Numerical investigation of thegeneralized Hoff model

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.

Hoff equation, numerical modelling, Galerkin’s method, Sobolev type equations, Showalter – Sidorov problem, weak generalized solution, monotone operators, monotone method