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Numerical solution of one dimensional nonlinear wave equation with twice nonlinearity in a class of discontinuous functions
(2006) Rasulov R.; Haluk Kul R.
In 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.