Solution of one phase Inverse Stefan Problem by IEF method

Sarsengeldin, Merey M.; Guvercin, Selim; Kassabek, Samat A.

doi:10.1088/1742-6596/495/1/012021

Cited by 2 publications

(2 citation statements)

References 1 publication

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“…This study is a sequel of series of studies [6,7], whose ultimate purpose is to determine and investigate components of arc occurring during opening electrical contacts and it is an attempt to model arcing process on the base of inverse one phase Stefan problem.…”

Section: Introductionmentioning

confidence: 99%

Exact solution of the one phase inverse Stefan problem

Sarsengeldin

Kharin

Kassabek

et al. 2018

Filomat

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Exact solution of inverse one phase Stefan problem is represented in the form of linear combination of integral error functions. Heat flux function is reconstructed and coefficients of solution function are found exactly. Test problem was considered for engineering purposes and it was shown that by collocation method the error for three points does not exceed 0.01%. Error estimate was calculated by maximum principle.

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Section: Introductionmentioning

confidence: 99%

Exact solution of the one phase inverse Stefan problem

Sarsengeldin

Kharin

Kassabek

et al. 2018

Filomat

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show abstract

“…However, in the case of domains that degenerate at the initial time, there are additional difficulties because of the singularity of integral equations, which belong to the class of pseudo -Volterra equations which are unsolvable in the general case. First attempts to solve Stefan problem by proposed method are given in [7,8]. This study is devoted to suggest analytical solution for two phase spherical Stefan problem with one free boundary which is based on the use of integral error functions and their properties.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution of two-phase spherical Stefan problem by heat polynomials and integral error functions

Kharin¹,

Sarsengeldin²,

Nouri³

2016

AIP Conference Proceedings

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On the base of the Holm model, we represent two phase spherical Stefan problem and its analytical solution, which can serve as a mathematical model for diverse thermo-physical phenomena in electrical contacts. Suggested solution is obtained from integral error function and its properties which are represented in the form of series whose coefficients have to be determined. Convergence of solution series is proved.

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Solution of one phase Inverse Stefan Problem by IEF method

Cited by 2 publications

References 1 publication

Exact solution of the one phase inverse Stefan problem

Exact solution of the one phase inverse Stefan problem

Analytical solution of two-phase spherical Stefan problem by heat polynomials and integral error functions

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