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Title: On a High Order Iterative Scheme for a Nonlinear Wave Equation
Authors: Lê, Thị Phương Ngọc
Nguyễn, Thị Thảo Trúc
Trần, Thị Hồng Nga
Nguyễn, Thành Long
Keywords: Nonlinear wave equation
Faedo-Galerkin method
The convergence of order N
Issue Date: 2015
Series/Report no.: Nonlinear Functional Analysis anh Applications;1 .- p.121-138
Abstract: In this paper, a high order iterative scheme is established in order to get a convergent sequence, at a rate of order N, to a local unique weak solution of a nonlinear wave equation associated with homogeneous Dirichlet boundary conditions. This scheme shows that the convergence can be obtained with a high rate if the nonlinear term in the original equation is smooth enough.
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