On one form of solution of an equation of parabolic type
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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.
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References
- Akhmedov M. One more time about generalized theta functions. Academic Notes of Dushanbe State Ped. institute, vol. 53, iss. 5, 1966a.
- Akhmedov M. On integrals of the form .... . Ibidem, 1966 b.
- Zhuravsky A. M. On one generalization of the modular transformation of theta functions. Journal of Mining Institute, vol. XXX, iss. 3, 1959.
- Zhuravsky A. M. On generalized theta functions. Journal of Mining Institute, vol. XXXVII, iss. 3, 1961.
- Karslow G., Yeager D. Heat Conduction of Solids. Nauka, 1964. Lykov A. V. Theory of heat conduction. GTTI, 1952.
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