A meshless method to solve the variable-order fractional diffusion problems with fourth-order derivative term
type: Item
instance of: scholarly article
title: A meshless method to solve the variable-order fractional diffusion problems with fourth-order derivative term
author: Farzaneh Safari
author: Li Jing
author: Jun Lu
author: Wen Chen
published in: Engineering Analysis with Boundary Elements
publication date: 2022-10-19T00:00:00Z
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 35-XX
zbMATH DE Number: 7604183
zbMATH Keywords: variable-order fractional diffusion equations
zbMATH Keywords: meshless method
zbMATH Keywords: weighted and shifted difference operators
zbMATH Keywords: fourth-order fractional equation
MaRDI profile type: Publication
full work available at URL: j.enganabound.2022.07.012
OpenAlex ID: W4289779996
Wikidata QID: Q113875165
cites work: Q5229078
cites work: Solving a fourth-order fractional diffusion-wave equation in a bounded domain by decomposition method
cites work: Q5699297
cites work: An efficient numerical treatment of fourth‐order fractional diffusion‐wave problems
cites work: A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation
cites work: A wavelet approach for the multi-term time fractional diffusion-wave equation
cites work: A COMPACT DIFFERENCE SCHEME FOR FOURTH-ORDER FRACTIONAL SUB-DIFFUSION EQUATIONS WITH NEUMANN BOUNDARY CONDITIONS
cites work: A mixed finite element method for a time-fractional fourth-order partial differential equation
cites work: Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem
cites work: A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative
cites work: Time second-order finite difference/finite element algorithm for nonlinear time-fractional diffusion problem with fourth-order derivative term
cites work: The variable-order fractional calculus of variations
cites work: A meshless method for solving three-dimensional time fractional diffusion equation with variable-order derivatives
cites work: A local weak form meshless method to simulate a variable order time-fractional mobile-immobile transport model
cites work: On the selection and meaning of variable order operators for dynamic modeling
cites work: A variable order constitutive relation for viscoelasticity
cites work: Orthonormal Bernstein polynomials for solving nonlinear variable‐order time fractional fourth‐order diffusion‐wave equation with nonsingular fractional derivative
cites work: A computational method for solving variable-order fractional nonlinear diffusion-wave equation
cites work: A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation
cites work: The method of approximate particular solutions to simulate an anomalous mobile‐immobile transport process
cites work: Numerical simulations for a variable order fractional cable equation
cites work: Numerical solution for a variable-order fractional nonlinear cable equation via Chebyshev cardinal functions
cites work: A new investigation into regularization techniques for the method of fundamental solutions
cites work: Simulation of linear and nonlinear advection-diffusion-reaction problems by a novel localized scheme
cites work: A cubic B-spline semi-analytical algorithm for simulation of 3D steady-state convection-diffusion-reaction problems
cites work: A new semi-analytical method for solving a class of time fractional partial differential equations with variable coefficients
cites work: A novel meshless space-time backward substitution method and its application to nonhomogeneous advection-diffusion problems
cites work: A homogenization function method for inverse heat source problems in 3D functionally graded materials
cites work: Numerical approximations for space-time fractional Burgers' equations via a new semi-analytical method
cites work: A new semi-analytical collocation method for solving multi-term fractional partial differential equations with time variable coefficients
cites work: Coupling of the improved singular boundary method and dual reciprocity method for multi-term time-fractional mixed diffusion-wave equations
cites work: A class of second order difference approximations for solving space fractional diffusion equations
cites work: Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
cites work: Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
DOI: 10.1016/J.ENGANABOUND.2022.07.012
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description: scientific article; zbMATH DE number 7604183