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

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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… Click to show full abstract

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).

Keywords: equation containing; order; containing nonlocal; nonlocal term; wave equation; nonlinear wave

Journal Title: Filomat
Year Published: 2017

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