search of identity and its characteristics within the novel discourse calls to address the cultural impact communication discourse aims to reveal the functional and intellectual benefits that contributed to the formation of cultural identity, and stand at the most important manifestations And the secretions that mimic a world remains part of it present in the imagination of the producer of the text is moving in accordance with the holistic perception of the world embedded between the lines of the trial.The question of identity as an intellectual dimension in orde
... Show MoreBackground: The synthesis and characterization of novel liquid crystalline compounds have garnered signi|cant attention due to their potential applications in biomedical sciences, including drug delivery systems, biosensing, and diagnostic tools. This study focuses on synthesizing and characterizing new thiazolothiadiazole-based liquid crystals and evaluating their mesophase properties. Methods: A series of novel compounds containing 5H-thiazolo[4,3−b][1,3,4] thiadiazole units were synthesized via multi-step chemical reactions. The synthesis involved the reaction of chloroethyl acetate with 4−hydroxybenzaldehyde to yield an aldehyde intermediate, followed by subsequent transformations using hydrazine hydrate, ethylacetoacetate, and 1,2
... Show MoreThe compound 3-[4Ì„-(4Ë-methoxy benzoyloxy) benzylideneamino]-2-thioxo-imidazolidine-4-one [III] was prepared from the cyclization of thiosemicarbazone [II] with
ethyl α -chloroacetate in the presence of fused sodium acetate. Treatment the later compound
with acetic anhydride yielded the corresponding 1-Acetyl-3-[ 4Ì„- (4Ë- methoxy benzoyloxy)
benzylideneamino] – 2 – thioxo -imidazolidine-4-one [IV]. 1,3-Oxazepine derivatives [V]a-d
and [VI]a-d are obtained from the reaction of compounds[III] and [IV] with different acid
anhydrides, in dry benzene. The FTIR and
1
HNMR spectroscopy are indicated a good
evidence for the formation of the synthesized compounds. Some of the synthesized
This work involves synthesis of novel Schiff bases derivatives contining isoxazoline or pyrazoline units starting with chalcons . 4-Aminoacetophenone was react with pnitrobenzaldehyde or p-chlorobenzaldehyde in basic medium giving chalcones [I]a,b by claisenschemidt reactions. The chalcones [I]a,b were reacted with hydroxylamine hydrochloride giving isoxazolines [II]a,b in basic medium. The chalcone [I]a could also reacted with hydrazine hydrate to give pyrazolines [III]a . The novel Schiff bases with structural formula [VIII]n , [IX]n , [X]m and [XI]m were prepared by the reaction of amino compounds ; isoxazoline [II]a,b and pyrazolines [III]a with monoaldehydes [VI]n and dialdehydes [VII]m , respectively in dry benze
... Show MoreBackground: Pseudomonas aeruginosa is a devious pathogen with the tendency to prompt many acute and serious chronic diseases. This study aims to detect novel genes (Toxins-Antitoxins II system), especially; higB and higA encoded from P. aeruginosa by PCR technique and the relation between these genes and antibiotic resistance of P. aeruginosa. Methods: This study detected 50 isolates of P. aeruginosa from distinct clinical sources. The most common origin of isolates was (44%) burn swabs, (22%) urine culture, (12%) wound swabs, (14%) sputum, and (8%) ear swabs. The bacteria were isolated using implantation MacConkey agar and blood agar, as well as biochemical tests including oxidase test, catalase test then VITEK-2 System of P. aerug
... Show MoreThe synthesis, characterization and liquid crystalline properties of N4,N40-bis((1 H-benzo[d]imidazol-2- yl)methyl)-3,30-dimethyl-[1,10-biphenyl]-4,40-diamine and of their corresponding Mn(II), Fe(II), Ni (II), Cu(II), and Zn(II) complexes are described. The ligand and complexes have been characterized by elemental analysis, magnetic susceptibility measurements (meff), conductometric measurements and Fourier Transform Infrared (FTIR), Nuclear Magnetic Resonance (1H NMR), (13C-NMR) and UV–Vis spectroscopy. Spectral investigations suggested octahedral coordination geometrical arrangement for M(II) complexes. The phase transition temperatures were detected by differential scanning calorimetry (DSC) analysis and the phases are confirmed by op
... Show MoreThe synthesis, characterization and liquid crystalline properties of N4,N40-bis((1 H-benzo[d]imidazol-2- yl)methyl)-3,30-dimethyl-[1,10-biphenyl]-4,40-diamine and of their corresponding Mn(II), Fe(II), Ni (II), Cu(II), and Zn(II) complexes are described. The ligand and complexes have been characterized by elemental analysis, magnetic susceptibility measurements (meff), conductometric measurements and Fourier Transform Infrared (FTIR), Nuclear Magnetic Resonance (1H NMR), (13C-NMR) and UV–Vis spectroscopy. Spectral investigations suggested octahedral coordination geometrical arrangement for M(II) complexes. The phase transition temperatures were detected by differential scanning calorimetry (DSC) analysis and the phases are confirmed by op
... Show More