SOLUTIONS OF LINEAR INITIAL-BOUNDARY VALUE PROBLEMS OF REACTION-DIFFUSION TYPE WITH DELAY
https://doi.org/10.26583/vestnik.2023.286
Abstract
Linear one-dimensional equations of reaction-diffusion type with a constant delay are considered. Exact solutions of such equations are described, which are expressed in elementary functions. Closed-form solutions are obtained for the corresponding initial-boundary value problems with common initial data and boundary conditions of the first, second, and third kind, as well as mixed boundary conditions
Keywords
linear reaction-diffusion equations,
partial differential equations with delay,
initial-boundary value problems,
closed-form solutions,
exact solutions
Supporting agencies: The work was carried out on the topic of a state assignment (state registration number 123021700057-0).
About the Authors
A. D. Polyanin
Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences
Russian Federation
Russian Federation
V. G. Sorokin
Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences
Russian Federation
Russian Federation
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For citations:
Polyanin A.D., Sorokin V.G. SOLUTIONS OF LINEAR INITIAL-BOUNDARY VALUE PROBLEMS OF REACTION-DIFFUSION TYPE WITH DELAY. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2023;12(3):153-164. (In Russ.) https://doi.org/10.26583/vestnik.2023.286
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