A Taylor series method for the numerical solution of two-point boundary value problems

P. Rentrop

doi:10.1007/BF01404566

A Taylor series method for the numerical solution of two-point boundary value problems

P. Rentrop

Chair of Automotive Technology

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

For the numerical solution of two-point boundary value problems a shooting algorithm based on a Taylor series method is developed. Series coefficients are generated automatically by recurrence formulas. The performance of the algorithm is demonstrated by solving six problems arising in nonlinear shell theory, chemistry and superconductivity.

Original language	English
Pages (from-to)	359-375
Number of pages	17
Journal	Numerische Mathematik
Volume	31
Issue number	4
DOIs	https://doi.org/10.1007/BF01404566
State	Published - Dec 1978

Keywords

Subject Classifications: AMS (MOS): 65L10, CR: 5.17

Access to Document

10.1007/BF01404566

Cite this

@article{9bf69f594ace44ef859f843f48915140,

title = "A Taylor series method for the numerical solution of two-point boundary value problems",

abstract = "For the numerical solution of two-point boundary value problems a shooting algorithm based on a Taylor series method is developed. Series coefficients are generated automatically by recurrence formulas. The performance of the algorithm is demonstrated by solving six problems arising in nonlinear shell theory, chemistry and superconductivity.",

keywords = "Subject Classifications: AMS (MOS): 65L10, CR: 5.17",

author = "P. Rentrop",

year = "1978",

month = dec,

doi = "10.1007/BF01404566",

language = "English",

volume = "31",

pages = "359--375",

journal = "Numerische Mathematik",

issn = "0029-599X",

publisher = "Springer New York",

number = "4",

}

TY - JOUR

T1 - A Taylor series method for the numerical solution of two-point boundary value problems

AU - Rentrop, P.

PY - 1978/12

Y1 - 1978/12

N2 - For the numerical solution of two-point boundary value problems a shooting algorithm based on a Taylor series method is developed. Series coefficients are generated automatically by recurrence formulas. The performance of the algorithm is demonstrated by solving six problems arising in nonlinear shell theory, chemistry and superconductivity.

AB - For the numerical solution of two-point boundary value problems a shooting algorithm based on a Taylor series method is developed. Series coefficients are generated automatically by recurrence formulas. The performance of the algorithm is demonstrated by solving six problems arising in nonlinear shell theory, chemistry and superconductivity.

KW - Subject Classifications: AMS (MOS): 65L10, CR: 5.17

UR - http://www.scopus.com/inward/record.url?scp=0001487482&partnerID=8YFLogxK

U2 - 10.1007/BF01404566

DO - 10.1007/BF01404566

M3 - Article

AN - SCOPUS:0001487482

SN - 0029-599X

VL - 31

SP - 359

EP - 375

JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 4

ER -

A Taylor series method for the numerical solution of two-point boundary value problems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this