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Title: Explicit Solution of Bitsadze-Samarskii Problem
Other Titles: Точно решение на задачата на Бицадзе-Самарски
Authors: Dimovski, Ivan
Tsankov, Yulian
Keywords: Nonlocal BVP
Right-Inverse Operator
Extended Duamel Principle
Generalized Solution
Non-Classical Convolution
Multiplier Fraction
Issue Date: 2010
Publisher: Union of Bulgarian Mathematicians
Citation: Union of Bulgarian Mathematicians, Vol. 39, No 1, (2010), 114p-122p
Abstract: In this paper we find an explicit solution of Bitsadze-Samarskii problem for Laplace equation using operational calculus approach, based on two non-classical one-dimensional convolutions and a two-dimensional convolution. In fact, the explicit solution obtained is a way for effective summation of a solution obtained in the form of non-harmonic Fourier sine-expansion. This explicit solution is suitable for numerical calculation too. *2000 Mathematics Subject Classification: 44A35, 35L20, 35J05, 35J25.
Description: Иван Димовски, Юлиан Цанков - В статията е намерено точно решение на задачата на Бицадзе-Самрски (1) за уравнението на Лаплас, като е използвано операционно смятане основано на некласическа двумернa конволюция. На това точно решение може да се гледа като начин за сумиране на нехармоничния ред по синуси на решението, получен по метода на Фурие.
ISBN: 1313-3330
Appears in Collections:Mathematics and Education in Mathematics, 2010

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