Numerical solution of the Volterra equations of the first kind that appear in an inverse boundary-value problem of heat conduction

Svetlana V. Solodusha; Natalia M. Yaparova

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arXiv · 1407.1678

Numerical solution of the Volterra equations of the first kind that appear in an inverse boundary-value problem of heat conduction

Svetlana V. Solodusha·Natalia M. Yaparova

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Abstract

The paper considers the integral Volterra equations of the first kind which are related to the inverse boundary-value heat conduction problem. The algorithms have been developed to numerically solve the respective integral equations, which are based on the midpoint rule and product integration method.

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Svetlana V. Solodusha, Natalia M. Yaparova. 2014-07-07. Numerical solution of the Volterra equations of the first kind that appear in an inverse boundary-value problem of heat conduction. https://arxiv.org/abs/1407.1678

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