The spectral meshless radial point interpolation method for solving an inverse source problem of the time-fractional diffusion equation
type: Item
instance of: scholarly article
title: The spectral meshless radial point interpolation method for solving an inverse source problem of the time-fractional diffusion equation
zbMATH Open document ID: 1462.65134
author: Elyas Shivanian
author: Ahmad Jafarabadi
published in: Applied Numerical Mathematics
publication date: 2018-05-02T00:00:00Z
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65D12
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35R60
zbMATH DE Number: 6865794
zbMATH Keywords: spectral meshless radial point interpolation (SMRPI) method
zbMATH Keywords: radial basis function
zbMATH Keywords: inverse source problem
zbMATH Keywords: fractional diffusion equation
zbMATH Keywords: regularization
MaRDI profile type: Publication
full work available at URL: j.apnum.2018.02.008
OpenAlex ID: W2794143476
cites work: Solution for a fractional diffusion-wave equation defined in a bounded domain
cites work: Q5409544
cites work: Theoretical Numerical Analysis
cites work: Q5561302
cites work: Diffusion subject to the specification of mass
cites work: A Galerkin Procedure for the Diffusion Equation Subject to the Specification of Mass
cites work: A fractional diffusion equation to describe Lévy flights
cites work: Recent advances on radial basis function collocation methods
cites work: An iteration regularization for a time-fractional inverse diffusion problem
cites work: Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
cites work: 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
cites work: The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations
cites work: Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM)
cites work: Meshless local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity
cites work: Comparison between two meshless methods based on collocation technique for the numerical solution of four-species tumor growth model
cites work: A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model
cites work: Solving PDEs with radial basis functions
cites work: A Primer on Radial Basis Functions with Applications to the Geosciences
cites work: Method of approximate particular solutions for constant- and variable-order fractional diffusion models
cites work: Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions
cites work: A boundary value problem in the theory of heat conduction with a nonclassical boundary condition
cites work: Determination of an unknown source term and the temperature distribution for the linear heat equation involving fractional derivative in time
cites work: Finite difference/spectral approximations for the time-fractional diffusion equation
cites work: A modified kernel method for a time-fractional inverse diffusion problem
cites work: Numerical solution of the space fractional Fokker-Planck equation.
cites work: Finite difference approximations for fractional advection-dispersion flow equations
cites work: Stable numerical solution of a fractional-diffusion inverse heat conduction problem
cites work: Time fractional IHCP with Caputo fractional derivatives
cites work: Generalizing the finite element method: Diffuse approximation and diffuse elements
cites work: Regularized solution of an inverse source problem for a time fractional diffusion equation
cites work: Existence of A Solution to The N Dimensional Problem of Thermoelastic Contact
cites work: Analysis of meshless local radial point interpolation (MLRPI) on a nonlinear partial integro-differential equation arising in population dynamics
cites work: Meshless local Petrov-Galerkin (MLPG) method for three-dimensional nonlinear wave equations via moving least squares approximation
cites work: A new spectral meshless radial point interpolation (SMRPI) method: a well-behaved alternative to the meshless weak forms
cites work: On the convergence analysis, stability, and implementation of meshless local radial point interpolation on a class of three-dimensional wave equations
cites work: Error and stability analysis of numerical solution for the time fractional nonlinear Schrödinger equation on scattered data of general‐shaped domains
cites work: An improved spectral meshless radial point interpolation for a class of time-dependent fractional integral equations: 2D fractional evolution equation
cites work: Analysis of the spectral meshless radial point interpolation for solving fractional reaction-subdiffusion equation
cites work: An inverse source problem in a semilinear time-fractional diffusion equation
cites work: A Boundary Meshless Method for Solving Heat Transfer Problems Using the Fourier Transform
cites work: Identification and regularization for unknown source for a time-fractional diffusion equation
cites work: Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation
cites work: A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation
cites work: Reconstruction of a time-dependent source term in a time-fractional diffusion equation
cites work: An inverse problem for fractional diffusion equation in 2-dimensional case: stability analysis and regularization
cites work: Spectral regularization method for solving a time-fractional inverse diffusion problem
cites work: A new regularization method for solving a time-fractional inverse diffusion problem
Wikidata QID: Q130155370
DOI: 10.1016/J.APNUM.2018.02.008
description: scientific article; zbMATH DE number 6865794