A high-efficient accurate coupled mesh-free scheme for 2D/3D space-fractional convection-diffusion/Burgers' problems (Q6103723)

scientific article; zbMATH DE number 7692049

Language	Label	Description	Also known as
English	A high-efficient accurate coupled mesh-free scheme for 2D/3D space-fractional convection-diffusion/Burgers' problems	scientific article; zbMATH DE number 7692049

Statements

instance of

scholarly article

0 references

title

A high-efficient accurate coupled mesh-free scheme for 2D/3D space-fractional convection-diffusion/Burgers' problems (English)

0 references

0 references

0 references

0 references

0 references

0 references

5 June 2023

0 references

zbMATH Keywords

fractional calculus

0 references

CSPH

0 references

Riemann-Liouville derivative

0 references

Burgers' problem

0 references

parallelization

0 references

MaRDI profile type

Publication

0 references

cites work

Fractional relaxation processes and fractional rheological models for the description of a class of viscoelastic materials.

0 references

Q4059124

0 references

On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling

0 references

A review of definitions of fractional derivatives and other operators

0 references

Q4233638

0 references

Solving linear and non-linear space-time fractional reaction-diffusion equations by the Adomian decomposition method

0 references

Weighted finite difference methods for a class of space fractional partial differential equations with variable coefficients

0 references

A Fast Finite Difference Method for Two-Dimensional Space-Fractional Diffusion Equations

0 references

An explicit high order method for fractional advection diffusion equations

0 references

Necessity of introducing non-integer shifted parameters by constructing high accuracy finite difference algorithms for a two-sided space-fractional advection-diffusion model

0 references

Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators

0 references

The accuracy and stability of an implicit solution method for the fractional diffusion equation

0 references

Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation

0 references

Finite difference approximations for fractional advection-dispersion flow equations

0 references

Finite difference methods for two-dimensional fractional dispersion equation

0 references

Novel operational matrices-based method for solving fractional-order delay differential equations via shifted Gegenbauer polynomials

0 references

A second-order numerical method for two-dimensional two-sided space fractional convection diffusion equation

0 references

Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

0 references

A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative

0 references

High order finite difference WENO schemes for fractional differential equations

0 references

Efficient numerical methods for the nonlinear two-sided space-fractional diffusion equation with variable coefficients

0 references

A fourth-order scheme for space fractional diffusion equations

0 references

A novel and accurate finite difference method for the fractional Laplacian and the fractional Poisson problem

0 references

The temporal second order difference schemes based on the interpolation approximation for the time multi-term fractional wave equation

0 references

Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations

0 references

A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

0 references

An approximation scheme for the time fractional convection-diffusion equation

0 references

A class of second order difference approximations for solving space fractional diffusion equations

0 references

A new finite element formulation for computational fluid dynamics. II. Beyond SUPG

0 references

Variational formulation for the stationary fractional advection dispersion equation

0 references

Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation

0 references

A hybridized discontinuous Galerkin method for 2D fractional convection-diffusion equations

0 references

Finite element method for two-dimensional space-fractional advection-dispersion equations

0 references

An enriched finite element method to fractional advection-diffusion equation

0 references

A Petrov-Galerkin finite element method for variable-coefficient fractional diffusion equations

0 references

A Petrov-Galerkin finite element method for the fractional advection-diffusion equation

0 references

A fast finite volume method for conservative space-fractional diffusion equations in convex domains

0 references

A finite volume method for two-sided fractional diffusion equations on non-uniform meshes

0 references

A novel finite volume method for the Riesz space distributed-order advection-diffusion equation

0 references

Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation

0 references

Hermite Spectral Methods for Fractional PDEs in Unbounded Domains

0 references

A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations

0 references

Smoothed Particle Hydrodynamics

0 references

An effective pure meshfree method for 1D/2D time fractional convection-diffusion problems on irregular geometry

0 references

A RBF-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation

0 references

A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation

0 references

A meshless method for solving the time fractional advection-diffusion equation with variable coefficients

0 references

An RBF based meshless method for the distributed order time fractional advection-diffusion equation

0 references

A meshfree approach for solving 2D variable-order fractional nonlinear diffusion-wave equation

0 references

Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method

0 references

Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition

0 references

Meshless analysis of two-dimensional two-sided space-fractional wave equation based on improved moving least-squares approximation

0 references

Enriched reproducing kernel particle method for fractional advection-diffusion equation

0 references

A Meshfree Method for the Fractional Advection-Diffusion Equation

0 references

Generalized finite difference method for a class of multidimensional space-fractional diffusion equations

0 references

A Petrov-Galerkin finite element-meshfree formulation for multi-dimensional fractional diffusion equations

0 references

Element‐free Galerkin methods

0 references

Reproducing kernel particle methods

0 references

Smoothed particle hydrodynamics stability analysis

0 references

Space-fractional advection-dispersion equations by the Kansa method

0 references

A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation

0 references

The \(\delta p l u s\)-SPH model: simple procedures for a further improvement of the SPH scheme

0 references

Improvement of the tensile instability in SPH scheme for the FEI (fluid-elastomer interaction) problem

0 references

A mixed corrected symmetric SPH (MC-SSPH) method for computational dynamic problems

0 references

Wave propagation in functionally graded materials by modified smoothed particle hydrodynamics (MSPH) method

0 references

An improved parallel SPH approach to solve 3D transient generalized Newtonian free surface flows

0 references

A kernel gradient-free SPH method with iterative particle shifting technology for modeling low-Reynolds flows around airfoils

0 references

Smoothed particle hydrodynamics (SPH): an overview and recent developments

0 references

A generalized smoothed particle hydrodynamics method for nonlinear dynamic problems

0 references

SHP simulation of multi-phase flow

0 references

A new kernel function for SPH with applications to free surface flows

0 references

A least-squares particle model with other techniques for 2D viscoelastic fluid/free surface flow

0 references

Error estimation in smoothed particle hydrodynamics and a new scheme for second derivatives

0 references

Boundary Problems for the Fractional and Tempered Fractional Operators

0 references

Q3698196

0 references

Numerical Solution of Partial Differential Equations

0 references

A Lax equivalence theorem for stochastic differential equations

0 references

The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method

0 references

Non-perturbative analytical solutions of the space- and time-fractional Burgers equations

0 references

Numerical solutions of time and space fractional coupled Burgers equations using time–space Chebyshev pseudospectral method

0 references

Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method

0 references

Second-order approximations for variable order fractional derivatives: algorithms and applications

0 references

published in

Computers & Mathematics with Applications

0 references

Identifiers

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

10.1016/J.CAMWA.2022.10.020

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6103723