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REGULARIZATION OF A ONE DIMENSIONAL INVERSE STEFAN PROBLEM BY THE METHOD OF TRUNCATED INTEGRATION

Nguyen Cam 1
Pham Hoang Quan 2
Volume & Issue: Vol. 5 No. 12 (2002) | Page No.: 16-23 | DOI: 10.32508/stdj.v5i12.3460
Published: 2002-12-31

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Copyright The Author(s) 2023. This article is published with open access by Vietnam National University, Ho Chi Minh city, Vietnam. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited. 

Abstract

The inverse Stefan problem determines the distributed temperature on the surface if we know the boundary shape and the initial distributed temperature. This problem will be reduced to investigate a convolution equation. This equation is regularized by method of truncated integration with error estimates between the exact solution and regularized solution.

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