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A <scp>kernel‐based pseudo‐spectral</scp> method for <scp>multi‐term</scp> and distributed order <scp>time‐fractional</scp> diffusion equations - MaRDI portal

A <scp>kernel‐based pseudo‐spectral</scp> method for <scp>multi‐term</scp> and distributed order <scp>time‐fractional</scp> diffusion equations (Q6086388)

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scientific article; zbMATH DE number 7777021

Language	Label	Description	Also known as
English	A <scp>kernel‐based pseudo‐spectral</scp> method for <scp>multi‐term</scp> and distributed order <scp>time‐fractional</scp> diffusion equations	scientific article; zbMATH DE number 7777021

Statements

scholarly article

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A <scp>kernel‐based pseudo‐spectral</scp> method for <scp>multi‐term</scp> and distributed order <scp>time‐fractional</scp> diffusion equations (English)

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Numerical Methods for Partial Differential Equations

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publication date

12 December 2023

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zbMATH Keywords

distributed order

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kernel-based pseudo-spectral method

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multi-order

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reproducing kernel

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reproducing kernel Hilbert space

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time-fractional diffusion equation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/num.22981

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Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations

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Solving nonlinear fractional partial differential equations using the homotopy analysis method

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The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type

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Fractional calculus for scientists and engineers.

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A review of definitions for fractional derivatives and integral

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Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation

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General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems

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Existence and uniqueness results for a time-fractional nonlinear diffusion equation

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A novel finite difference-spectral method for fractal mobile/immobile transport model based on Caputo-Fabrizio derivative

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A numerical solution strategy based on error analysis for time-fractional mobile/immobile transport model

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The Galerkin finite element method for a multi-term time-fractional diffusion equation

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Mixed finite-element method for multi-term time-fractional diffusion and diffusion-wave equations

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Approximate solution of the multi-term time fractional diffusion and diffusion-wave equations

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Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain

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Distributed-Order Dynamic Systems

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Distributed order calculus and equations of ultraslow diffusion

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Distributed-order fractional diffusions on bounded domains

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Numerical solution of distributed order fractional differential equations

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

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Numerical approximation of distributed order reaction-diffusion equations

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Two unconditionally stable and convergent difference schemes with the extrapolation method for the one-dimensional distributed-order differential equations

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Some high-order difference schemes for the distributed-order differential equations

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Finite difference/finite element methods for distributed-order time fractional diffusion equations

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A numerical method for solving distributed order diffusion equations

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A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation

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Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation

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Theory of Reproducing Kernels

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Anti-periodic solutions for Rayleigh-type equations via the reproducing kernel Hilbert space method

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Numerical algorithm for parabolic problems with non-classical conditions

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Simplified reproducing kernel method for fractional differential equations with delay

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A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems

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A collocation method based on reproducing kernel for a modified anomalous subdiffusion equation

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Reproducing kernel enhanced local radial basis collocation method

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Using reproducing kernel for solving a class of fractional partial differential equation with non-classical conditions

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Identifiers

10.1002/num.22981

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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:6086388

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