Pseudospectral operational matrix for numerical solution of single and multiterm time fractional diffusion equation

DOI10.3906/mat-1508-3zbMath1424.65186OpenAlexW2532055395MaRDI QIDQ4633226

Saeid Gholami, Esmail Babolian, Mohammad Javidi

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1508-3

zbMATH Keywords

Gauss-Lobatto pointsmultiterm fractional diffusion equationpseudospectral integration matrixnormalized Grunwald approximation

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items

Fractional pseudospectral integration/differentiation matrix and fractional differential equations

Uses Software

• ma2dfc

Cites Work

• Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
• Solving the time-fractional diffusion equation via sinc-Haar collocation method
• A new difference scheme for the time fractional diffusion equation
• Stable numerical solution to a Cauchy problem for a time fractional diffusion equation
• Numerical computation for backward time-fractional diffusion equation
• High-order finite element methods for time-fractional partial differential equations
• Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
• The Galerkin finite element method for a multi-term time-fractional diffusion equation
• Finite difference approximations for the fractional Fokker-Planck equation
• Numerical treatment of fractional heat equations
• Fractional diffusion equations by the Kansa method
• Implicit finite difference approximation for time fractional diffusion equations
• Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Numerical solution of the space fractional Fokker-Planck equation.
• Numerical inversion of 2-D Laplace transforms applied to fractional diffusion equations
• Short note on the emergence of fractional kinetics
• Chaos, fractional kinetics, and anomalous transport
• Chebyshev expansion method for solving second and fourth-order elliptic equations.
• Finite difference approximations for fractional advection-dispersion flow equations
• Long memory processes and fractional integration in econometrics
• Numerical methods for solving the multi-term time-fractional wave-diffusion equation
• Finite difference/spectral approximations for the time-fractional diffusion equation
• Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
• A Space-Time Spectral Method for the Time Fractional Diffusion Equation
• Pseudospectral integration matrix and boundary value problems
• Chebyshev Solution of Differential, Integral and Integro-Differential Equations
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item