A meshless method for solving three-dimensional time fractional diffusion equation with variable-order derivatives
DOI10.1016/j.apm.2019.09.055zbMath1481.65130OpenAlexW2978420389MaRDI QIDQ1988876
Publication date: 24 April 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2019.09.055
meshless methodstime fractional diffusion equationvariable-order derivativesgeneralized finite difference approachthree-dimensional arbitrary domains
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11)
Related Items (45)
Cites Work
- A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation
- Fast alternating-direction finite difference methods for three-dimensional space-fractional diffusion equations
- Second-order approximations for variable order fractional derivatives: algorithms and applications
- Numerical techniques for the variable-order time fractional diffusion equation
- A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions
- Solving second order non-linear elliptic partial differential equations using generalized finite difference method
- Numerical approaches to fractional calculus and fractional ordinary differential equation
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients
- Local radial point interpolation (MLRPI) method for solving time fractional diffusion-wave equation with damping
- Finite difference approximations for a fractional advection diffusion problem
- Influence graphs and the generalized finite difference method
- A boundary point interpolation method for stress analysis of solids.
- Influence of several factors in the generalized finite difference method
- Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation
- A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation
- Indirect boundary integral equation method for the Cauchy problem of the Laplace equation
- Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems
- Fast multipole accelerated singular boundary method for the 3D Helmholtz equation in low frequency regime
- Numerical investigation on the obliquely incident water wave passing through the submerged breakwater by singular boundary method
- A new collection of real world applications of fractional calculus in science and engineering
- The generalized finite difference method for long-time dynamic modeling of three-dimensional coupled thermoelasticity problems
- Boundary particle method for Laplace transformed time fractional diffusion equations
- On the variable order dynamics of the nonlinear wake caused by a sedimenting particle
- Generalized finite differences for solving 3D elliptic and parabolic equations
- A modified singular boundary method for three-dimensional high frequency acoustic wave problems
- The generalized finite difference method for long-time transient heat conduction in 3D anisotropic composite materials
- Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method
- A meshless method for solving the time fractional advection-diffusion equation with variable coefficients
- Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem
- A note on the dynamic analysis using the generalized finite difference method
- A Fourier method for the fractional diffusion equation describing sub-diffusion
- A second-order accurate numerical approximation for the fractional diffusion equation
- Generalized finite difference method for solving two-dimensional inverse Cauchy problems
- Mechanics with variable-order differential operators
- Simulation of Seismic Wave Scattering by Embedded Cavities in an Elastic Half-Plane Using the Novel Singular Boundary Method
- A Regularized Singular Boundary Method for Inverse Cauchy Problem in Three-Dimensional Elastostatics
- Fractional diffusion in inhomogeneous media
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: A meshless method for solving three-dimensional time fractional diffusion equation with variable-order derivatives