B-splines Numerical Simulation of Bernouilli’s Beam Equation

In this paper we give the numerical simulation of the fourth-order transverse equation beam’s equation, under the assumptions of elastic modulus, constant mass density and an applied load expressed as a function of the transverse displacement. In our approach we have used a B-spline basis, combined with a suitable collocation method and finite difference scheme. By a rigorous treatment of the boundary conditions we have obtained an efficient higher-order method for an accurate numerical solution of the beam’s equation. Some non trivial numerical examples show the high efficiency of our approach, its versatility and effectiveness, surpassing conventional benchmarks.