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Search Results: 1 - 10 of 624332 matches for " Amr M. S. Mahdy "
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Second Kind Shifted Chebyshev Polynomials for Solving the Model Nonlinear ODEs  [PDF]
Amr M. S. Mahdy, N. A. H. Mukhtar
American Journal of Computational Mathematics (AJCM) , 2017, DOI: 10.4236/ajcm.2017.74028
Abstract: In this paper, we build the integral collocation method by using the second shifted Chebyshev polynomials. The numerical method solving the model non-linear such as Riccati differential equation, Logistic differential equation and Multi-order ODEs. The properties of shifted Chebyshev polynomials of the second kind are presented. The finite difference method is used to solve this system of equations. Several numerical examples are provided to confirm the reliability and effectiveness of the proposed method.
Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation  [PDF]
Amr M. S. Mahdy, Adel S. Mohamed, Ahmad A. H. Mtawa
Applied Mathematics (AM) , 2015, DOI: 10.4236/am.2015.63056
Abstract: This paper extends the homotopy perturbation Sumudu transform method (HPSTM) to solve linear and nonlinear fractional Klein-Gordon equations. To illustrate the reliability of the method, some examples are presented. The convergence of the HPSTM solutions to the exact solutions is shown. As a novel application of homotopy perturbation sumudu transform method, the presented work showed some essential difference with existing similar application four classical examples also highlighted the significance of this work.
RETRACTED:Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation  [PDF]
Amr M. S. Mahdy, Adel S. Mohamed, Ahmad A. H. Mtawa
Applied Mathematics (AM) , 2015, DOI: 10.4236/am.2015.61014

Short Retraction Notice

The substantial portions of the text came from ABDOLAMIR KARBALAIE et al, \"Exact Solution of Time-Fractional Partial Differential Equations Using Sumudu Transform\".

This article has been retracted to straighten the academic record. In making this decision the Editorial Board follows COPE's Retraction Guidelines. Aim is to promote the circulation of scientific research by offering an ideal research publication platform with due consideration of internationally accepted standards on publication ethics. The Editorial Board would like to extend its sincere apologies for any inconvenience this retraction may have caused.

Editor guiding this retraction: ?Prof. Chris Cannings? (EiC of AM)

The full retraction notice in PDF is preceding the original paper which is marked \"RETRACTED\".

Some Factors Affecting the Production of Carotenoids by Rhodotorula glutinis var. glutinis  [PDF]
Amr A. El-Banna, Amal M. Abd El-Razek, Ahmed R. El-Mahdy
Food and Nutrition Sciences (FNS) , 2012, DOI: 10.4236/fns.2012.31011
Abstract: A new yeast strain isolated from pin cushion flower (Scabiosa atropurpura) in our laboratory was selected from 200 yeast isolates as carotenoids producer and identified as Rhodotorula glutinis var. glutinis. The selected isolate was grown in synthetic medium to study the effect of carbon to nitrogen ratio, sources of nitrogen and carbon, mineral salts and incubation temperature on carotenoids production. The results indicated the following optimal conditions: carbon to nitrogen ratio of 5, ammonium sulphate as nitrogen source, sucrose as carbon source, presence of zinc sulphate in the medium and cultivation temperature of 25?C. The studied factors affected the dry biomass as well as the proportion of carotenoids and consequently the colour of pellets of the yeast. The yeast strain was grown under the optimal conditions to study the changes occurring in the medium and the pellets during carotenoids production for 6 days. Carotenoids production started after the first day of incubation and most of the carotenoids content in the yeast cells was produced during stationary phase. The highest cellular (861 μg?g–1) and volumetric (1.9 mg?L–1) carotenoids content were ob- tained after 5 days of growth.
An Integral Collocation Approach Based on Legendre Polynomials for Solving Riccati, Logistic and Delay Differential Equations  [PDF]
M. M. Khader, A. M. S. Mahdy, M. M. Shehata
Applied Mathematics (AM) , 2014, DOI: 10.4236/am.2014.515228

In this paper, we propose and analyze some schemes of the integral collocation formulation based on Legendre polynomials. We implement these formulae to solve numerically Riccati, Logistic and delay differential equations with variable coefficients. The properties of the Legendre polynomials are used to reduce the proposed problems to the solution of non-linear system of algebraic equations using Newton iteration method. We give numerical results to satisfy the accuracy and the applicability of the proposed schemes.

