The FD-method for solving nonlinear Klein-Gordon equation

2012/03/27 by В. Л. Макаров, Makarov, Volodymyr, Denis Dragunov +3
Mathematics · Physics and Astronomy · #65M99 (Primary) 35L15 (Secondary) #Applied mathematics #FOS: Mathematics #Fractional Differential Equations Solutions #Klein–Gordon equation #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Nonlinear system #Numerical Analysis (math.NA) #Numerical methods for differential equations #Physics

paper · pdf · doi:10.48550/arxiv.1203.5979

openalex publication_date 2012/03/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In the paper we present a functional-discrete method for solving the Goursat problem for nonlinear Klein-Gordon equation. The sufficient conditions providing that the proposed method converges superexponentially are obtained. The results of numerical example presented in the paper are in good agreement with the theoretical conclusions.

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