Approximate Solution of an Inverse Problem for a Singularly Perturbed Integro-Differential Heat Equation.

Autor:	Denisov, A. M.
Předmět:	INTEGRO-differential equations INVERSE problems HEAT equation DIFFERENTIAL-difference equations SINGULAR perturbations
Zdroj:	Computational Mathematics & Mathematical Physics; May2023, Vol. 63 Issue 5, p837-844, 8p
Abstrakt:	The paper considers an inverse problem for a singularly perturbed integro-differential heat equation, which consists in determining the boundary condition from additional information on the solution of the initial-boundary value problem. It is proved that an approximate solution of the inverse problem can be obtained by using a finite number of terms in the expansion of the solution of the initial-boundary value problem in a small parameter. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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