A new reliable algorithm based on the sinc function for the time fractional diffusion equation

DOI10.1007/s11075-015-0073-8zbMath1361.65081OpenAlexW2308189476MaRDI QIDQ306356

Elham Asadollahifard, Esmail Hesameddini

Publication date: 31 August 2016

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-015-0073-8

zbMATH Keywords

algorithmcollocation methodsemidiscretizationfinite differencefractional diffusion equationRiemann-Liouville derivativesinc function

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Fractional partial differential equations (35R11)

Related Items (4)

Sinc-Galerkin method for solving the time fractional convection-diffusion equation with variable coefficients ⋮ A new spectral Galerkin method for solving the two dimensional hyperbolic telegraph equation ⋮ A numerical approach for a class of time-fractional reaction-diffusion equation through exponential B-spline method ⋮ A sinc-Gauss-Jacobi collocation method for solving Volterra's population growth model with fractional order

Cites Work

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• Sinc-Galerkin method for solving biharmonic problems
• Solving the time-fractional diffusion equation via sinc-Haar collocation method
• Sinc-collocation method for solving the Blasius equation
• The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients
• Finite element approximation for a modified anomalous subdiffusion equation
• A finite difference method for fractional partial differential equation
• Sinc-Galerkin solution for nonlinear two-point boundary value problems with applications to chemical reactor theory
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind
• Fractional diffusion equations by the Kansa method
• Double exponential formulas for numerical indefinite integration.
• Numerical solution of integral equations by means of the sinc collocation method based on the double exponential transformation
• Time fractional diffusion: A discrete random walk approach
• Proof of Stenger's conjecture on matrix \(I^{(-1)}\) of sinc methods
• Numerical method of Rayleigh-Stokes problem for heated generalized second grade fluid with fractional derivative
• Finite difference and sinc-collocation approximations to a class of fractional diffusion-wave equations
• The symmetric sinc-Galerkin method yields ADI model problems
• Haar wavelet method for solving fractional partial differential equations numerically
• AN ADVANCED MESHLESS METHOD FOR TIME FRACTIONAL DIFFUSION EQUATION
• Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
• An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation
• Polynomial spectral collocation method for space fractional advection–diffusion equation
• Fractional diffusion: probability distributions and random walk models

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