An n-order iterative scheme for a nonlinear wave equation containing a nonlocal term | Zendy

Le Thi Phuong Ngoc | Zendy; Bui Tri | Zendy; Nguyễn Thành Long | Zendy

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An n-order iterative scheme for a nonlinear wave equation containing a nonlocal term

Author(s) -

Le Thi Phuong Ngoc,

Bui Tri,

Nguyễn Thành Long

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1706755n

Subject(s) - mathematics , term (time) , nonlinear system , sequence (biology) , scheme (mathematics) , order (exchange) , mathematical analysis , boundary value problem , iterative method , initial value problem , mathematical optimization , physics , genetics , finance , quantum mechanics , economics , biology

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 N (N≥2).

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