ІНТЕГРАЛЬНЕ ПРЕДСТАВЛЕННЯ РОЗВ’ЯЗАННЯ ЗМІШАНИХ ПАРАБОЛІЧНИХ ЗАДАЧ З М'ЯКОЮ МЕЖЕЮ НА ПОЛЯРНІЙ ОСІ
DOI:
https://doi.org/10.32626/2308-5878.2013-9.29-46Ключові слова:
parabolic equation, initial and boundary conditions, conjugate conditions, the differential operator, hybrid integral transform, Green functions, the influence functions.Анотація
By means of method of hybrid integral transform of Legendre-Bessel-Legendre type with the spectral parameter the integral representation of exact analytical solution of mixed problem for the system of equations of parabolic type in the piece-homogeneous polar axis with soft limits is obtained. Modeling of evolutionary process is made by the method of hybrid differential Legendre-Bessel-Legendre operator.Посилання
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