Analysis of the truncation error of series solutions
for vibrating string problem

HAN She-jiao, HE Jia-qi

doi:10.16854 /j.cnki.1000-0712.180241

College Physics >

2019 , Vol. 38 >Issue 1: 8

DOI: https://doi.org/10.16854 /j.cnki.1000-0712.180241

Analysis of the truncation error of series solutions for vibrating string problem

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1.School of Physics and Optoelectronic Engineering，Xidian University，Xi'an，Shaanxi 710071，China; 2.School of Aerospace and Technology，Xidian University，Xi'an，Shaanxi 710071，China

Received date: 2018-04-16

Revised date: 2018-05-27

Online published: 2019-02-27

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Abstract

Based on three different forms of the series solutions of the vibrating string equation under the definite

condition，the truncation error of the series solutions is discussed in two different conditions，ignoring or not ignoring

the independent variables. When the independent variables，by estimating the general truncation error，defining

the Gibbs-like phenomenon is considered，we obtain the estimation of the maximum value of the truncation error.

Key words： vibrating string equation; truncation error; Gibbs-like phenomenon

Cite this article

HAN She-jiao, HE Jia-qi . Analysis of the truncation error of series solutions for vibrating string problem[J]. College Physics, 2019 , 38(1) : 8 . DOI: 10.16854 /j.cnki.1000-0712.180241

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