An extension of the singular boundary method for solving two dimensional time fractional diffusion equations

DOI10.1016/j.enganabound.2017.07.009zbMath1403.65063OpenAlexW2743820739MaRDI QIDQ1655992

Farzane Yousefi, Azim Rivaz

Publication date: 10 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2017.07.009

zbMATH Keywords

dual reciprocity methodmeshless methodfractional diffusion equationsingular boundary method

Mathematics Subject Classification ID

Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (3)

Numerical analysis WSGD scheme for one- and two-dimensional distributed order fractional reaction-diffusion equation with collocation method via fractional B-spline ⋮ Singular boundary method: a review and computer implementation aspects ⋮ Coupling of the improved singular boundary method and dual reciprocity method for multi-term time-fractional mixed diffusion-wave equations

Cites Work

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• An extended method of time-dependent fundamental solutions for inhomogeneous heat conduction
• Singular boundary method for modified Helmholtz equations
• Numerical solution for a class of nonlinear variable order fractional differential equations with Legendre wavelets
• Singular boundary method for heat conduction problems with certain spatially varying conductivity
• High-order finite element methods for time-fractional partial differential equations
• A localized approach for the method of approximate particular solutions
• The BEM for numerical solution of partial fractional differential equations
• Local radial point interpolation (MLRPI) method for solving time fractional diffusion-wave equation with damping
• Compact finite difference method for the fractional diffusion equation
• Fractional diffusion equations by the Kansa method
• Evaluation of thin plate spline based particular solutions for Helmholtz-type operators for the DRM
• The method of fundamental solutions with dual reciprocity for diffusion and diffusion-convection using subdomains
• Method of approximate particular solutions for constant- and variable-order fractional diffusion models
• Singular boundary method using time-dependent fundamental solution for transient diffusion problems
• Particular solutions of Helmholtz-type operators using higher order polyharmonic splines
• Boundary particle method for Laplace transformed time fractional diffusion equations
• Finite difference/spectral approximations for the time-fractional diffusion equation
• Numerical solution of fractional telegraph equation by using radial basis functions
• A Kansa-type MFS scheme for two-dimensional time fractional diffusion equations
• A Fourier method for the fractional diffusion equation describing sub-diffusion
• Time-dependent fundamental solutions for homogeneous diffusion problems
• Kernel-based approximation for Cauchy problem of the time-fractional diffusion equation
• The method of approximate particular solutions for solving certain partial differential equations
• Mechanics with variable-order differential operators
• Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method
• The method of functional equations for the approximate solution of certain boundary value problems
• Fractional diffusion in inhomogeneous media

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