Browsing by Author "Ghaderi, Pariya"

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Citation Count: Jafarian, A...et al. (2014). "Analytical Approximate Solutions of the Zakharov-Kuznetsov Equations",Romanian Reports in Physics, Vol. 66, No. 2.
Analytical Approximate Solutions of the Zakharov-Kuznetsov Equations
(Editura Academiei Romane, 2014) Jafarian, Ahmad; Ghaderi, Pariya; Golmankhaneh, Alireza K.; Baleanu, Dumitru; 56389
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 Count: Jafarian, A...et al. (2014). "Analytical Treatment of System of Abel Integral Equations By Homotopy Analysis Method",Romanian Reports in Physics, Vol. 66, No. 3, pp. 603-611.
Analytical Treatment of System of Abel Integral Equations By Homotopy Analysis Method
(Editura Academiei Romane, 2014) Jafarian, Ahmad; Ghaderi, Pariya; Golmankhaneh, Alireza K.; Baleanu, Dumitru; 56389
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.