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ON KERNEL CALCULATION OF THE INTEGRAL EQUATION ARISING IN INVERSE BOUNDARY-VALUE PROBLEM OF HEAT CONDUCTION

Annotation

The article deals with the calculation of kernels of Volterra integral equations of the first kind at a fixed length of the significand in the floating point representation of a real number. The PASCAL language was used to develop the software for the calculation of kernels, which implements the function of tracking the valid digits of the significand. The test examples illustrate the typical cases of systematic error accumulation.

Keywords

Volterra integral equations of the first kind; numerical methods

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UDC

517.968

Pages

1444-1447

References

1. Yaparova N.M. Numerical methods for solving a boundary value inverse heat conduction problem // Inverse Problems in Science and Engineering. 2014. № 5. P. 832-847. 2. Solodusha S.V. Primenenie chislennykh metodov dlya uravneniy Vol'terra I roda, voznikayushchikh v obratnoy granichnoy zadache teploprovodnosti // Izvestiya IGU. Seriya: Matematika. 2015. № 1. S. 96-105. 3. Mokryy I.V., Khamisov O.V., Tsapakh A.S. Osnovnye mekhanizmy vozniknoveniya vychislitel'noy oshibki pri komp'yuternykh raschetakh // Materialy IV Vseross. konf. .Problemy optimizatsii i ekonomicheskie prilozheniya. Omsk: Nasledie, 2009. S. 185.

Received

2015-05-15

Section of issue

Scientific articles

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