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Title: Two-points problem for an evolutional first order equation in Banach space
Authors: Vasylyk, V.B.
Keywords: First order differential evolution equations in Banach space, nonlocal problem, unbounded operator coefficient, operator exponential, exponentially convergent algorithms
Issue Date: 2010
Abstract: Two-point nonlocal problem for the first order differential evolution equation with an operator co- efficient in a Banach space X is considered. An exponentially convergent algorithm is proposed and justified in assumption that the operator coefficient is strongly positive and some existence and unique- ness conditions are fulfilled. This algorithm leads to a system of linear equations that can be solved by fixed-point iteration. The algorithm provides exponentially convergence in time that in combination with fast algorithms on spatial variables can be efficient treating such problems. The efficiency of the proposed algorithms is demonstrated by numerical examples.
Appears in Collections:Наукові роботи співробітників кафедри прикладної математики

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