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Exact and approximate solutions of a degenerate reaction-diffusion system

Авторы: Kazakov A.L., Spevak L.F.

Журнал: Journal Of Applied Mechanics And Technical Physics

Том: 62

Номер: 4

Год: 2021

Отчётный год: 2021

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Местоположение издательства:

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DOI: 10.1134/S0021894421040179

Аннотация: We consider the problem of constructing exact solutions to a system of two coupled nonlinear parabolic reaction-diffusion equations. We study solutions in the form of diffusion waves propagating over zero background with a finite speed. The theorem on the construction of exact solutions by reducing to the Cauchy problem for a system of ordinary differential equations (ODEs) is proved. A time-step numerical technique for solving the reaction-diffusion system using radial basis function expansion is proposed. The same technique is used to solve the systems of ordinary differential equations defining exact solutions to the reaction-diffusion system. Numerical analysis and estimation of the accuracy of solutions to the system of ODEs are carried out. These solutions are used to verify the obtained time-step solutions of the original system.

Индексируется WOS: Q4

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Да

Индексируется ВАК: Нет

Индексируется CORE: Нет

Публикация в печати: 0