A N-ORDER ITERATIVE SCHEME FOR THE ROBIN PROBLEM FOR A NONLINEAR WAVE EQUATION WITH THE SOURCE TERM CONTAINING THE UNKNOWN BOUNDARY VALUES

Nguyen Huu Nhan, Nguyen Thanh Than, Le Thi Phuong Ngoc, Nguyen Thanh Long

Abstract


In this paper, we consider the Robin problem for a nonlinear wave equation with the source term containing the unknown boundary values. By establishing a high order iterative scheme, we get a convergent sequence at a rate of order N to an unique local weak solution of the model.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)