An n-order iterative scheme for a nonlinear carrier wave equation in the annular with robin-dirichlet conditions

Abstract

This paper is devoted to the study of a nonlinear Carrier wave equation in the annular associated with Robin-Dirichlet conditions. Using a high order iterative scheme, the existence of a local unique weak solution is proved. Moreover, the sequence established here converges to a unique weak solution at a rate of order N with N ≥ 2.