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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

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Authors

Merey M. Sarsengeldin

Abdullah S. Erdogan

Targyn A. Nauryz

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Hassan Nouri Hassan.Nouri@uwe.ac.uk
Reader in Electrical Power and Energy



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.

Citation

Sarsengeldin, M. M., Erdogan, A. S., Nauryz, T. A., & Nouri, H. (2018). An approach for solving an inverse spherical two-phase Stefan problem arising in modeling of electric contact phenomena. Mathematical Methods in the Applied Sciences, 41(2), 850-859. https://doi.org/10.1002/MMA.4649

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 Mar 29, 2024
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.

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