On the numerical solution of the Klein-Gordon equation by Exponential B-spline collocation method

2016/10/15 by Özlem Ersoy Hepson, Ozlem Ersoy Hepson, Hepson, Ozlem Ersoy +5
Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Fractional Differential Equations Solutions #General Mathematics (math.GM) #Nonlinear Waves and Solitons #math.GM

paper · pdf · doi:10.48550/arxiv.1610.05649

6 pages 2 figures

arxiv created 2016/10/15 · openalex publication_date 2016/10/15 · arxiv updated 2016/10/19 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In the present study, we solve initial boundary value problem construted on nonlinear Klein-Gordon equation. The collocation method on exponential cubic B-spline functions forming a set of basis for the functions defined in the same interval is set up for the numerical approach. The efficiency and validity of the proposed method are determined by computing the error between the numerical and the analytical solutions. The preservation of conserved quantities is also a good indicator of validity of the method.

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