The spectral meshless radial point interpolation method for solving an inverse source problem of the time-fractional diffusion equation (Q1748047)

scientific article; zbMATH DE number 6865794

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English	The spectral meshless radial point interpolation method for solving an inverse source problem of the time-fractional diffusion equation	scientific article; zbMATH DE number 6865794

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scholarly article

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title

The spectral meshless radial point interpolation method for solving an inverse source problem of the time-fractional diffusion equation (English)

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Applied Numerical Mathematics

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publication date

2 May 2018

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zbMATH Keywords

spectral meshless radial point interpolation (SMRPI) method

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radial basis function

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inverse source problem

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fractional diffusion equation

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regularization

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.apnum.2018.02.008

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cites work

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An iteration regularization for a time-fractional inverse diffusion problem

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Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation

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Variational multiscale element free Galerkin (VMEFG) and local discontinuous Galerkin (LDG) methods for solving two-dimensional Brusselator reaction-diffusion system with and without cross-diffusion

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The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations

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Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM)

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Meshless local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity

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Comparison between two meshless methods based on collocation technique for the numerical solution of four-species tumor growth model

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A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model

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Solving PDEs with radial basis functions

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A Primer on Radial Basis Functions with Applications to the Geosciences

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Method of approximate particular solutions for constant- and variable-order fractional diffusion models

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Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions

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A boundary value problem in the theory of heat conduction with a nonclassical boundary condition

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Determination of an unknown source term and the temperature distribution for the linear heat equation involving fractional derivative in time

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Finite difference/spectral approximations for the time-fractional diffusion equation

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A modified kernel method for a time-fractional inverse diffusion problem

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Numerical solution of the space fractional Fokker-Planck equation.

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Finite difference approximations for fractional advection-dispersion flow equations

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Stable numerical solution of a fractional-diffusion inverse heat conduction problem

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Time fractional IHCP with Caputo fractional derivatives

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Generalizing the finite element method: Diffuse approximation and diffuse elements

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Regularized solution of an inverse source problem for a time fractional diffusion equation

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Existence of A Solution to The N Dimensional Problem of Thermoelastic Contact

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Analysis of meshless local radial point interpolation (MLRPI) on a nonlinear partial integro-differential equation arising in population dynamics

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Meshless local Petrov-Galerkin (MLPG) method for three-dimensional nonlinear wave equations via moving least squares approximation

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A new spectral meshless radial point interpolation (SMRPI) method: a well-behaved alternative to the meshless weak forms

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On the convergence analysis, stability, and implementation of meshless local radial point interpolation on a class of three-dimensional wave equations

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Error and stability analysis of numerical solution for the time fractional nonlinear Schrödinger equation on scattered data of general‐shaped domains

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An improved spectral meshless radial point interpolation for a class of time-dependent fractional integral equations: 2D fractional evolution equation

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Analysis of the spectral meshless radial point interpolation for solving fractional reaction-subdiffusion equation

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An inverse source problem in a semilinear time-fractional diffusion equation

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A Boundary Meshless Method for Solving Heat Transfer Problems Using the Fourier Transform

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Identification and regularization for unknown source for a time-fractional diffusion equation

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Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation

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A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation

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Reconstruction of a time-dependent source term in a time-fractional diffusion equation

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An inverse problem for fractional diffusion equation in 2-dimensional case: stability analysis and regularization

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Spectral regularization method for solving a time-fractional inverse diffusion problem

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A new regularization method for solving a time-fractional inverse diffusion problem

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Identifiers

zbMATH Open document ID

1462.65134

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Mathematics Subject Classification ID

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10.1016/J.APNUM.2018.02.008

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Sitelinks

Mathematics(1 entry)

mardi Publication:1748047