Least squares finite-element solution of a fractional order two-point boundary value problem
type: Item
instance of: scholarly article
title: Least squares finite-element solution of a fractional order two-point boundary value problem
zbMATH Open document ID: 1069.65094
author: Xianqiang Yang
publication date: 2005-04-07T00:00:00Z
review text: This paper deals with approximation of fractional differential equations on finite domains using variational methods. A least squares variational form for two point boundary value problems containing a fractional differential operator is derived and the existence and uniqueness results are proven. Error estimates for the variational form for piecewise linear trial elements are presented. Two numerical results are given.
reviewed by: Pavol Chocholatý
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 2153507
zbMATH Keywords: Least squares finite-element methods
zbMATH Keywords: Fractional differential operators
zbMATH Keywords: Fractional diffusion equations
zbMATH Keywords: error estimates
zbMATH Keywords: numerical results
MaRDI profile type: Publication
full work available at URL: j.camwa.2004.10.003
OpenAlex ID: W2000659785
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DOI: 10.1016/J.CAMWA.2004.10.003
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2153507