<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

Time fractional IHCP with Caputo fractional derivatives

Name: Time fractional IHCP with Caputo fractional derivatives
Creator: Diego A. Murio
Keywords: Finite differences, Computational Mathematics, Computational Theory and Mathematics, Modelling and Simulation, Grünwald–Letnikov fractional derivatives, Mollification, Caputo fractional derivatives, Time fractional inverse heat conduction problem, 0101 mathematics, Ill-posed problems

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 2008 English Publisher:Elsevier BVJournal:Computers & Mathematics with Applications, volume 56, pages 2,371-2,381 (issn: 0898-1221,

Authors: Diego A. Murio;

doi: 10.1016/j.camwa.2008.05.015

Time fractional IHCP with Caputo fractional derivatives

- Summary
- Subjects
- Metrics

Abstract

AbstractThe numerical solution of the time fractional inverse heat conduction problem (TFIHCP) on a finite slab is investigated in the presence of measured (noisy) data when the time fractional derivative is interpreted in the sense of Caputo. A finite difference space marching scheme with adaptive regularization, using mollification techniques, is introduced. Error estimates are derived for the numerical solution of the mollified problem and several numerical examples of interest are provided.

Related Organizations

University of Cincinnati
United States
University System of Ohio
United States
Department of Mathematical Sciences
Russian Federation

Keywords

Finite differences, Computational Mathematics, Computational Theory and Mathematics, Modelling and Simulation, Grünwald–Letnikov fractional derivatives, Mollification, Caputo fractional derivatives, Time fractional inverse heat conduction problem, Ill-posed problems

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	94
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%

Found an issue? Give us feedback

Top 10%

hybrid

Fields of Science

Fields of Science