Optimal regularization for an unknown source of space-fractional diffusion equation
type: Item
instance of: scholarly article
title: Optimal regularization for an unknown source of space-fractional diffusion equation
zbMATH Open document ID: 1429.65221
author: Dinh Nguyen Duy Hai
author: Dang Minh Nguyen
author: Dang Duc Trong
published in: Applied Mathematics and Computation
publication date: 2019-11-26T00:00:00Z
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 47A52
zbMATH DE Number: 7136876
zbMATH Keywords: space-fractional backward diffusion problem
zbMATH Keywords: ill-posed problem
zbMATH Keywords: regularization
zbMATH Keywords: order optimal error bounds
describes a project that uses: quadgk
describes a project that uses: quadva
MaRDI profile type: Publication
full work available at URL: j.amc.2018.12.030
OpenAlex ID: W2912407952
cites work: Lévy Processes and Stochastic Calculus
cites work: A Fast Method for the Numerical Evaluation of Continuous Fourier and Laplace Transforms
cites work: Q4888858
cites work: Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains
cites work: A regularization for a Riesz–Feller space-fractional backward diffusion problem
cites work: Recent applications of fractional calculus to science and engineering
cites work: Q4895893
cites work: Some recent advances in theory and simulation of fractional diffusion processes
cites work: Fractional Partial Differential Equations and Their Numerical Solutions
cites work: Numerical solution of the space fractional Fokker-Planck equation.
cites work: The fundamental solution of the space-time fractional diffusion equation
cites work: Finite difference approximations for two-sided space-fractional partial differential equations
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: Improved and more feasible numerical methods for Riesz space fractional partial differential equations
cites work: Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
cites work: Vectorized adaptive quadrature in MATLAB
cites work: A new \textit{a posteriori} parameter choice strategy for the convolution regularization of the space-fractional backward diffusion problem
cites work: An inverse source problem for a one-dimensional space–time fractional diffusion equation
cites work: Optimality for ill-posed problems under general source conditions
cites work: The Dirichlet problem for the fractional \(p\)-Laplacian evolution equation
cites work: Optimal error bound and simplified Tikhonov regularization method for a backward problem for the time-fractional diffusion equation
cites work: The inverse source problem for time-fractional diffusion equation: stability analysis and regularization
cites work: Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
cites work: An optimal regularization method for space-fractional backward diffusion problem
cites work: Two regularization methods for solving a Riesz–Feller space-fractional backward diffusion problem
cites work: An inverse problem for space‐fractional backward diffusion problem
Wikidata QID: Q128469909
DOI: 10.1016/J.AMC.2018.12.030
description: scientific article; zbMATH DE number 7136876