[PDF] Top 20 Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation

... Fractional diffusion equations are used to model prob- lems in Physics [1-3], Finance [4-7], and Hydrology ...[8-12]. Fractional space derivatives may be used to for- mulate anomalous ... See full document

... Spatially fractional order diffusion equations are generalizations of classical diffusion equations which are increasingly used in modeling practical super diffusive problems in fluid flow, finance ... See full document

... and diffusion process. A broad class of analytical solutions methods, such as inverse scattering method, Ba¨cklund transformation method, Hirota’s bilinear scheme [1-6], Hereman’s ... See full document

... In recent years considerable interest in system of ordinary differential equations has been stimulated due to their numerous applications in the fields of physics and engineering. A huge number of research and ... See full document

... etc. Fractional diffusion equations have been topic of interest, studied by many researchers for developing fractional order finite difference ...time- space fractional implicit finite ... See full document

... The Variational iteration method [16, 17, 20, 21] has been extensively worked out over a number of years by numerous ...authors. Variational iteration method has been favorably ... See full document

... have analytical solution which can be handled by semi-analytical or numerical ...exact solution of nonlinear differential equations, semi-analytical methods such as the ... See full document

... Gordon equation. The Klein-Gordon equation plays an important role in mathematical physics [1] [2] [3] and attracted more attention from scientists and engineering in different matter like investigation of ... See full document

... of fractional order and with un- certainty, to consider a new type of dynamical system: fuzzy differential equations of frac- tional order ...the application of the varia- tional iteration ... See full document

... explicit fractional order finite difference scheme for variable- order space fractional diffusion equation ...an application of the scheme, we solve some test problems and their ... See full document

... non-differentiable space-time continuum possesses and has fractal ...time space was suggested in ...local fractional operators was presented in [–] and the references ...A solution of the ... See full document

... for space fractional diffusion equations (SFDEs) based on pseudo-spectral ...pseudo-spectral method, the SFDE is reduced to a system of ordi- nary differential equations for time variable ... See full document

... There are various field of science and engineering used the applications in fractional calculus. Electric transmission lines, ultrasonic wave propagation in human cancellous bone, modelling of speech signals, ... See full document

... analytic solution of the partial differential ...and variational iteration methods [1220] for the homogeneous gas dynamics equations to an approximation ...The solution of this method ... See full document

... the variational iteration method coupled with He’s polynomials (VIMHP) [1, 2, 13, 14, 15] for finding the solution of gas dynamic equation ...successive application of the ... See full document

... Where m is called the accelerating parameters, and for m = 0 we define H(u, p, 0) = H(u, p), which is the standard HPM. The convex homotopy 2.40 continuously trace an implicity defined curve from a starting point H (u(x, ... See full document

... Where 𝑔𝑔(𝑥𝑥) and 𝑦𝑦(𝑥𝑥) are the limits of integration, λ is a constant parameter, and 𝐾𝐾(𝑥𝑥, 𝑑𝑑) is a function of two variable 𝑥𝑥 and 𝑑𝑑 called the kernel or the nucleolus of the integral equation. The function ... See full document

... of Variational Iteration Method (RVIM) for solving the systems of Volterra integro-differential ...our method knowing the variational theory is not essential while it was needed in the ... 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 ... See full document

... modified fractional diffusion equation has been proposed ...From diffusion to anomalous diffusion: a century after Einstein’s brownian motion, Chaos 15 (2005) 026103; ...time ... See full document