[PDF] Top 20 Jacobi Collocation Methods for Solving the Fractional Bagley-Torvik Equation

... Fractional differential equations have been found to be more realistic in modeling a variety of physical phenom- ena, engineering processes, biological systems and financial products, such as signal identification ... See full document

... Note that this analytical solution involves the evaluation of a convolution integral, containing a Green’s function expressed as an infinite sum of derivatives of Mittag–Leffler functions, and for general functions f ... See full document

... The fractional Bagley-Torvik equation was originally formulated in a description of a real material by the use of fractional ...the Bagley-Torvik equation has ... See full document

... different methods for the uncertain fractional differential equations to obtain the approximate ...fuzzy fractional Bagley-Torvik ...the fractional differential equation by ... See full document

... of fractional-order derivatives (sensu Caputo) of Fermat polynomials is ...for solving the fractional Bagley-Torvik equation with the aid of tau spectral ...the fractional ... See full document

... Torvik equation arises in modeling of the motion of a thin rigid plate immersed in a Newtonian fluid [6, ...This equation has been numericaly solved by using the hybridizable discontinuous Galerkin ... See full document

... differential equation to provide a numerical ...the Bagley-Torvik fractional-order differential equa- ...some methods, such as legendre operational matrix and pseudo-spectral ... See full document

... decades, fractional differential equations have been paid an increasing attention as they are widely used to describe various complex phenomena in many fields such as the fluid flow, signal processing, control theory, ... See full document

... spectral methods (see [–]) have often turned out to be efficient and highly accurate schemes when compared with the local ...spectral methods. Besides, spectral methods have exponential rates of ... See full document

... suitable collocation point for Equation ...unknowns. Solving this system gives the unknown coefficients using Conjugate Gradient ...linear/nonlinear fractional differential Equation ... See full document

... analytical methods of Equation (1) were considered by many authors, such as finite difference method [3], collocation method based on Müntz polynomials [4], Tau approximate [5], Adomian decomposition ... See full document

... spectral methods have gained increasing popularity for sev- eral decades, especially in solving differential equations and in the field of computational fluid dynamics (see, ...Spectral methods have ... See full document

... spectral methods have gained increasing popularity for several decades, especially in the field of computational fluid dynamics (see, ...therein). Collocation methods have become increasingly popular ... See full document

... differential equation, one of which fractional reaction– diffusion equations have been researched in recent years in many areas of science and en- ...A fractional reaction–subdiffusion equation ... See full document

... linear collocation are more costly to ...linear collocation, one also needs greater accuracy in calculating the ...the methods we have used ... See full document

... (17-21). Fractional integro-differential equation is considered as an important model for various physical wonders in engineering and scientific ...for solving integro-differential equation of ... See full document

... It is thus our belief that motion synthesis will, one day, allow us to explore and interact with real or imaginary humanoid and animal characters within virtual worlds; and that it will do so in a more engaging and ... See full document

... Fokker-Planck equation into a system of ordinary differential equations suggested in( [15], [16]) ...space fractional diffusion equations are solved numerically ...Chebyshev collocation method to ... See full document

... To show the effectiveness of the proposed methods, we solved the two-dimensional time fractional cable equations with the help of PC with Core i7 Duo 3.40 GHz, 4GB of RAM with Window 7 operating system ... See full document

... an equation is derived for effective (self-consistent) field in the medium for electromagnetic wave ...this equation can be considered as converegence of a collocation method for solving a ... See full document