[PDF] Top 20 Normalized Bernstein polynomials in solving space time fractional diffusion equation
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Normalized Bernstein polynomials in solving space time fractional diffusion equation
... Bernstein polynomials play an important role in many branches of mathematics, such as probability, approximation theory and computer-aided geometric design ...these polynomials. For example, the rate ... See full document
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Operational Matrix Method for the Variable Order Time Fractional Diffusion Equation Using Legendre Polynomials Approximation
... Legendre polynomials play a prominent role in various areas of ...These polynomials have frequently used in both the solution of differential equations and approximation theory ...on fractional order ... See full document
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A numerical algorithm based on modified extended B spline functions for solving time fractional diffusion wave equation involving reaction and damping terms
... used Bernstein polynomials to approximate truncated series for nonlinear fractional-order ...for time- fractional ...for solving a time-fractional DWE; see [14, ... See full document
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A novel approximation method for the solution of Convection Diffusion Equation using Bernstein polynomials
... for fractional order differential ...for solving a few ...for solving a few partial differential ...for solving time-varying delay ...Chebyshev polynomials for solving ... See full document
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... for space fractional order differential equations with inhomogeneous boundary ...for fractional diffusion-wave ...for solving space fractional diffusion equations ... See full document
12
The Line Method Combined with Spectral Chebyshev for Space-Time Fractional Diffusion Equation
... the time fractional part, the diffusion equation will be system of space fractional ordinary differential equations formula (17), the second step is using the shifted Chebyshev ... See full document
7
ADI Finite Element Method for 2D Nonlinear Time Fractional Reaction Subdiffusion Equation
... multidimensional space frac- tional differential ...linear space fractional diffusion equations, which are first order accuracy in both time and space and have the advantage of ... See full document
21
Pseudo Spectral Method for Space Fractional Diffusion Equation
... This paper presents a numerical scheme for space fractional diffusion equations (SFDEs) based on pseudo-spectral method. In this approach, using the Guass-Lobatto nodes, the unknown function is ... See full document
8
Difference numerical solutions for time-space fractional advection diffusion equation
... A time-space fractional advection diffusion equation is studied in this paper. Based on the difference method, an explicit difference scheme and an implicit difference scheme are obtained. Then we ... See full document
11
Finite integration method with RBFs for solving time-fractional convection-diffusion equation with variable coefficients
... for solving time-fractional convection- diffusion equations with variable ...the fractional derivative is obtained by product Simpson’s ...Legendre polynomials are used along the x ... See full document
15
Using a LDG method for solving an inverse source problem of the time-fractional diffusion equation
... main equation may not be given, we have encountered an inverse ...for solving them we need to some additional measured data, see ...find space-dependent source term [27, 32] or time-dependent ... See full document
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... for solving a class of fractional convection diffusion equations with time-space variable ...Legendre polynomials and also the associated operational matrix, the considered ... See full document
5
Research on generalized space time fractional convection diffusion equation
... multinomial fractional ordinary differential ...the equation solution. Using fractional derivative model, it will lead to a series of fractional differential equations in most ...for ... See full document
5
An approximate method for solving fractional TBVP with state delay by Bernstein polynomials
... investigating Fractional Hamiltonian Equations for a class of fractional optimal control problems with time ...Agrawal’s fractional variational method in (Nonlinear ...using Bernstein ... See full document
16
The Wave Equation and General Plane Wave Solutions in Fractional Space
... Axiomatic basis for the concept of fractional space and formulation of Schr¨odinger wave mechanics in D-dimensional fractional space is provided in [1]. Also it has been pointed out that the ... See full document
10
Exact traveling wave solutions of the space–time fractional complex Ginzburg–Landau equation and the space time fractional Phi 4 equation using reliable methods
... conformable space-time fractional order partial differential ...the fractional (2 + 1)-dimensional cubic–quintic Ginzburg–Landau equation which will be solved using the modified ... See full document
23
On a novel modification of the Legendre collocation method for solving fractional diffusion equation
... for solving fractional differential equations have been given such as variational iteration method [7], homotopy perturbation method [23], adomian decomposition method [8], homotopy analysis method [6], and ... See full document
17
Analytical study for time and time space fractional Burgers’ equation
... the time and space-time fractional Burgers’ equation for various initial ...the fractional Burgers’ equation to show the behavior of VIM solutions as the fractional ... See full document
15
On Approximate Solutions for Time-Fractional Diffusion Equation
... good alternative to solve this type of equations and many other numerical problems. Numerical results strongly suggest that the efficiency of the proposed preconditioning methods. The convergence analysis of the present ... See full document
6
Landweber iterative method for identifying a space-dependent source for the time-fractional diffusion equation
... the equation of problem ...the time-fractional diffusion ...the time- fractional diffusion equation, and in [], Wang simplified the Tikhonov regularization method to solve it, but ... See full document
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