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Exact solution of an inverse spherical two phase Stefan problem

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

Mathematical Physics · Submitted 15 Mar 2017

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In this paper, we represent the exact solution of a two phase inverse spherical Stefan problem, where along with unknown temperature functions heat flux function has to be determined.

how it is stated · asserted 1.00 read the record →

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arXiv ID1703.04946 (version 1)
Pith ID6PG4FVIY, Pith's permanent record of this paper and its review
CitationAbdullah S. Erdogan, Hassan Nouri, Merey M. Sarsengeldin, Targyn A. Nauryz. "Exact solution of an inverse spherical two phase Stefan problem." arXiv:1703.04946 (2017). https://pith.science/paper/6PG4FVIY
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,896 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.04 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

In this paper, we represent the exact solution of a two phase inverse spherical Stefan problem, where along with unknown temperature functions heat flux function has to be determined. Suggested solution is obtained from new form of integral error function and its properties which are represented in the form of series whose coefficients have to be determined. The model problem can be used for mathematical modeling and investigation of arc phenomena in electrical contacts.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this paper, we represent the exact solution of a two phase inverse spherical Stefan problem, where along with unknown temperature functions heat flux function has to be determined. contribution 0.90 0.94 0.74 asserted 1.00
s1 Suggested solution is obtained from new form of integral error function and its properties which are represented in the form of series whose coefficients have to be determined. method 0.98 0.91 0.14 asserted 1.00
s2 The model problem can be used for mathematical modeling and investigation of arc phenomena in electrical contacts. interpretation 0.80 0.25 0.10 hedged possibility 0.66

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

In this paper, we represent the exact solution of a two phase inverse spherical Stefan problem, where along with unknown temperature functions heat flux function has to be determined. Suggested solution is obtained from new form of integral error function and its properties which are represented in the form of series whose coefficients have to be determined. The model problem can be used for mathematical modeling and investigation of arc phenomena in electrical contacts.

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