Approximate solution to abstract differential equations with variable domain
T. Ju. Bohonova,
I. P. Gavrilyuk,
V. L. Makarov
et al.
Abstract:A new exponentially convergent algorithm is proposed for an abstract the first order differential equation with unbounded operator coefficient possessing a variable domain. The algorithm is based on a generalization of the Duhamel integral for vector-valued functions. This technique translates the initial problem to a system of integral equations. Then the system is approximated with exponential accuracy. The theoretical results are illustrated by examples associated with the heat transfer boundary value probl… Show more
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