An approach for solving an inverse spherical two-phase Stefan problem arising in modeling of electric contact phenomena

Sarsengeldin, Merey M.; Erdogan, Abdullah S.; Nauryz, Targyn A.; Nouri, Hassan

Abstract

In this paper, a model problem that can be used for mathematical modeling and investigation of arc phenomena in electrical contacts is considered. An analytical approach for the solution of a two-phase inverse spherical Stefan problem where along with unknown temperature functions heat flux function has to be determined is presented. The suggested solution method is obtained from a new form of integral error function and its properties that are represented in the form of series whose coefficients have to be determined. Using integral error function and collocation method, the solution of a test problem is obtained in exact form and approximately.

• Journal Article Type: Article
• Acceptance Date: Mar 21, 2017
• Online Publication Date: Oct 27, 2017
• Publication Date: Jan 1, 2018
• Deposit Date: Apr 9, 2018
• Publicly Available Date: Oct 27, 2018
• Journal: Mathematical Methods in the Applied Sciences
• Print ISSN: 0170-4214
• Electronic ISSN: 1099-1476
• Publisher: Wiley
• Peer Reviewed: Peer Reviewed
• Volume: 41
• Issue: 2
• Pages: 850-859
• DOI: https://doi.org/10.1002/MMA.4649
• Keywords: electrical contacts, integral error function, inverse two-phase Stefan problem
• Public URL: https://uwe-repository.worktribe.com/output/871985
• Publisher URL: https://doi.org/10.1002/mma.4649
• Additional Information: Additional Information : This is the peer reviewed version of the following article: [Nouri, H. (2017) An approach for solving an inverse spherical two-phase Stefan problem arising in modeling of electric contact phenomena. Mathematical Methods in the Applied Sciences. pp. 1-10. ISSN 0170-4214], which has been published in final form at https://doi.org/10.1002/mma.4649. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
• Contract Date: Apr 9, 2018