An RBF based meshless method for the distributed order time fractional advection-diffusion equation
From MaRDI portal
Publication:1799842
DOI10.1016/j.enganabound.2018.08.007zbMath1403.65096OpenAlexW2889059964WikidataQ129321258 ScholiaQ129321258MaRDI QIDQ1799842
Pinghui Zhuang, Quanzhen Liu, Baoquan Liu, Bochen Li, Qingxia Liu, Shanjun Mu, Xiaolei Bi, Jian Gao
Publication date: 19 October 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.2018.08.007
Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Related Items
High-order numerical method for solving a space distributed-order time-fractional diffusion equation, A fast finite difference/RBF meshless approach for time fractional convection-diffusion equation with non-smooth solution, Boundary layer flows of viscoelastic fluids over a non-uniform permeable surface, Distributed order model of labor migration, A high-efficient accurate coupled mesh-free scheme for 2D/3D space-fractional convection-diffusion/Burgers' problems, An accelerated novel meshless coupled Algorithm for non-local nonlinear behavior in 2D/3D space-fractional GPEs, A Meshless Method for Numerical Solutions of Non-Homogeneous Differential Equation with Variable Delays, A local collocation method with radial basis functions for an electrospinning problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data
- A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation
- Numerical solution of distributed order fractional differential equations
- Well-posedness of abstract distributed-order fractional diffusion equations
- An implicit RBF meshless approach for time fractional diffusion equations
- Numerical analysis for distributed-order differential equations
- Coupling of element-free Galerkin and hybrid boundary element methods using modified variational formulation
- Finite volume and finite element methods for solving a one-dimensional space-fractional Boussinesq equation
- A stable fast time-stepping method for fractional integral and derivative operators
- Approximate analytical solution for seepage flow with fractional derivatives in porous media
- Meshless local Petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches
- Variable order and distributed order fractional operators
- A generalized model for the uniaxial isothermal deformation of a viscoelastic body
- An advanced numerical modeling for Riesz space fractional advection-dispersion equations by a meshfree approach
- Short memory principle and a predictor-corrector approach for fractional differential equations
- Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains
- Finite difference/spectral approximations for the distributed order time fractional reaction-diffusion equation on an unbounded domain
- Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations
- Stability of fully discrete schemes with interpolation-type fractional formulas for distributed-order subdiffusion equations
- Distributed-order fractional diffusions on bounded domains
- Distributed order calculus and equations of ultraslow diffusion
- A meshfree radial point interpolation method (RPIM) for three-dimensional solids
- Finite element method for space-time fractional diffusion equation
- The role of the Fox-Wright functions in fractional sub-diffusion of distributed order
- AN ADVANCED MESHLESS METHOD FOR TIME FRACTIONAL DIFFUSION EQUATION
- Exact Solutions and Their Asymptotic Behaviors for the Averaged Generalized Fractional Elastic Models
- Time-fractional Diffusion of Distributed Order
- Distributed-Order Dynamic Systems
- Numerical simulation for the 3D seepage flow with fractional derivatives in porous media
- The Two Forms of Fractional Relaxation of Distributed Order
- New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
- MESHFREE METHODS AND THEIR COMPARISONS
- Synchronization of Chaotic Fractional Chen System
- A Second-Order Three-Level Difference Scheme for a Magneto-Thermo-Elasticity Model
- A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids
- A local point interpolation method for static and dynamic analysis of thin beams