Coma Etiologies And Its One-Month Outcome Sina Hospital (Year 2000)
Togha M,Mahdy Zadeh E,Tahmasbi S
Tehran University Medical Journal , 2002,
Abstract: Defining the patient outcome and decision making about allocation of our limited fund and technology for comatose patients depends on our knowledge about frequency and outcome of various coma etiologies. We determined the various coma causes frequency and one-month outcome of non traumatic coma. . In addition the co existence of the primary neurologic signs with the one-month outcome of non traumatic coma was defined."nMethods and Materials: Our study is based on 130 comatose patients in a one-year study in Sina Hospital that consisted of 80 non traumatic and 50 traumatic patients."nResults: 74% of the cases were men and 26% were women. The most common etiology of coma was trauma (38.5%). The other common etiologies were cerebro vascular diseases (25.4%), cancer (10%) and hypoxia-ischemia (8.5%). The most common cause of coma in men was trauma (46.9%) while the vascular diseases were the most common etiology of coma in women (41.2%).In under 40 year patients trauma was the cause of coma in 57.5% of cases in respect to 28% in above 40 cases. On the other hand, vascular diseases and malignancies were the etiology of coma in 15% of under 40 year patients and 46.5% of above 40 year patients. Among traumatic etiologies of coma, subdural hematoma was the most frequent (40%). In our research none of patients who did not have one of pupillary, oculocephalic or motor reflexes in the 3rd and 7th day of the onset of coma had acceptable outcome after one month. With consideration of pupillary, corneal, oculocephalic and motor reflexes in combination, loss of at least two of them in the 3rd and 7th day accompanied with no acceptable outcome. On the other hand the presence of three or more reflexes in the 3rd and 7th day of coma was a good prognostic factor, with 80% and 88.9% chance of acceptable recovery respectively."nConclusion: According of the study, the best time for prediction of outcome in a comatose patient, is the third or seventh the day after the onset of coma. Also relay on combination of brain stem reflexes, gives us more acceptable result.
The Synthesis and Cytotoxicity of Novel Thiophene Derivatives Derived from 2-(4-Oxo-4,4-Dihydrothiazol-2-yl) Acetonitrile  [PDF]
Eman M. Samir, Amr S. Abouzied, Faten I. Hamed
International Journal of Organic Chemistry (IJOC) , 2016, DOI: 10.4236/ijoc.2016.62009
Abstract: The reaction of the 2-(4-oxo-4,4-dihydrothiazol-2-yl)acetonitrile 1 with cyaclopentanone (2) afforded the condensed product 3. The latter underwent a series of heterocyclizations through its reaction with different reagents. Moreover, compound 1 underwent the Gewald’s thiophene to afford compounds 15 and 17. The reaction of either hydrazine hydrate or phenylhydrazine with compound 17 gave the hydrazide derivatives 19a and 19b, respectively. The cytotoxicity of the newly synthesized products was measured towards the three cancer cell lines MCF-7, NCI-H460 and SF-268. The study showed that compounds 3, 5, 9c, 11, 13a, 13c, 17 and 19b were the most active compounds towards the three cancer cell lines.
Numerical Studies for Fractional-Order Logistic Differential Equation with Two Different Delays
N. H. Sweilam,M. M. Khader,A. M. S. Mahdy
Journal of Applied Mathematics , 2012, DOI: 10.1155/2012/764894
Abstract: A numerical method for solving the fractional-order logistic differential equation with two different delays (FOLE) is considered. The fractional derivative is described in the Caputo sense. The proposed method is based upon Chebyshev approximations. The properties of Chebyshev polynomials are utilized to reduce FOLE to a system of algebraic equations. Special attention is given to study the convergence and the error estimate of the presented method. Numerical illustrations are presented to demonstrate utility of the proposed method. Chaotic behavior is observed and the smallest fractional order for the chaotic behavior is obtained. Also, FOLE is studied using variational iteration method (VIM) and the fractional complex transform is introduced to convert fractional Logistic equation to its differential partner, so that its variational iteration algorithm can be simply constructed. Numerical experiment is presented to illustrate the validity and the great potential of both proposed techniques.
Autofluorescence of routinely hematoxylin and eosinstained sections without exogenous markers
S Deeb, KH Nesr, E Mahdy, M Badawey, M Badei
African Journal of Biotechnology , 2008,
Abstract: Hematoxylin and eosin stained paraffin section was examined by fluorescence microscopy to study the pattern and distribution of fluorescence. Autofluorescence was sensitive and specific for detection of elastic and collagen fibers. It was concluded that analytical morphological techniques based on autofluorescence can obtain information about morphological and pathological state of tissue and cells.
The Reaction of Cyanoacetylhdrazine with Furan-2-Aldehyde: Novel Synthesis of Thiophene, Azole, Azine and Coumarin Derivatives and Their Antitumor Evaluation  [PDF]
Wagnat W. Wardakhan, Sherif M. Sherif, Rafat M. Mohareb, Amr S. Abouzied
International Journal of Organic Chemistry (IJOC) , 2012, DOI: 10.4236/ijoc.2012.24044
Abstract: The reaction of cyanoacetylhydrazine 1 with furan-2-aldehyde 2 gives the hydrazide-hydrazone derivative 3. The latter compound undergoes a series of heterocyclization reactions to give new heterocyclic compounds. The antitumor evaluation of the newly synthesized products against three cancer cell lines, namely breast adenocarcinoma (MCF-7), non-small cell lung cancer (NCI-H460) and CNS cancer (SF-268) were recorded. Some of the synthesized compounds show high inhibitory effects.
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