The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation
DOI10.1186/1687-1847-2014-231zbMath1343.65126OpenAlexW2141861961WikidataQ59321242 ScholiaQ59321242MaRDI QIDQ738579
Eid H. Doha, Dumitru Baleanu, Ali H. Bhrawy, Samer S. Ezz-Eldien
Publication date: 5 September 2016
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1847-2014-231
tau methodCaputo derivativefractional diffusion equationsoperational matrixshifted Jacobi polynomialsmulti-term fractional differential equations
Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Related Items (18)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations
- Finite difference approximations for the fractional advection-diffusion equation
- Convergence of the variational iteration method for solving multi-order fractional differential equations
- Numerical approximations for fractional diffusion equations via splines
- Application of Legendre wavelets for solving fractional differential equations
- A tau approach for solution of the space fractional diffusion equation
- Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations
- A quadrature tau method for fractional differential equations with variable coefficients
- A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
- A new Jacobi operational matrix: an application for solving fractional differential equations
- Homotopy analysis method for fractional IVPs
- On the numerical solutions for the fractional diffusion equation
- Application of homotopy-perturbation method to fractional IVPs
- Application of variational iteration method to fractional hyperbolic partial differential equations
- A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations
- A note on the finite element method for the space-fractional advection diffusion equation
- A new operational matrix for solving fractional-order differential equations
- Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
- Finite difference methods for fractional dispersion equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- A new modified generalized Laguerre operational matrix of fractional integration for solving fractional differential equations on the half line
- The operational matrix of fractional integration for shifted Chebyshev polynomials
- A spectral Legendre-Gauss-Lobatto collocation method for a space-fractional advection diffusion equations with variable coefficients
- On shifted Jacobi spectral approximations for solving fractional differential equations
- Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
- A second-order accurate numerical approximation for the fractional diffusion equation
- Weighted average finite difference methods for fractional diffusion equations
- Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
- Passivity analysis for uncertain BAM neural networks with time delays and reaction–diffusions
- A method for obtaining the operational matrix of fractional Jacobi functions and applications
- Fractional diffusion in inhomogeneous media
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation