[PDF] Top 20 Homotopy Perturbation Method for Solving Some Initial Boundary Value Problems with Non Local Conditions

... , 0, ∈ Γ (6) Where is a general differential operator. is a known analytic function, Γ is the boundary of the domain Ω and denotes directionalderivative in outward normal direction to Ω. The operator , ... See full document

... for solving differential equation with non local conditions, (Cheniguel, 2012; Cheniguel, 2011; Cheniguel & Ayadi (2010), Siddique, 2010; Rahman, 2009) ...for solving these ... See full document

... either initial or boundary ...the homotopy perturbation method [9] and Adomian Decomposition Method (ADM) ...resolution method of Boundary Value ... See full document

... and non-linear initial value boundary ...are perturbation method which is called the homotopy perturbation ...new perturbation technique which is called the ... See full document

... are given in examples. The rest of this paper is organized as follows. In Section 2 we de- scribe the basic formulation of HPM required for our subsequent development. In Section 3 we illustrate some examples ... See full document

... transfer problems which are known to arise in a variety of physical phenomenon and applied sciences [1, ...and homotopy perturbation methods for solving linear, nonlinear, initial and ... See full document

... the homotopy analysis method (HAM), we propose an analytical approach for solving the follow- ing type of nonlinear boundary value problems in finite ...by solving of a ... See full document

... decomposition method [44], the fractional ho- motopy perturbation transform method [45, 46], the fractional Adams-Bashforth method [47], and the fractional homotopy analysis transform ... See full document

... all boundary or initial conditions, which can be treated in the similar ...traditional homotopy method, Liao [1] [2] [3] con- structs the so-called zero-order deformation equation ... See full document

... article, Homotopy Perturbation Method is modified to some moving boundary value problem in order to obtain an approximate explicit solution with regard to phase change problem ... See full document

... analytic method for nonlinear problem, namely the homotopy perturbation ...the boundary value problems has been obtained in term of convergent series with easily computable ... See full document

... the non-linear feature and also variable coefficients of afore-mentioned equations, the analytical solutions are not ...the homotopy perturbation method (HPM) [1-23], variational iteration ... See full document

... moving boundary problems at least one of the boundary points of the admissible function is movable along a boundary ...to problems in which not only boundary conditions, ... See full document

... ear problems are generally difficult and achiev- ing their exact solutions are hard, various ap- proximate methods have been developed to solve ...the homotopy pertur- bation method HPM for ... See full document

... function method is a powerful classical one for analytical manipulation of solution of boundary value ...the homotopy perturbation method (HPM) is a technique which is powerful ... See full document

... Fourier method and Fourier- Birkhoff method and Laplace transformation ...unsolved problems, see the final section of the ...with some initial and boundary ...gral method, ... See full document

... of solving two-point boundary value problems (BVPs) for ordinary different- tial equations is used to solve those ...using Homotopy perturbation method and it gives a ... See full document

... flow problems have wide applications in fluid ...analysis method (ISHAM) for solving gen- eral boundary layer ...Three boundary layer problems are considered and solved in this ... See full document

... the homotopy perturbation Sumudu transform method (HPSTM) is extended to solve linear and nonlinear fractional Klein-Gordon ...the method, some examples are ...of homotopy ... See full document

... and non-linear Fredholm Integro-Differential Equations with initial conditions are ...and non-linear Fredholm Integro-Differential Equations, this paper presents a comparative study of He’s ... See full document