[PDF] Top 20 Operational Matrix Method for the Variable Order Time Fractional Diffusion Equation Using Legendre Polynomials Approximation
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Operational Matrix Method for the Variable Order Time Fractional Diffusion Equation Using Legendre Polynomials Approximation
... numerical method based on Legendre polynomials is proposed for solving the variable order time fractional diffusion ...Coimbra variable order ... See full document
5
A novel approximation method for the solution of Convection Diffusion Equation using Bernstein polynomials
... spectral method for solving the variational ...the fractional nonlinear Fredholm integro-differential ...integral equation. Li [20] presented the Chebyshev wavelet method for fractional ... See full document
6
Operational matrix approach for solving the variable order nonlinear Galilei invariant advection–diffusion equation
... with fractional derivatives were recognized as a useful tool for description of anomalous diffusion ...on fractional kinetics [1–4]. The kinetic equations with time-fractional derivative are ... See full document
11
Finite integration method with RBFs for solving time-fractional convection-diffusion equation with variable coefficients
... solving time-fractional convection- diffusion equations with variable ...by using initial conditions, while in the previous studies of FIM, interpolation methods were ...integration ... See full document
15
On a novel modification of the Legendre collocation method for solving fractional diffusion equation
... other Legendre polynomials introduced next. In order to use such polynomials on the interval x ∈ [0, 1], we define the so called shifted Legendre polynomials by introducing the ... See full document
17
A Spatial Sixth Order Finite Difference Scheme for Time Fractional Sub-diffusion Equation with Variable Coefficient
... tional diffusion equations, we notice that most of the current research for fractional diffusion equations is in constant coef- ficient case, and less attention has been paid to the research for ... See full document
7
Analysis of two Legendre spectral approximations for the variable coefficient fractional diffusion wave equation
... The fractional diffusion-wave equation is a mathematical model of some important physical phenomena ...the equation with constant coefficients in the whole space and half-space by Green ...a ... See full document
23
Numerical Method For Approximate Solutions of Fractional Differential Equations with Time Delay
... of Legendre operational matrix to present the numerical solutions of FDDEs in ...wavelet method to compute an approximation to the solution of the FDDEs has been employed in ...of ... See full document
10
Optimal error estimate of the Legendre spectral approximation for space fractional reaction–advection–diffusion equation
... The fractional derivative is essentially a global differential operator, whereas FDM and FEM are inherently local methods that lack the capability to deal with the fractional deriva- tive ...global ... See full document
22
Numerical solution of fractional diffusion wave equation and fractional Klein–Gordon equation via two dimensional Genocchi polynomials with a Ritz–Galerkin method
... tau method based on the Jacobi operational matrix to solve the ...applied Legendre wavelets via the operational matrix of integration for the solution of the FDWE while [5] also ... See full document
12
Solving a Nonlinear Multi Order Fractional Differential Equation Using Legendre Pseudo Spectral Method
... simple approximation schemes with- out loss of any accuracy to even more complicated pro- ...that Legendre polynomials are well known family of orthogonal polynomials on the interval [−1, ... See full document
6
The operational matrix of fractional derivative of the fractional-order Chebyshev functions and its applications
... construct operational matrix of fractional derivative for some types of classical orthogonal ...the fractional type of Chebysheve polynomials of the second kind and used it to numerical ... See full document
21
Numerical Algorithm to Solve Fractional Integro-Differential Equations Based on Legendre Wavelets Method
... the Legendre wavelets have been extended to fractional order linear and nonlinear integro-differential equations ...construct fractional orders generalized Legendre wavelets ... See full document
6
Normalized Bernstein polynomials in solving space time fractional diffusion equation
... diffusion equation with initial boundary ...unbounded time domain, we use the rational normalized Bernstein functions as basis functions to approximate the exact ...methods using normalized Bernstein ... See full document
25
Finite difference scheme for multi term variable order fractional diffusion equation
... exhibit fractional-order behavior that may vary with time and/or ...of variable-order calculus. Presently, variable-order calculus has been applied in many fields such as ... See full document
13
Collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations
... the operational matrix via Genoc- chi polynomials for solving integer-order delay differential equations [12] and fractional optimal control problems [13], and the numerical solutions ... See full document
11
Online Full Text
... numerical method for solving a class of fractional convection diffusion equations with time-space variable ...implementing Legendre polynomials and also the associated ... See full document
5
The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation
... decades fractional order partial differential equations began to play a key role especially in the study and modeling of anomalies and complex systems [, – ...of fractional diffu- sion models have ... See full document
14
New Modified Method of the Chebyshev Collocation Method for Solving Fractional Diffusion Equation
... collocation method is applied to the solution of space fractional differential ...The fractional derivative is considered in the Caputo ...collocation method are ... See full document
20
Existence results for a generalization of the time-fractional diffusion equation with variable coefficients
... a contractible mapping to show the existence of solution of the semilinear problem in a suitable fractional derivative Sobolev space. The main idea is motivated in the proof of [32, 33]. The existence of solutions ... See full document
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