[PDF] Top 20 A finite difference scheme based on cubic trigonometric B splines for a time fractional diffusion wave equation

... of fractional calculus [–] in its modern form has a history of at least three decades and has developed rapidly due to its wide range of applications in fluid mechanics, plasma physics, biology, chemistry, ... See full document

... a finite difference scheme for a class of time fractional diffusion equation with variable coefficient, where the fractional derivative is defined by the Caputo ... See full document

... by fractional calculus [15]. They solved the fractional Euler–Lagrange equation numerically by using a discretization technique based on a Grünwald–Letnikov approx- imation for the ... See full document

... multi-term time fractional advection diffusion equations was given in ...diffusion equation were discussed in ...difference scheme based on extended cubic B-splines ... See full document

... of B-splines in the numerical solution of differential equa- tions, our focus is to use an appropriate B-splines for the numerical solution of ...of splines for the fractional ... See full document

... differential equation satisfied by a particular homogenous function can lead to the nonlinear Klein-gordon ...Klein-Gordon equation was investigated in different aspects in various numerical studies ... See full document

... implicit finite difference methods (Liu, et ...etc. Fractional diffusion equations have been topic of interest, studied by many researchers for developing fractional order finite ... 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 derived by ... See full document

... the fractional models can be classified into three principal kinds: space-fractional differential equation, time-fractional differential equation, and time- space ... See full document

... interpolation scheme as the source of this ...procedure based on the finite difference method to solve PDEs on irregular ...of splines to develop appropriate interpolation schemes, ... See full document

... difference scheme using extended cubic B-spline is formulated for the numerical solution of time fractional advection–diffusion ...difference scheme, with Caputo’s formula, is ... See full document

... 1D wave equation by using finite difference scheme and to investigate the behavior of 1D wave through the variation of the system’s ...1-dimensional wave equation ... See full document

... finite-difference scheme, the Crank-Nicolson scheme, the semi-implicit finite-difference scheme, and the Crank-Nicolson semi-implicit scheme for the coupled Burgers ...finite-difference ... See full document

... collocation scheme based on modified cubic B-spline basis functions in space with the SSPRK54 scheme in time for solving the Burgers ...proposed scheme is efficient and ... See full document

... non fractional counterpart ...solve fractional partial differential equations, there is still a long way to go in this ...a fractional derivative of order α > 0 ...main difference between ... See full document

... anomalous fractional sub-diffusion equation by applying the discretized form of Riemann-Liouville integral operator and the backward difference formula to remove the partial derivative with respect to ... See full document

... of fractional order of type like one-dimensional time-fractional diffusion-wave equation were successfully used for modelling relevant physical processes (see, for example, Caputo [2], ... See full document

... cons. Finite difference method (FDM) is the most popular numerical technique which is used to approximate solutions to differential equations using finite difference equations ...of ... See full document

... to discover new methods faster than existing methods, and all this to facilitate the resolution of this type of equations, especially non-linear ones. These efforts have strengthened this area of research through many ... See full document

... this equation is obtained by using the Fourier sine integral transform and integral Laplace ...Caputo fractional derivative is considered in Stokes` first problem as time derivative, where the order ... See full document