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Basem Attili 경남대학교 수학교육과 2020 Nonlinear Functional Analysis and Applications Vol.25 No.1
We consider the stability and bifurcation of the famous Brusselator chemical reaction-diffusion model. To reveal the mechanism with which the transition between the fast and slow process happens, we employ the slow-fast analysis method. For the stability, it is done through coordinate transformation in order to separate the system into slow and fast subsystems. We will use the integral sliding mode control law to show the anti- synchronization of the model for all initial conditions.
Numerical treatment of non-monotonic blow-problems based on some non-local transformations
Basem Attili 한국전산응용수학회 2024 Journal of applied mathematics & informatics Vol.42 No.2
We consider the numerical treatment of blow-up problems having non-monotonic singular solutions that tend to infinity at some point in the domain. The use of standard numerical methods for solving problems with blow-up solutions can lead to significant errors. The reason being that solutions of such problems have singularities whose positions are unknown in advance. To be able to integrate such non-monotonic blow-up problems, we describe and use a method of non-local transformations. To show the efficiency of the method, we present a comparison of exact and numerical solutions in addition to some comparison with the work of other authors.
A Second Order Finite Di¤erence Scheme for Some Singularly Perturbed Boundary Value Problems
Basem S. Attili 장전수학회 2010 Proceedings of the Jangjeon mathematical society Vol.13 No.2
A numerical algorithm based on a second order finite di¤erence scheme is proposed to solve singularly perturbed linear two point value problems. The system is first decoupled partially into two independent subsystems,fast and slow components. Each subsystem then is solved separately using the proposed algorithm. We present some numerical examples to show the effciency of the algorithm.
The secant method and the generalized divided differences for solving nonlinear operator equations
B. S. Attili 장전수학회 2006 Advanced Studies in Contemporary Mathematics Vol.13 No.1
We consider solving nonlinear operator equations using the secant method and the generalized divided dierences. We establish some local and semilocal convergence results for the proposed method. Numerical examplesand comparison with the work of others will be presented to demonstrate the efficiency of the method.
B. S. Attili,M. I. Syam 장전수학회 2007 Advanced Studies in Contemporary Mathematics Vol.14 No.1
We will consider the homotopy perturbation method in the approximation of eigenvalues and eigenfunctions for a class of two point boundary value problems. It will be shown that the method is easy to use and competes well with other methods. Numerical examples will be presented to show the efficiency of the method proposed.
Numerical computation of Pitchfork bifurcation points arising in applied sciences
B. S. Attili 장전수학회 2008 Advanced Studies in Contemporary Mathematics Vol.17 No.1
We will consider the numerical computation of pitchfork bifurcation points under certain symmetry conditions for parameter dependent problems. These types of bifurcation points are referred to as symmetry breaking bifurcation points. A direct method is employed to characterize the singularity. The presence of symmetry will reduce the amount of work needed. Numerical examples will be solved to demonstrate the efficiency of the suggested approach.
Numerical Treatment of Two-Point Boundary Value Problems of Fractional Di¤erential Equations
B. S. Attili 장전수학회 2015 Proceedings of the Jangjeon mathematical society Vol.18 No.3
We consider the numerical treatment of two-point boundary value prob- lems of fractional di¤erential equations with Caputos derivatives of order γ where 1 < γ < 2. We introduce the fractional Green functions in order to prove the existence and uniqueness of the solutions to the problem. Numerically, we introduce the simple shooting method for linear and nonlinear problems. The results obtained are accurate and competes well with results by other authors using di¤erent approaches.
Annaluri, Sreenivasa Rao,Attili, Venkata Ramana International Journal of Computer ScienceNetwork S 2022 International journal of computer science and netw Vol.22 No.7
Text mining is an important process used for analyzing the data collected from different sources like videos, audio, social media, and so on. The tools like Natural Language Processing (NLP) are mostly used in real-time applications. In the earlier research, text mining approaches were implemented using long-short memory (LSTM) networks. In this paper, text mining is performed using average-stochastic gradient descent weight-dropped (AWD)-LSTM techniques to obtain better accuracy and performance. The proposed model is effectively demonstrated by considering the internet movie database (IMDB) reviews. To implement the proposed model Python language was used due to easy adaptability and flexibility while dealing with massive data sets/databases. From the results, it is seen that the proposed LSTM plus weight dropped plus embedding model demonstrated an accuracy of 88.36% as compared to the previous models of AWD LSTM as 85.64. This result proved to be far better when compared with the results obtained by just LSTM model (with 85.16%) accuracy. Finally, the loss function proved to decrease from 0.341 to 0.299 using the proposed model
Production of Saccharogenic and Dextrinogenic Amylases by Rhizomucor pusillus A 13.36
Tony M. Silva,Derlene Attili-Angelis,Ana Flavia Azevedo Carvalho,Roberto Da Silva,Mauricio Boscolo,Eleni Gomes 한국미생물학회 2005 The journal of microbiology Vol.43 No.6
A newly-isolated thermophilic strain of the zygomycete fungus Rhizomucor pusillus 13.36 produced highly active dextrinogenic and saccharogenic enzymes. Cassava pulp was a good alternative substrate for amylase production. Dextrinogenic and saccharogenic amylases exhibited optimum activities at a pH of 4.0-4.5 and 5.0 respectively and at a temperature of 75oC. The enzymes were highly thermostable, with no detectable loss of saccharogenic or dextrinogenic activity after 1 h and 6 h at 60oC, respectively. The saccharogenic activity was inhibited by Ca2+ while the dextrinogenic was indifferent to this ion. Both activities were inhibited by Fe2+ and Cu2+ Hydrolysis of soluble starch by the crude enzyme yielded 66% glucose, 19.5% maltose, 7.7% maltotriose and 6.6% oligosaccharides.
Production of Saccharogenic and Dextrinogenic Amylases by Rhizomucor pusillus A 13.36
Silva Tony M.,Attili-Angelis Derlene,Carvalho Ana Flavia Azevedo,Silva Roberto Da,Boscolo Mauricio,Gomes Eleni The Microbiological Society of Korea 2005 The journal of microbiology Vol.43 No.6
A newly-isolated thermophilic strain of the zygomycete fungus Rhizomucor pusillus 13.36 produced highly active dextrinogenic and saccharogenic enzymes. Cassava pulp was a good alternative substrate for amylase production. Dextrinogenic and saccharogenic amylases exhibited optimum activities at a pH of 4.0-4.5 and 5.0 respectively and at a temperature of $75^{\circ}C$. The enzymes were highly thermostable, with no detectable loss of saccharogenic or dextrinogenic activity after 1 hand 6 h at $60^{\circ}C$, respectively. The saccharogenic activity was inhibited by $Ca^{2+}$ while the dextrinogenic was indifferent to this ion. Both activities were inhibited by $Fe^{2+}\;and\;Cu^{2+}$ Hydrolysis of soluble starch by the crude enzyme yielded $66\%$ glucose, $19.5\%$ maltose, $7.7\%$ maltotriose and $6.6\%$ oligosaccharides.