ON A HIGH ORDER ITERATIVE SCHEME FOR A NONLINEAR WAVE EQUATION WITH THE SOURCE TERM CONTAINING A NONLINEAR INTEGRAL

Nguyen Huu Nhan, Le Thi Phuong Ngoc, Tran Minh Thuyet, Nguyen Thanh Long

Abstract


In this paper, we consider the initial and boundary value problem for a nonlinear wave equation, with the source term containing a nonlinear integral, associated with homo- geneous Dirichlet boundary conditions. We establish here a high order iterative scheme in order to get a convergent sequence at a rate of order N to a local unique weak solution of the above problem. This scheme shows that the convergence can be obtained with a high rate if the nonlinear term in the original equation is smooth enough.


Full Text: PDF

Refbacks

  • There are currently no refbacks.


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