An $\mathrm N$-order Iterative Scheme for a Nonlinear Wave Equation Containing a Nonlocal Term

Le Thi Phuong Ngoc, Bui Minh Tri, Nguyen Thanh Long

In this paper, we consider an initial - boundary value problem for a nonlinear wave equation containing a nonlocal term. Using a high order iterative scheme, the existence of a unique weak solution is proved. Furthermore, the sequence established here converges to a unique weak solution at a rate of order $\mathrm N$ $N\geq2$.