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A numerical method for singular boundary value problem of ordinary differential equation

Abstract

A numerical method, regularizing method, is suggested to treat the singular boundary problem of ordinary differential equation that is raised from controlled nuclear fusion science and other fields owing to their singular physical mechanism. This kind of singular boundary problem has been successfully solved by special treatment near the singular points and using difference method. This method overcomes difficulties in numerical calculation due to the singularity. The convergence results and numerical test are also given.
Authors:
Qibing, He [1] 
  1. Southwest Inst. of Physics, Leshan, SC (China)
Publication Date:
Dec 01, 1992
Product Type:
Technical Report
Report Number:
CNIC-00689; SIP-0055.
Reference Number:
SCA: 990200; 700300; PA: AIX-25:037538; EDB-94:086086; ERA-19:020510; NTS-94:022112; SN: 94001208192
Resource Relation:
Other Information: PBD: Dec 1992
Subject:
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; DIFFERENTIAL EQUATIONS; BOUNDARY-VALUE PROBLEMS; SINGULARITY; CONVERGENCE; NUMERICAL SOLUTION; THERMONUCLEAR REACTIONS; 990200; 700300; MATHEMATICS AND COMPUTERS; PLASMA PHYSICS AND FUSION RESEARCH
OSTI ID:
10152818
Research Organizations:
China Nuclear Information Centre, Beijing, BJ (China)
Country of Origin:
China
Language:
Chinese
Other Identifying Numbers:
Other: ON: DE94624803; ISBN 7-5022-0807-0; TRN: CN9400336037538
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
12 p.
Announcement Date:
Jul 05, 2005

Citation Formats

Qibing, He. A numerical method for singular boundary value problem of ordinary differential equation. China: N. p., 1992. Web.
Qibing, He. A numerical method for singular boundary value problem of ordinary differential equation. China.
Qibing, He. 1992. "A numerical method for singular boundary value problem of ordinary differential equation." China.
@misc{etde_10152818,
title = {A numerical method for singular boundary value problem of ordinary differential equation}
author = {Qibing, He}
abstractNote = {A numerical method, regularizing method, is suggested to treat the singular boundary problem of ordinary differential equation that is raised from controlled nuclear fusion science and other fields owing to their singular physical mechanism. This kind of singular boundary problem has been successfully solved by special treatment near the singular points and using difference method. This method overcomes difficulties in numerical calculation due to the singularity. The convergence results and numerical test are also given.}
place = {China}
year = {1992}
month = {Dec}
}