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Utilizing differential quadrature-based RBF partition of unity collocation method to simulate distributed-order time fractional cable equation - MaRDI portal

Utilizing differential quadrature-based RBF partition of unity collocation method to simulate distributed-order time fractional cable equation (Q6192351)

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scientific article; zbMATH DE number 7803460

Language	Label	Description	Also known as
English	Utilizing differential quadrature-based RBF partition of unity collocation method to simulate distributed-order time fractional cable equation	scientific article; zbMATH DE number 7803460

Statements

scholarly article

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Utilizing differential quadrature-based RBF partition of unity collocation method to simulate distributed-order time fractional cable equation (English)

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Nader Biranvand

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Ali Ebrahimijahan

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Computational and Applied Mathematics

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publication date

12 February 2024

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zbMATH Keywords

distributed-order time-fractional cable equation

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fractional calculus

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meshless methods

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RBF collocation

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partition of unity

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differential quadrature

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irregular convex domains

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s40314-023-02507-3

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THE PARTITION OF UNITY METHOD

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Error indicators and refinement strategies for solving Poisson problems through a RBF partition of unity collocation scheme

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Adaptive radial basis function partition of unity interpolation: a bivariate algorithm for unstructured data

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A fourth‐order accurate numerical method for the distributed‐order Riesz space fractional diffusion equation

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Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition

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Detailed error analysis for a fractional Adams method

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Numerical solution of time-dependent stochastic partial differential equations using RBF partition of unity collocation method based on finite difference

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A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain

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An approach to construct higher order time discretisation schemes for time fractional partial differential equations with nonsmooth data

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An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time

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Smooth interpolation of large sets of scattered data

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An investigation of space distributed-order models for simulating anomalous transport in a binary medium

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A novel finite element method for the distributed-order time fractional Cable equation in two dimensions

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Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations

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A numerical investigation of the time distributed-order diffusion model

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Fractional cable equation models for anomalous electrodiffusion in nerve cells: Infinite domain solutions

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A RBF partition of unity collocation method based on finite difference for initial-boundary value problems

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The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: numerical analysis

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Finite difference/spectral approximations for the fractional cable equation

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Some second-order \(\theta\) schemes combined with finite element method for nonlinear fractional cable equation

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A two-grid finite element approximation for a nonlinear time-fractional Cable equation

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A new fractional finite volume method for solving the fractional diffusion equation

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Numerical methods for solving the multi-term time-fractional wave-diffusion equation

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Numerical solution of the space fractional Fokker-Planck equation.

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Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation

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Two Dimensional Interpolation from Random Data

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Some aspects of fractional diffusion equations of single and distributed order

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The D-RBF-PU method for solving surface PDEs

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The Direct Radial Basis Function Partition of Unity (D-RBF-PU) Method for Solving PDEs

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Fast high-order compact difference scheme for the nonlinear distributed-order fractional Sobolev model appearing in porous media

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A locally stabilized radial basis function partition of unity technique for the sine-Gordon system in nonlinear optics

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A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications

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Radial basis function partition of unity methods for pricing vanilla basket options

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An unstructured mesh finite element method for solving the multi-term time fractional and Riesz space distributed-order wave equation on an irregular convex domain

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An improved meshless algorithm for a kind of fractional cable problem with error estimate

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Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations

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

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Novel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations

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Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation

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Development of RBF-DQ method for derivative approximation and its application to simulate natural convection in concentric annuli

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WSGD-OSC scheme for two-dimensional distributed order fractional reaction-diffusion equation

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Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains

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Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains

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Numerical identification of the fractional derivatives in the two-dimensional fractional cable equation

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A study of distributed‐order time fractional diffusion models with continuous distribution weight functions

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The application of the distributed-order time fractional Bloch model to magnetic resonance imaging

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A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

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A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation

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Finite difference/spectral methods for the two-dimensional distributed-order time-fractional cable equation

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Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation

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Basic Theory of Fractional Differential Equations

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Galerkin finite element method and error analysis for the fractional cable equation

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Identifiers

10.1007/s40314-023-02507-3

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6192351

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