Tekin, Ibrahim; Mehraliyev, Yashar T.; Ismailov, Mansur I. Existence and uniqueness of an inverse problem for nonlinear Klein-Gordon equation. (English) Zbl 1418.35384 Math. Methods Appl. Sci. 42, No. 10, 3739-3753 (2019). Summary: In this paper, an initial boundary value problem for nonlinear Klein-Gordon equation is considered. Giving an additional condition, a time-dependent coefficient multiplying nonlinear term is determined, and existence and uniqueness theorem for small times is proved. The finite difference method is proposed for solving the inverse problem. Cited in 7 Documents MSC: 35R30 Inverse problems for PDEs 35L70 Second-order nonlinear hyperbolic equations 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs Keywords:existence and uniqueness; finite difference method; Fourier method; inverse coefficient problem; nonlinear hyperbolic equation PDFBibTeX XMLCite \textit{I. Tekin} et al., Math. Methods Appl. Sci. 42, No. 10, 3739--3753 (2019; Zbl 1418.35384) Full Text: DOI