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Numerical investigation of the Boussinesq–Love mathematical models on geometrical graphs

A. A. Zamyshlyaeva, A. V. Lut

South Ural State University, Chelyabinsk, Russian Federation

Abstract: The article is devoted to the numerical investigation of the Boussinesq–Love mathematical models on geometrical graphs representing constructions made of thin elastic rods. The first paragraph describes the developed algorithm for numerical solution of the Boussinesq–Love equation with initial conditions and boundary conditions in the vertices. The block diagram of the algorithm is given and described. The result of computation experiment is given in the second paragraph.

Keywords: geometrical graph; the Sobolev type model; the Sturm–Liouville problem; the Boussinesq–Love mathematical model.

UDC: 517.9

MSC: 35G05

Received: 02.03.2017

Language: English

DOI: 10.14529/mmp170211

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