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Gegenbauer wavelet operational matrix method for solving variable-order non-linear reaction-diffusion and Galilei invariant advection-diffusion equations - MaRDI portal

Gegenbauer wavelet operational matrix method for solving variable-order non-linear reaction-diffusion and Galilei invariant advection-diffusion equations (Q2326354)

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Language	Label	Description	Also known as
English	Gegenbauer wavelet operational matrix method for solving variable-order non-linear reaction-diffusion and Galilei invariant advection-diffusion equations	scientific article

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scholarly article

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Gegenbauer wavelet operational matrix method for solving variable-order non-linear reaction-diffusion and Galilei invariant advection-diffusion equations (English)

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zbMATH Open document ID

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10.1007/s40314-019-0952-z

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Prashant Pandey

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Computational and Applied Mathematics

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publication date

7 October 2019

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

fractional PDE

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variable-order diffusion equation

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operational matrix

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Gegenbauer wavelet

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collocation method

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s40314-019-0952-z

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SPACE-TIME SPECTRAL COLLOCATION ALGORITHM FOR THE VARIABLE-ORDER GALILEI INVARIANT ADVECTION DIFFUSION EQUATIONS WITH A NONLINEAR SOURCE TERM

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Diffusion on multifractals

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Fractional diffusion in inhomogeneous media

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Mechanics with variable-order differential operators

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Optimal variable-order fractional PID controllers for dynamical systems

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A method for the numerical solution of the integro-differential equations

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Solution of the nonlinear fractional diffusion equation with absorbent term and external force

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Mathematics of Approximation

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A predictor-corrector approach for the numerical solution of fractional differential equations

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Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices

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On the history of multivariate polynomial interpolation

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On an accurate discretization of a variable-order fractional reaction-diffusion equation

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Homotopy analysis method for fractional IVPs

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Application of Legendre wavelets for solving fractional differential equations

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A numerical approach for solving a class of variable-order fractional functional integral equations

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Numerical solution of fractional differential equations using the generalized block pulse operational matrix

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Iterative reproducing kernel method for nonlinear variable-order space fractional diffusion equations

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Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations

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Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation

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Error Analysis of a High Order Method for Time-Fractional Diffusion Equations

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Recent history of fractional calculus

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Analytical solution of fractional variable order differential equations

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Introduction to fractional differential equations

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A computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernels

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Extended algorithms for approximating variable order fractional derivatives with applications

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SM-Algorithms for Approximating the Variable-Order Fractional Derivative of High Order

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An integro quadratic spline approach for a class of variable-order fractional initial value problems

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Numerical solution of mixed-type fractional functional differential equations using modified Lucas polynomials

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On Legendre polynomial approximation with the VIM or HAM for numerical treatment of nonlinear fractional differential equations

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Variable order fractional systems

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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GEGENBAUER WAVELETS OPERATIONAL MATRIX METHOD FOR FRACTIONAL DIFFERENTIAL EQUATIONS

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Integration and differentiation to a variable fractional order

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Numerical techniques for the variable-order time fractional diffusion equation

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The variable viscoelasticity oscillator

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An Eigenvector Expansion Method for the Solution of Motion Containing Fractional Derivatives

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Caputo derivatives of fractional variable order: numerical approximations

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Variable Order Fractional Controllers

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Multiplicity results for variable-order fractional Laplacian equations with variable growth

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Solving a nonlinear fractional differential equation using Chebyshev wavelets

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Fractional spectral collocation methods for linear and nonlinear variable order FPDEs

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