A meshless method to solve the variable-order fractional diffusion problems with fourth-order derivative term
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Publication:2085973
DOI10.1016/j.enganabound.2022.07.012OpenAlexW4289779996WikidataQ113875165 ScholiaQ113875165MaRDI QIDQ2085973
Wen Chen, Li Jing, Farzaneh Safari, Jun Lu
Publication date: 19 October 2022
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2022.07.012
meshless methodfourth-order fractional equationvariable-order fractional diffusion equationsweighted and shifted difference operators
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Cites Work
- Unnamed Item
- Unnamed Item
- A mixed finite element method for a time-fractional fourth-order partial differential equation
- Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
- On the selection and meaning of variable order operators for dynamic modeling
- A new investigation into regularization techniques for the method of fundamental solutions
- Numerical simulations for a variable order fractional cable equation
- A local weak form meshless method to simulate a variable order time-fractional mobile-immobile transport model
- The variable-order fractional calculus of variations
- Numerical solution for a variable-order fractional nonlinear cable equation via Chebyshev cardinal functions
- A meshless method for solving three-dimensional time fractional diffusion equation with variable-order derivatives
- Time second-order finite difference/finite element algorithm for nonlinear time-fractional diffusion problem with fourth-order derivative term
- Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem
- A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative
- A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation
- A computational method for solving variable-order fractional nonlinear diffusion-wave equation
- Numerical approximations for space-time fractional Burgers' equations via a new semi-analytical method
- A homogenization function method for inverse heat source problems in 3D functionally graded materials
- Coupling of the improved singular boundary method and dual reciprocity method for multi-term time-fractional mixed diffusion-wave equations
- A new semi-analytical method for solving a class of time fractional partial differential equations with variable coefficients
- A novel meshless space-time backward substitution method and its application to nonhomogeneous advection-diffusion problems
- Simulation of linear and nonlinear advection-diffusion-reaction problems by a novel localized scheme
- A cubic B-spline semi-analytical algorithm for simulation of 3D steady-state convection-diffusion-reaction problems
- A new semi-analytical collocation method for solving multi-term fractional partial differential equations with time variable coefficients
- A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation
- Solving a fourth-order fractional diffusion-wave equation in a bounded domain by decomposition method
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- An efficient numerical treatment of fourth‐order fractional diffusion‐wave problems
- Orthonormal Bernstein polynomials for solving nonlinear variable‐order time fractional fourth‐order diffusion‐wave equation with nonsingular fractional derivative
- A wavelet approach for the multi-term time fractional diffusion-wave equation
- The method of approximate particular solutions to simulate an anomalous mobile‐immobile transport process
- A COMPACT DIFFERENCE SCHEME FOR FOURTH-ORDER FRACTIONAL SUB-DIFFUSION EQUATIONS WITH NEUMANN BOUNDARY CONDITIONS
- A class of second order difference approximations for solving space fractional diffusion equations
- A variable order constitutive relation for viscoelasticity
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