Browsing by Author "Jafarian, A."

Now showing 1 - 8 of 8

Citation - WoS: 5
Citation - Scopus: 6
Analytic Solution for a Nonlinear Problem of Magneto-Thermoelasticity
(Pergamon-elsevier Science Ltd, 2013) Ghaderi, P.; Golmankhaneh, Alireza K.; Baleanu, D.; Jafarian, A.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this paper, we present a comparative study of the homotopy analysis method (HAM), the variational iteration method (VIM) and the iterative method (He's polynomials). The approximate solution of the coupled harmonic waves nonlinear magneto-thermoelasticity equations under influence of rotation is obtained. In order to control and adjust the convergence region and the rate of solution series, we show that it is possible to choose a valid auxiliary parameter h of HAM. Using the boundary and the initial conditions we select a suitable initial approximation. The results show that these methods are very efficient, convenient and applicable to a large class of problems.
Citation - WoS: 20
Citation - Scopus: 21
Analytical Approximate Solutions of the Zakharov-Kuznetsov Equations
(Editura Acad Romane, 2014) Jafarian, A.; Baleanu, Dumitru; Ghaderi, P.; Golmankhaneh, Alireza K.; Baleanu, D.; 56389; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this paper, analytical approximate solutions for the Zakharov-Kuznetsov equations by homotopy analysis method (HAM) and the He's polynomials iterative method (HPIM) are presented. Our results indicate the remarkable efficiency of HAM as compared to HPIM. The convergence of these two methods is also analyzed.
Citation - WoS: 20
Citation - Scopus: 22
Analytical Treatment of System of Abel Integral Equations by Homotopy Analysis Method
(Editura Acad Romane, 2014) Jafarian, A.; Baleanu, Dumitru; Ghaderi, P.; Golmankhaneh, Alireza K.; Baleanu, D.; 56389; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
Abel equation has important applications in describing the least time for an object which is sliding on surface without friction in uniform gravity, and the classical theory of elasticity of materials is modeled by a system of Abel integral equations. In this manuscript, the homotopy analysis method is presented for obtaining analytical solutions of a system of Abel integral equations as fractional equations. The applied method has lessened the size of calculation and improved the accuracy of solution in the case of the singular Abel integral equation. The illustrated examples and numerical results have proved the assertion.
Citation - Scopus: 2
Applications of Artificial Neural Network Technique To Polypyrrole Gas Sensor Data for Environmental Analysis
(American Scientific Publishers, 2015) Jafarian, A.; Baleanu, D.; Senel, M.; Okur, S.; Darwish, H.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this study, the electrochemical deposition technique was used to fabricate Polyprrole thin film. The QCM piezoelectric sensors have been used to investigate the possible sensing mechanisms and adsorption-desorption kinetics of the polyprrole films to compare sensor sensitivities of the atmosferic gasses such as humidity, CO2 and O2. The Langmuir model and ANN Technique have been used to Polypyrrole Gas Sensor Data for environmental analysis. For this, feedback, three layer ANN has been used for the experimental data for adsorption and desorption process of PPY versus humidity, PPY versus CO2 and PPy versus O2. Different number of hidden layer used in this work and good result gets with 14 neurons. Totally 2064 experimental data used for fitting ANN. The randomly selected data was used to training and the ANN was terminated when the error was less than 10-3. © 2015 American Scientific Publishers.
Citation - WoS: 20
Homotopy Analysis Method for Solving Coupled Ramani Equations
(Editura Acad Romane, 2014) Jafarian, A.; Baleanu, Dumitru; Ghaderi, P.; Golmankhaneh, Alireza K.; Baleanu, D.; 56389; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this manuscript, coupled Ramani equations are solved by means of an analytic technique, namely the homotopy analysis method (HAM). The HAM is a capable and a straightforward analytic tool for solving nonlinear problems and does not need small parameters in the governing equations and boundary/initial conditions. The result of this study presents the utility and sufficiency of HAM method. Comparisons demonstrate that there is a good agreement between the HAM solutions and the exact solutions.
Citation - WoS: 3
Citation - Scopus: 6
A Numerical Solution of the Urysohn-Type Fredholm Integral Equations
(Editura Acad Romane, 2014) Jafarian, A.; Baleanu, Dumitru; Measoomy, S. A.; Golmankhaneh, Alireza K.; Baleanu, D.; 56389; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In the present paper, a combination of the Bernstein polynomials and artificial neural networks (ANNs) is presented for solving the non-linear Urysohn equation. These polynomials are utilized to reduce the solution of the given problem to the solution of a system of non-linear algebraic equations. The remaining set of non-linear equations is solved numerically by using the ANNs approach to yield truncated Bernstein series coefficients a the solution function. Several illustrative examples with numerical simulations are provided to support the theoretical claims.
Citation - WoS: 14
Citation - Scopus: 16
On a One-Dimensional Nonlinear Coupled System of Equations in the Theory of Thermo Elasticity
(Editura Acad Romane, 2013) Jafarian, A.; Baleanu, Dumitru; Ghaderi, P.; Golmankhaneh, A.K.; Baleanu, D.; 56389; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The thermoelasticity deals with predicting the thermo mechanical treatment of elastic solids and it is a generalization of the classical theory of elasticity and the theory of thermal conductivity. In this manuscript, the system of nonlinear partial differential equations such as the Cauchy problem which appears in a one-dimensional nonlinear coupled system of equations in the theory of thermo elasticity is studied. The homotopy analysis method was used to perform successfully the numerical calculations.
Citation - WoS: 8
Citation - Scopus: 9
On Bernstein Polynomials Method To the System of Abel Integral Equations
(Hindawi Ltd, 2014) Nia, S. Measoomy; Golmankhaneh, Alireza K.; Baleanu, D.; Jafarian, A.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
This paper deals with a new implementation of the Bernstein polynomials method to the numerical solution of a special kind of singular system. For this aim, first the truncated Bernstein series polynomials of the solution functions are substituted in the given problem. Using some properties of these polynomials, the solution of the problem is reduced to solve a linear system of algebraic equations. In order to confirm the reliability and accuracy of the proposed method, some weakly Abel integral equations systems with comparisons are solved in detail as numerical examples.