The n-order iterative schemes for a nonlinear Kirchhoff–Carrier wave equation associated with the mixed inhomogeneous conditions

Abstract

In this paper, a high-order iterative scheme is established in order to get a convergent sequence at a rate of order N ( N ⩾ 1 ) to a local unique weak solution of a nonlinear Kirchhoff–Carrier wave equation associated with mixed nonhomogeneous conditions – the boundary conditions are Dirichlet in one part and Robin in other part of boundary. On the other hand, some numerical results were presented.