[PDF] Top 20 The extended tanh method for certain system of nonlinear ordinary differential equations

... employed extended tanh-method by using leading order analysis of Painlev´e ...Our method is successful to find large class of solutions of certain well-known ... See full document

... The global phase portrait describes the qualitative behaviour of the solution set of a nonlinear ordinary differential equation, for all time. In general, this is as close as we can come to solving ... See full document

... ential equations [] tells us that the general solutions of () can be obtained ...autonomous system, there is no methodical theory which gives us first integrals, we will therefore ap- ply the division ... See full document

... the tanh-function method to obtain exact solutions for nonlinear evolution and wave ...the tanh-function method is using an independent variable to turn the nonlinear PDEs into ... See full document

... fractional-order differential equations ...iteration method, Adomian decomposition method and homotopy perturbation method to consider the time-fractional STO equation and obtained an ... See full document

... non-linear system of ordinary differential equations called Differential transformation method (DTM) is addressed and used to approximate solutions for a well-known non-linear ... See full document

... a system of equations, and, with attention to Gaussian nodes, we must solve the set of nonlinear ...the system of equations with elimination of two equations, and we add these ... See full document

... of ordinary differential equations [3], solution to system of nonlinear equations [5], application of genetic algorithm and CFD for flow control optimization [11], collision-free ... See full document

... Due to the exert identification of the Lagrange multi- plier, the solution of the linear problems can be deter- mined in a single iteration step. The following system of differential equations helps ... See full document

... of nonlinear ordinary differential equations system of fractional order such as human T-cell lymphotropic virus HIV infection of ...some ordinary differential equation ... See full document

... Most of the problems encountered in applied sciences, management and economics take the forms of second order linear ordinary differential equations. Sometimes, obtaining exact solutions through the ... See full document

... phenomena. Nonlinear phenomena appear in a wide vari- ety of scientific applications such as plasma physics, solid state physics, fluid ...these nonlinear phenomena, many mathematicians and physical ... See full document

... Petrov-Galerkin method for computations of fully enclosed flows is ...a system of nonlinear first order ordinary differential equations for the spectral expansion ...the ... See full document

... The nonlinear partial differential equations (NPDEs) are widely used to describe many important phenomena and dynamic processes in physics, chemistry, biology, fluid dynamics, plasma, optical fibers ... See full document

... the tanh function expansion method [1, 2] , Jacobi elliptic function method [3, 4] , Exp-function method [5] , the hyperbolic tangent function expansion method [6-8] , the F- expansion ... See full document

... coupled system of nonlinear stochastic ordinary differential equations in which the pairwise relationships are driven by both observable and unobservable (latent) ... See full document

... (HB) method is a powerful tool to find solitary wave solutions of nonlinear partial differential ...HB method to obtain more other kinds of exact solutions and introduced a continuation of [5] ... See full document

... works by computing an associated inhomogeneous equation ˆ L(y) = b, where ˆ L is completely reducible, and applying part of Algorithm I to that equation. Section 3.4 presents Algo- rithm III, an optimization of Algorithm ... See full document

... has certain disadvantages when trying to model real-world phenomena with fractional differential ...fractional differential operator D α proposed by M ... See full document

... If any y p i , i = 1, 2, 3, · · · , n contains terms that duplicate terms in y c , then that y p i must be mul- tiplied by x n , where n is the smallest positive integer that eliminates that duplication [9, 7]. 2.2. ... See full document