[PDF] Top 20 Approximate Strongly Nonlinear Equation By Spline Method

... inherently nonlinear such as heat transfer and many of them have no analytical ...such nonlinear problems. These methods include the artificial parameter method by (He, 2000), the variation iteration ... See full document

... According to the extended form of the KBM [1-3] method, the solution of Eq. (15) is given by Eq. (8). In presence of secular terms, the solution will be non-uniform and break down. So, researchers must be needed ... See full document

... Solving nonlinear mixed Volterra-Fredholm integral equations with two dimensional block-pulse functions using direct ...Commun Nonlinear Sci Numer ...point method for solving nonlinear ... See full document

... fractional nonlinear Schr ¨odinger equation encountered in quantum mechanics based on the cubic B-spline finite element method have been calculated and ...fractional nonlinear Schr ... See full document

... KdV equation is a one-dimensional nonlinear partial differential equation of third order, which plays a big role in the discussion of nonlinear dispersive ...This equation was primarily ... See full document

... studying nonlinear problems was ...the nonlinear equation and approximate solutions of equation containing this parameter are expressed as series expansions in small ...analytical ... See full document

... a nonlinear differential equation in terms of one linear part and other ...The nonlinear part is considered as a small perturbation through a small parameter (the perturbation ...the nonlinear ... See full document

... new method for solving system of nonlinear fractional differential equations (Lorenz ...perturbation method (HPM) and Variational iteration method (VIM), the results of HPM and results of VIM ... See full document

... solve strongly nonlinear problems were edited by Liao ...an approximate analytical solution to the Gross- Pitaevskii equation while a nonlinear Schrödinger equation was utilized ... See full document

... many nonlinear ODEs of the second- as well as of the first-order, gov- erning various problems in Mechanics and Physics, do not accept analytical solutions in terms of known ...the nonlinear oscillator ... See full document

... element method, one of the quite powerful numerical approach which is revealing solutions of ...the method based on subdividing a large problem into smaller, more simpler sub-problems and seek an ... See full document

... Galerkin method is introduced in ...differential equation by means of the sinc collocation method is ...sinc-Galerkin method to the approximate solution of linear and nonlinear ... See full document

... the approximate analytical solution of nonlinear partial differential equation for infiltration phenomenon, to examine the height of the free surface of the water mound in unsaturated homogeneous ... See full document

... present approximate symmetry and optimal system of the perturbed nonlinear Klein-Gordon ...the equation are investigated by means of the tanh-coth ... See full document

... equations method was implemented to obtain that ...KdVB equation with variable ...KdVB equation was developed by using automated method based on an ansatz of a polynomial in terms of a tanh ... See full document

... numerical method. That equation (1) is the simplest mathematical formulation of the competition between nonlinear advection and viscous ...of equation (1) have been studied by ...Burger ... See full document

... balance method has been successfully used to study the nonlinear ...The method,which is proved to be a powerful mathematical tool to study of nonlinear oscillators,can be easily extended to ... See full document

... cubic spline interpolation to model the solution curve and applied the differential equation as well as the boundary conditions to solve for the unknown ...on spline functions generate solutions of ... See full document

... the nonlinear optimal control techniques to the design of launch vehicle ...HJB equation, which in this case cannot be solved explicity. A method based upon Successive Galerkin Approximation SGA is ... See full document

... An approximate solution of nonlinear deferential system with slowly varying coefficients has been ...improved method gives better results than existent KBM ... See full document