ІНТЕГРАЛЬНЕ ПРЕДСТАВЛЕННЯ РОЗВ’ЯЗАННЯ ЗМІШАНИХ ПАРАБОЛІЧНИХ ЗАДАЧ З М'ЯКОЮ МЕЖЕЮ НА ПОЛЯРНІЙ ОСІ

Ivan Mykhajlovych Konet, Tatiana Mykhajlivna Pylypyuk

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.

Ключові слова


parabolic equation; initial and boundary conditions; conjugate conditions; the differential operator; hybrid integral transform; Green functions; the influence functions.

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Посилання


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