[PDF] Top 20 Green’s function homotopy perturbation method for the initial boundary value problems

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

... unknown function, and k x ( ) is a known analytic ...all boundary or initial conditions, which can be treated in the similar ...traditional homotopy method, Liao [1] [2] [3] con- ... See full document

... this boundary value problem by the homotopy perturbation method, we obtain an approximate or exact solution u(x, ...operator S defined in the following ... See full document

... of initial and boundary value ...the homotopy perturbation method (HPM) have been applied into many problems [1]-[10] and tested to be an effective ...the initial ... See full document

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

... decomposition method [5,57], variational iteration method [24,56], differential transform method [8,17],Laplace decomposition method [31,59], homotopy perturbation method ... See full document

... seventh-order boundary value problems generally arise in modelling induction motors with two rotor ...as function of rotor speed under the assumption that the frequency of rotor currents ... 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 with a ... See full document

... the homotopy perturbation method can be used successfully for solving the system of third-order boundary value ...this method can be used for solving the problem without any ... See full document

... the homotopy method for the numerical solution of equa- ...the method in the most effcient dif- ferential form and applied it to a wide class of problems such as the inversion of matrices, the ... See full document

... new method called Homotopy perturbation Sumudu transform method (HPSTM) for solving the linear and initial value ...proposed method is an elegant combination of the Sumudu ... See full document

... of problems in quantum field theory, relativistic physics, dispersive wave phenomena, plasma physic, nonlinear optics and applied physical ...transform method [1], the frac- tional Green ... See full document

... B u u n ∂ ∂ = x ∈Γ (6) where A is a general differential operator, B is a boundary operator, f x ( ) is a known analytical function. The operator A can be decomposed into two operators L and N , where L is ... See full document

... The above problem arises in applied science. For example, in the case ( , , , ( (⋅, ))) = −'( , , ( (⋅, ))) , problem (2) describes the evolution of a size-structured population where individuals are competing for common ... See full document

... Transform Method (DTM) as an alternative to existing methods for solving this class of ...nonlinear initial value problems in electrical circuit ...This method constructs a ... 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 ...nonlinear initial ... See full document

... In this work, we solve seventh-order boundary value problems by optimal homotopy asymptotic method using different types of auxiliary functions. Approximations are obtained for ... See full document

... paper, initial boundary value problems with non local boundary conditions are ...The homotopy perturbation method (HPM) is used for solving linear and non linear ... See full document

... of boundary value problems. Incidentally, most of the boundary value problems do not have closed form solution, this has led to the development of various semi- analytical ... 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