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[PDF] Top 20 A fractional order Legendre collocation method for solving the Bagley Torvik equations

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A fractional order Legendre collocation method for solving the Bagley Torvik equations

A fractional order Legendre collocation method for solving the Bagley Torvik equations

... non-integer order, is very useful for the description of various physical phenomena, such as damping laws, diffusion process, ...etc. Fractional derivatives provide an excellent instrument for the de- ... See full document

14

Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions

Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions

... of fractional calculus are ...the fractional-order Legendre ...the fractional-order Legendre wavelets operational matrix of fractional ...numerical method ... See full document

24

Local PolynomialS moother for Solving Bagley-Torvik ractional DifferentialE quations

Local PolynomialS moother for Solving Bagley-Torvik ractional DifferentialE quations

... The fractional differential equations appear more and more frequently in different re- search areas and engineering ...ential equations of fractional ...containing fractional derivative ... See full document

14

A high order numerical scheme using orthogonal spline collocation for solving the two dimensional fractional reaction–subdiffusion equation

A high order numerical scheme using orthogonal spline collocation for solving the two dimensional fractional reaction–subdiffusion equation

... numerical method for the two-dimensional non-linear fractional reaction– subdiffusion equation, which is of second-order temporal accuracy and fourth-order spatial ...two-dimensional ... See full document

23

Modified Legendre Collocation Block Method for Solving Initial Value Problems of First Order Ordinary Differential Equations

Modified Legendre Collocation Block Method for Solving Initial Value Problems of First Order Ordinary Differential Equations

... block method is one of the ...multi-step method to a class of multi-block methods where step values are obtained all together in a single ...multi-step method to obtain finite differ- ence ... See full document

15

Legendre-collocation spectral solver for variable-order fractional functional differential equations

Legendre-collocation spectral solver for variable-order fractional functional differential equations

... shifted Legendre polynomials and their relevant properties required henceforward are presented, and in Sec- tion 3, the way of constructing the collocation technique for VO-FFDEs is described by using the ... See full document

12

A fourth order non polynomial quintic spline collocation technique for solving time fractional superdiffusion equations

A fourth order non polynomial quintic spline collocation technique for solving time fractional superdiffusion equations

... Fourth order time fractional partial differential equations (PDEs) arise in mathemati- cal modeling of several plate-like objects ...ing fractional order PDEs are based on Laplace and ... See full document

21

Comparison of Adomian Decomposition and Taylor Expansion Methods for the Solutions of Fractional Integro Differential Equations

Comparison of Adomian Decomposition and Taylor Expansion Methods for the Solutions of Fractional Integro Differential Equations

... Caputo fractional derivative and α is a parameter describing the order of the fractional ...of equations arise in the mathematical modelling of various physical phenomena, such as heat ... See full document

6

Collocation method based on Genocchi operational matrix for
solving generalized fractional pantograph equations

Collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations

... for solving integer-order delay differential equations [12] and fractional optimal control problems [13], and the numerical solutions obtained are comparable or even more accurate compared to ... See full document

11

Approximate Technique for Solving Class of Fractional Variational Problems

Approximate Technique for Solving Class of Fractional Variational Problems

... the Legendre spectral collocation method to introduce numerical solutions of a certain class of fractional variational problems ...the Legendre polynomials and Rayleigh-Ritz ... See full document

10

Numerical solution of nonlinear fractional integro-differential equation by Collocation method

Numerical solution of nonlinear fractional integro-differential equation by Collocation method

... the Collocation Method with the help of shifted Chebyshev polynomials and shifted Legendre polynomials for the numerical solution of nonlinear fractional integro-differential equations ... See full document

7

Shifted Jacobi collocation method for solving multi dimensional fractional Stokes’ first problem for a heated generalized second grade fluid

Shifted Jacobi collocation method for solving multi dimensional fractional Stokes’ first problem for a heated generalized second grade fluid

... in order to minimize the difference between the exact and approximate solutions as well as ...spectral collocation method is a spe- cific type of spectral methods, which is more applicable and widely ... See full document

17

Solving a Nonlinear Multi Order Fractional Differential Equation Using Legendre Pseudo Spectral Method

Solving a Nonlinear Multi Order Fractional Differential Equation Using Legendre Pseudo Spectral Method

... differential equations of in- teger order has been a hot topic in numerical and compu- tational mathematics for a long ...of fractional differential equations has been recently studied by ... See full document

6

Chelyshkov Tau Approach for Solving Bagley Torvik Equation

Chelyshkov Tau Approach for Solving Bagley Torvik Equation

... difference method [3], collocation method based on Müntz polynomials [4], Tau approximate [5], Adomian decomposition method [6] [7], variational iteration method [8], the generalized ... See full document

13

Sinc operational matrix method for solving the Bagley-Torvik equation

Sinc operational matrix method for solving the Bagley-Torvik equation

... the Bagley-Torvik ...for solving a wide range of problems arising from scientific and en- gineering applications including Hallen’s integral equation [25], third-order boundary value problems ... See full document

11

A New Numerical Approach for Solving Fractional Bagley Torvik Equation

A New Numerical Approach for Solving Fractional Bagley Torvik Equation

... Bernoulli collocation method for the numerical solutions of Bagley-Torvik ...This method transform Bagley-Torvik equation into a system of linear algebraic ...by ... See full document

5

Hermite Solution of Bagley Torvik Equation of Fractional Order

Hermite Solution of Bagley Torvik Equation of Fractional Order

... matics. Fractional differential equations are operational and most effective tool to describe different physical phenomena such as rheology, diffusion processes, damping laws, and so ...of fractional ... See full document

16

Approximate solution of the fuzzy fractional Bagley-Torvik equation by the RBF collocation method

Approximate solution of the fuzzy fractional Bagley-Torvik equation by the RBF collocation method

... approximation method is a generalization of multiquadric (MQ) method developed by a geologist, Hardy in 1968 and was successfully applied in in- terpolation of cartographic scattered data ...Hardy’s ... See full document

29

A new operational matrix of Caputo fractional derivatives of Fermat polynomials: an application for solving the Bagley Torvik equation

A new operational matrix of Caputo fractional derivatives of Fermat polynomials: an application for solving the Bagley Torvik equation

... spectral method is applied. The collocation method requires en- forcing the differential equation to be satisfied exactly at some nodes (collocation ...tau method is a synonym for ... See full document

17

Jacobi Collocation Methods for Solving the Fractional Bagley-Torvik Equation

Jacobi Collocation Methods for Solving the Fractional Bagley-Torvik Equation

... nonlinear fractional differential equations have been thoroughly investigated in [20], [21] and ...original Bagley-Torvik equation in the form of the integral ... See full document

7

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