[PDF] Top 20 The variational iteration method for solving linear and nonlinear Schrodinger equations

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... The mainaimof this paper is to consider the effectiveness of the Aboodh transform homotopyperturbationmethod in solving Linear and Nonlinear Schrodinger Equations. This methodATHPMfinds ... See full document

... He’s Variational Iteration Method (VIM) to find the optimal ...Parametric Iteration Method (PIM) with emphasis on preference of PIM over ... See full document

... modified variational iteration method for solving linear ...modified variational iteration method for solving the heat transfer problems with variable ...The ... See full document

... the Nonlinear Klein-Gordon equa- tion are all studied extensively in an assortment of ...for Nonlinear Klein-Gordon Equations, a number of methods have been devised, some of which are the Modified ... See full document

... of nonlinear partial integro-differential equations by using Banach fixed point ...He’s variational iteration method for solving nonlinear partial integro-differential ... See full document

... the variational iteration technique to evaluate a class of linear Volterra fuzzy integro-differential equations; this technique gives a better accuracy of the ...differential equations. ... See full document

... differential equations can model many phenomena in different fields of science and engineering in order to present their behaviors and effects by mathematical ...the equations do not have analytical ... See full document

... extend variational iteration method (VIM) to find approximate solutions of linear and nonlinear thir- teenth order differential equations in boundary value ...The method ... See full document

... for solving nonlinear equations. The method was first initiated by [9], and it was successfully used by various researchers to investigate the linear andnonlinear problems [9, ...the ... See full document

... apply Variational Iteration Method (VIM) to solve typhoid fever model for a given constant ...by nonlinear first order ordinary differential ...using Variational Iteration ... See full document

... differential equations with e Schrodinger equation is one of the im- many applications in physics and ...in linear or nonlinear case such as finite difference method [16], ... See full document

... paper, Variational iteration transform method is employed to determine the exact solution of the Burger equation which is one-dimensional and coupled Burger ’ s equations nonlinear ... See full document

... N[ u ] = Φ( t, x, u, u t , u x , · · · ) − α ( x, t ) u t − β ( x, t ) u, (3) where, as shown above, Λ with the property Λ y ≡ 0 when y ≡ 0 denotes the linear operator with respect to u and N is a nonlinear ... See full document

... tional iteration method (VIM), see [7, ny authors have been worked about varia- 8, 14, 9] for more ...iterative method which used the Lagrange ...for solving n-th order fuzzy differential ... See full document

... Ghazvini, “He’s variational iteration method for solving hyperbolic di ff erential equations,” International Journal of Nonlinear Sciences and Numerical Simulation , vol. He, “Variational[r] ... See full document

... approximation method to solve some classes of FDE. Our method is based on converting a given problem into a system of FDE and then solving the resultant systems by a technique so-called ... See full document

... The variational iteration method, which is a modified general Lagrange multiplier method [34] has been shown to solve effectively, easily and accurately, a large class of nonlinear ... See full document

... the linear and nonlinear optimal control ...decomposition method [1], homotopy Analysis method HAM [2], variational iteration method VIM [3] and homotopy perturbation ... See full document

... part of one parameter symmetry groups of these equations tur ns out to be their var iational symmetries. According to Noether theorem [5, 6] such as invariance of the elementary action is a necessary and ... See full document