نتایج جستجو برای: homotopy perturbationmethod hpm

تعداد نتایج: 10245  

Journal: :J. Applied Mathematics 2012
Héctor Vázquez-Leal

The solution methods of nonlinear differential equations are very important because most of the physical phenomena are modelled by using such kind of equations. Therefore, this work presents a rational version of homotopy perturbation method RHPM as a novel tool with high potential to find approximate solutions for nonlinear differential equations. We present two case studies; for the first exa...

2008
Francisco M. Fernández

We show that a recent application of homotopy perturbation method to a class of ordinary differential equations yields either useless or wrong results. There has recently been great interest in the application of several approximate procedures, like the homotopy perturbation method (HPM), the Adomian decomposition method (ADM), and the variation iteration method (VIM), to a variety of linear an...

Journal: :international journal of industrial mathematics 0
a. r. vahidi department of mathematics, college of science,yadegar-e-imam khomeini (rah) shahr-e-rey ‎branch, islamic azad university, tehran, iran. z. azimzadeh department of mathematics, college of science,yadegar-e-imam khomeini (rah) shahr-e-rey ‎branch, islamic azad university, tehran, iran. m. shahrestani‎ department of mathematics, science and research branch, islamic azad university, tehran, ‎iran.‎

in this paper a new form of the homptopy perturbation method is used for solving oscillator differential equation, which yields the maclaurin series of the exact solution. nonlinear vibration problems and differential equation oscillations have crucial importance in all areas of science and engineering. these equations equip a significant mathematical model for dynamical systems. the accuracy o...

Journal: :Axioms 2023

In this article, we investigate the utilization of Riemann–Liouville’s fractional integral and Caputo derivative in application Optimal Auxiliary Function Method (OAFM). The extended OAFM is employed to analyze non-linear coupled ITO systems KDV systems, which feature equations a order time. We compare results obtained for system with those derived from Homotopy Perturbation (HPM) New Iterative...

Journal: :journal of chemical and petroleum engineering 2012
abbas atashdehghan reza fathi hossein fazeli

in oil industry, spontaneous imbibition is an important phenomenon in recovery from fractured reservoirs which can be defined as spontaneous uptake of a wetting fluid into a porous solid. spontaneous imbibition involves both cocurrent and countercurrent flows. when a matrix block is partially covered by water, oil recovery is dominated by cocurrent imbibition i.e. the production of non wetting ...

Journal: :iranian journal of oil & gas science and technology 2013
hossein fazeli shahin kord

thermal recovery involves well-known processes such as steam injection (cyclic steam stimulation, steam drive, and steam-assisted gravity drainage), in situ combustion, and a more recent technique that consists of heating the reservoir with electrical energy. when high frequency is used for heating, it is called electromagnetic (em) heating. the applications of em heating for heavy-oil reservoi...

Journal: :journal of computational & applied research in mechanical engineering (jcarme) 2015
h. m. panahiha a. davar

in this paper, the nonlinear free vibrations of thin symmetric and non-symmetric cross-ply composite plates subjected to biaxial initial stresses are investigated. because of their excellent properties such as specific strength and specific stiffness, composite plates have wide applications in aerospace and mechanical structures. based on von-karman's strain-displacement relations and using gal...

2011
Mehmet Ali Balcı Ahmet Yıldırım

In recent years, it has been found that derivatives of non-integer order are very effective for the description of many physical phenomena such as rheology, damping laws, and diffusion processes. These findings invoked the growing interest on studies of the fractal calculus in various fields such as physics, chemistry, and engineering [1 – 4]. In general, there exists no method that yields an e...

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