[PDF] Top 20 Modified homotopy perturbation method for solving non-linear oscillator's ‎equations

... with non- linear phenomena and many nonlinear problems. Since solving nonlinear problems plays a crucial role in various fields of engineering and science, Scientists are interested in obtaining ... See full document

... The non-linear differential equations (1-3) are solved by numerical ...of solving the boundary value problems for differential equation is used to solve this ...with homotopy ... See full document

... in solving nonlinear differential equations may increase the ...differential equations by using diverse ...and homotopy perturbation ...for solving both linear and ... See full document

... for solving linear and non-linear problems have been dominated by the perturbation me- thods, which have found wide applications in engineer- ...other non-linear ... See full document

... ’ s much attention paid to ordinary differential ...this method like SIR, SIRS, etc. Homotopy perturbation method is one of the main tools to find the approximate solution or ... See full document

... decomposition method, the Homotopy perturbation method, and lyapunov’s method are three powerful methods which consider an approximate solution of linear and ... See full document

... [10,13,16]. Homotopy is an important part of differential topology. The homotopy perturbation method is, in fact, a coupling of the traditional perturbation method and ... See full document

... The linear and nonlinear Schrodinger equation is an example of a universal linear and nonlinear model that describes many physical ...differential equations by using various ...decomposition ... See full document

... a homotopy perturbation method (HPM) to solve non-linear system of third-order boundary value ...This method is a powerful devise for solving a wide variety of problems, ... See full document

... the modified HPM suggested by Momani and al. [23] for solving the time-fractional Fisher’s equation and we use the classical HPM to derive numerical solutions of the space-fractional Fisher’s ...HPM ... See full document

... for linear and nonlinear equations without any need for the so-called He's ...He's Homotopy perturbation method because the details of the method are found in [8-19], and in many ... See full document

... nonlinear equations, the author discusses the differential equation of the first order, following this by chapters on the Riccati equation (as a bridge between linear and nonlinear equations) and ... See full document

... the modified HPM to various problems and demonstrated the efficiency of the HPM for handling non-linear structures and solving various physics and engineering problems ...This method is ... See full document

... differential equations do not have analytical solutions in genuine events in nature and ...the non-linear feature and also variable coefficients of afore-mentioned equations, the analytical ... 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

... transform method is applied to solve a nonlinear wave-like equations with variable coe¢ ...transformation method. The method gives the results show that the proposed method is very e¢ ... See full document

... successful homotopy analysis solution is obtained, the difficulty to get better approximation is that with the growth of order, the number of terms in higher-order ap- proximation will grow rapidly, resulting in ... See full document

... balance method,a variational principle for the nonlinear oscillation is established,then a Hamiltonian is constructed,from which the angular frequency can be readily obtained by collocation ... See full document

... Where f D R : ⊂ → R is a scalar function on an open interval D and f (x) may be algebraic, transcendental or combined of both. The most widely used algorithm for solving (1.1) by the use of value of the function ... See full document

... differential equations, which these equations are N- Order Linear differential equations and solutions relatively complex, therefore researchers have forced to use numerical methods, which are ... See full document