| Article |
|---|
| Article name |
Solution of a Cauchy Problem for the Cooling of the Piecewise-Homogeneous Rod1 |
| Authors |
Kovalev F.A.Master Student fedor.kovalev.94©mail, ru |
| Bibliographic description |
Kovalev F. A. Solution of a Cauchy Problem for the Cooling of the Piecewise-Homogeneous Rod // Scholarly Notes of Transbaikal State University. Series Physics, Mathematics, Engineering, Technology. 2018. Vol. 13, No. 4. PP. 11-16. DOI: 10.21209/2308-8761-2018-13- 4-11-16. |
| Section |
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| DOI |
10.21209/2308-8761-2018-13-4-11-16 |
| UDK |
517.956 |
| Article type |
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| Annotation |
A Cauchy problem for an unbounded rod consisting of two parts with different weight and thermal parameters is considered. An explicit solution of the problem in one-time quadratures is constructed. For instant heat source the solution of the problem is obtained in the final form. Temperature function graphs with a certain time step for different composite rods are constructed.
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| Key words |
heat conduction processes in piecewise homogeneous rod, Cauchy problem for heat conduction equation with conjugation conditions |
| Article information |
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| References |
1. Tikhonov A. N., Samarskiy A. A. Uravneniya matematicheskoy fiziki. M.: Nauka, 1972. 735 s.
2. Kholodovskii S. E. Zadachi matematicheskoy fiziki v oblastyakh s plenochnymi vklyucheniyami i plenochnymi granitsami. Chita: ZabGU, 2017. 234 s. |
| Full article | Solution of a Cauchy Problem for the Cooling of the Piecewise-Homogeneous Rod1 |
