Rasulov R.Haluk Kul R.2024-03-132024-03-1320061109-2769https://hdl.handle.net/20.500.12662/3238In this paper a new numerical method for solution of initial value problem for the second order nonlinear wave equation which describes the standing vibrations of a finite continuous and nonlinear string has been proposed. Special auxiliary problem has been suggested and using the advantages of the suggested auxiliary problem, a finite difference scheme is constructed for the numerical solution of the main problem. Some computer experiments have been carried out.eninfo:eu-repo/semantics/closedAccessIn a class of discontinuous functionLongitudinal oscillationNonlinear wave propagationNumerical modelingArticle2-s2.0-33751562248133812Q213365