On the numerical solution of quasilinear wave equation with strong dissipative term

摘要

In this study, the periodic on time problem for quasilinear wave equation, three level difference scheme is presented. The difference scheme is constructed by the method of integral identities with the use of linear basis function and interpolating quadrature rules with the remainder terms in integral form. Error of difference solution is estimated. The theoretical results are controlled on a numerical example.