On one form of solution of an equation of parabolic type
Authors:
Abstract
Differential equations of parabolic type describe many diverse problems from physics and engineering. Their solution, represented in the form of the classical Fourier expansion, is suitable only at large and average values of time. Meanwhile, a number of specific technical problems require consideration of short-time processes. There are already some partial results in this direction.
Область исследования:
(Archived) Without section
Funding:
None
References
- Akhmedov M. One more time about generalized theta functions. Uch. Zap. Dushanbinsk. gos. ped. in-ta, vol. 53, iss. 5, 1966a.
- Akhmedov M. On integrals of the form .... .Uch. Zap. Dushanbinsk. gos. ped. in-ta, vol. 53, iss. 5, 1966 b.
- Zhuravsky A. M. On one generalization of the modular transformation of theta functions. Zapiski Gornogo Instituta, vol. XXX, iss. 3, 1959.
- Zhuravsky A. M. On generalized theta functions. Zapiski Gornogo Instituta, vol. XXXVII, iss. 3, 1961.
- Carslaw G., Jaeger D. Heat Conduction of Solids. Nauka, 1964.
- Lykov A. V. Theory of heat conduction. GTTI, 1952.