[PDF] Top 20 Homotopy Perturbation Method for Solving Moving Boundary and Isoperimetric Problems

... of problems which comes up in science, engineering and economics, it is necessary to minimize amounts of a certain ...of problems. Such problems are called variational problems (see ... See full document

... the homotopy perturbation method (HPM) [1, 7] in nonlinear problems has been developed by scientists and engineers, because this method continuously deforms the difficult problem under ... See full document

... new method is applied to non-linear oscillators with discontinuities by He's [15], bifurcation of non-linear problems, periodic solution and bifurcations of delay-dierential equations, limit cycle [16, 17, ... 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

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

... “Homotopy perturbation technique for solving two-point boundary value problems – comparison with other methods”, ...“Homotopy perturbation method and Padé ... See full document

... The homotopy analysis method [13-17] is a general analytic approach to get series solutions of various types of nonlinear equations, including ordinary differential equations, partial differential ... See full document

... Integral-differential equations appear in many scientific applications, especially when we convert initial value problems or boundary value problems to integral equations. The integral-differential ... See full document

... where a, b, g and f are continuous functions in some region of the plane and g() = . By solving this boundary value problem by the homotopy perturbation method, we obtain an ... 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

... 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

... Diverse problems of physical interest are described by both linear and nonlinear partial differential equations with initial and boundary ...analytical method of solving nonlinear equations ... See full document

... the homotopy perturbation method (HPM) [1-23], variational iteration method (VIM) and Adomian decomposition method (ADM) ...standard homotopy and perturbation methods, the ... See full document

... In 1992, Liao [1] proposed the Homotopy Analysis Me- thod (HAM) to solve nonlinear differential equations analytically. Since then, HAM has been used to investi- gate a variety of mathematical and physical ... 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

... 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 a ... See full document

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

... and the changing process of p from zero to unity is just that of H(v,p) from to . In topology, this is called deformation, L(v)−L( ) and A(v) − f(r) are called homotopy. The embedding parameter p is introduced ... See full document

... the homotopy perturbation α-integral transform method is successfully applied for solving nonlinear time fractional gas dynamics ...this method is very powerful and efficient technique ... See full document

... the problems of nonlinear oscillators, such as Frequency-amplitude formulation [1-3], Energy bal- ance method [4-6], Variational iteration method [7,8], Homotopy perturbation ... See full document