Two methods to solve a fractional single phase moving boundary problem

• Authors: Xicheng Li , Shaowei Wang , Moli Zhao
• Languages of publication: EN

Abstracts

EN

A moving boundary problem of a melting problem is considered in this study. A mathematical model using the Caputo fractional derivative heat equation is proposed in the paper. Since moving boundary problems are difficult to solve for the exact solution, two methods are presented to approximate the evolution of the temperature. To simplify the computation, a similarity variable is adopted in order to reduce the partial differential equations to ordinary ones.

Keywords

EN

fractional derivative; heat conduction; similarity variable; approximate solution

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 10
• Pages: 1387-1391

Dates

published

1 - 10 - 2013

online

19 - 12 - 2013

Contributors

author

Xicheng Li

• School of Mathematical Sciences, University of Jinan, 106 Jiwei Road, 250100, Jinan, P.R. China

author

Shaowei Wang

• Department of Engineering Mechanics, School of Civil Engineering, Shandong University, 17923 Jingshi Road, 250061, Jinan, P.R. China

author

Moli Zhao

• Department of Engineering Mechanics, School of Civil Engineering, Shandong University, 17923 Jingshi Road, 250061, Jinan, P.R. China

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Identifiers

DOI

10.2478/s11534-013-0227-z