Browsing by Author "Jafarian, A."

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Citation Count: Jafarian, A...et al. (2020). "Analytic Solution for A Nonlinear Problem of Magneto-Thermoelasticity",Reports On Mathematical Physics, Vol. 71, No. 3.
Analytic Solution for A Nonlinear Problem of Magneto-Thermoelasticity
(2013) Jafarian, A.; Ghaderi, P.; Golmankhaneh, Alireza K.; Baleanu, Dumitru; 56389
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 Count: Jafarian, A...et al. (2013). "On a one-dimensional nonlinear coupled system of equations in the theory of thermo elasticity", Romanian Journal of Physics, Vol. 58, No. 7-8, pp. 694-702.
On a one-dimensional nonlinear coupled system of equations in the theory of thermo elasticity
(2013) Jafarian, A.; Ghaderi, P.; Golmankhaneh, Alireza K.; Baleanu, Dumitru; 56389
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.
On Bernstein Polynomials Method to the System of Abel Integral Equations
(Hindawi LTD, 2014) Jafarian, A.; Nia, Safa Measoomy; Golmankhaneh, Alireza K.; Baleanu, Dumitru; 56389
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.