Geodesic
Numerical investigation of the generalized Hoff model
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2015), pp. 93-97 Cet article a éte moissonné depuis la source Math-Net.Ru

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The work is devoted to the numerical investigation of the generalized Hoff model. Hoff equation models the dynamics of buckling construction of I-beams under a constant load. Result of existence and uniqueness of solution to the Showalter–Sidorov problem for the investigated model is formulated. This equation is a semilinear Sobolev type equation. Sobolev type equations constitute a vast area of non-classical equations of mathematical physics. Based on the theoretical results there was developed the algorithm of numerical solution of the problem.
Keywords: Hoff equation, numerical modelling, Galerkin's method, Showalter–Sidorov problem, weak generalized solution, monotone operators, monotone method.
Mots-clés : Sobolev type equations 
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N. A. Manakova; K. V. Vasyuchkova. Numerical investigation of the generalized Hoff model. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2015), pp. 93-97. http://geodesic.mathdoc.fr/item/VSGU_2015_6_a11/

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