A modified kernel method for a time-fractional inverse diffusion problem
type: Item
instance of: scholarly article
title: A modified kernel method for a time-fractional inverse diffusion problem
zbMATH Open document ID: 1422.35184
author: Songshu Liu
author: Lixin Feng
published in: Advances in Difference Equations
publication date: 2018-10-29T00:00:00Z
Mathematics Subject Classification ID: 35R25
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 47A52
zbMATH DE Number: 6967829
zbMATH Keywords: time-fractional inverse diffusion problem
zbMATH Keywords: ill-posed problem
zbMATH Keywords: regularization method
zbMATH Keywords: error estimate
Wikidata QID: Q59436406
MaRDI profile type: Publication
full work available at URL: s13662-015-0679-0
OpenAlex ID: W2113417936
cites work: Numerical algorithm for solving two-point, second-order periodic boundary value problems for mixed integro-differential equations
cites work: Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method
cites work: Solving Fredholm integro-differential equations using reproducing kernel Hilbert space method
cites work: Numerical solution of systems of second-order boundary value problems using continuous genetic algorithm
cites work: A computational method for solving periodic boundary value problems for integro-differential equations of Fredholm-Volterra type
cites work: Reproducing kernel spaces and applications
cites work: A fundamental solution method for inverse heat conduction problem
cites work: Least Squares Methods for Ill-Posed Problems with a Prescribed Bound
cites work: Fractional diffusion equations by the Kansa method
cites work: Numerical research on the coherent structure in the viscoelastic second-order mixing layers
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: A fractional calculus interpretation of the fractional volatility model
cites work: The fundamental solution of the space-time fractional diffusion equation
cites work: Finite difference/spectral approximations for the time-fractional diffusion equation
cites work: Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
cites work: The Wright functions as solutions of the time-fractional diffusion equation.
cites work: A Space-Time Spectral Method for the Time Fractional Diffusion Equation
cites work: Maximum principle for the generalized time-fractional diffusion equation
cites work: Stable numerical solution of a fractional-diffusion inverse heat conduction problem
cites work: Time fractional IHCP with Caputo fractional derivatives
cites work: Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
cites work: An iteration regularization for a time-fractional inverse diffusion problem
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
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
DOI: 10.1186/S13662-015-0679-0
description: scientific article; zbMATH DE number 6967829