Browsing by Author "Ghaderi, P."

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Analytic Solution for A Nonlinear Problem of Magneto-Thermoelasticity
(2013) Baleanu, Dumitru; 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.
Homotopy analysis method for solving coupled Ramani equations
(2014) Baleanu, Dumitru; Ghaderi, P.; Golmankhaneh, Alireza Khalili; Baleanu, Dumitru; 56389
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.
On a one-dimensional nonlinear coupled system of equations in the theory of thermo elasticity
(2013) Baleanu, Dumitru; 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.