Error Estimates of a Space‐Time Spectral Method for Nonlinear Klein–Gordon Equation With Unknown Coefficients

ABSTRACT A space‐time spectral method combined with mollification method is proposed for the inverse coefficient problem of the nonlinear Klein–Gordon equation. The spectral scheme is utilized to reconstruct an unknown time‐dependent coefficient and wave displacement in a nonlinear Klein–Gordon equa...

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Bibliographic Details
Published in:	Numerical methods for partial differential equations Vol. 41; no. 4
Main Authors:	Qiao, Yan, Wu, Hua
Format:	Journal Article
Language:	English
Published:	Hoboken, USA John Wiley & Sons, Inc 01.07.2025 Wiley Subscription Services, Inc
Subjects:	Chebyshev approximation Convergence error estimates Estimates fully‐discrete Galerkin method implicit–explicit iterative scheme inverse problem Iterative solution Klein-Gordon equation mollification method nonlinear Klein–Gordon equation Numerical differentiation Regularization Smooth boundaries space‐time spectral scheme Spectral methods Stability analysis Time dependence
ISSN:	0749-159X, 1098-2426
Online Access:	Get full text
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