A differential transformation boundary element method for solving transient heat conduction problems in functionally graded materials

This paper presents a new method that is formed by the differential transformation method (DTM) and the radial integral boundary element method to solve transient heat conduction problems of functionally graded materials. The original governing equation is accurately transformed into a time-independ...
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Autor*in:	Yu, Bo [verfasserIn] Zhou, Huan-Lin Yan, Jun Meng, Zeng

Format:	Artikel
Sprache:	Englisch

Erschienen:	2016

Rechteinformationen:	Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2016

Schlagwörter:	Nonlinear programming

Übergeordnetes Werk:	Enthalten in: Numerical heat transfer / A - Washington, DC : Taylor & Francis, 1989, 70(2016), 3, Seite 293
Übergeordnetes Werk:	volume:70 ; year:2016 ; number:3 ; pages:293

Links:	Volltext Link aufrufen Link aufrufen

DOI / URN:	10.1080/10407782.2016.1173471

Katalog-ID:	OLC1980211779

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allfields	10.1080/10407782.2016.1173471 doi PQ20160815 (DE-627)OLC1980211779 (DE-599)GBVOLC1980211779 (PRQ)i1084-7b10589529dac9bc12c93a526d01908fec0fc6d3b9e1d60167af699d3fef660 (KEY)0090205520160000070000300293differentialtransformationboundaryelementmethodfor DE-627 ger DE-627 rakwb eng 620 530 DNB Yu, Bo verfasserin aut A differential transformation boundary element method for solving transient heat conduction problems in functionally graded materials 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper presents a new method that is formed by the differential transformation method (DTM) and the radial integral boundary element method to solve transient heat conduction problems of functionally graded materials. The original governing equation is accurately transformed into a time-independent and recursive form equation on some time intervals by the DTM. Based on the fundamental solution of steady potential problems, the boundary integral equation is derived, where domain integrals are transformed into boundary integrals by the radial integral method. A self-adaptive convergence criterion is used to improve the accuracy of the results. Finally, the unknown variables are solved by the recursive process in any time interval. Numerical examples show that for two- or three-dimensional problems highly accurate and stable results can be obtained by using the present method. Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2016 Nonlinear programming Zhou, Huan-Lin oth Yan, Jun oth Meng, Zeng oth Enthalten in Numerical heat transfer / A Washington, DC : Taylor & Francis, 1989 70(2016), 3, Seite 293 (DE-627)130798940 (DE-600)1007779-0 (DE-576)023042214 1040-7782 nnns volume:70 year:2016 number:3 pages:293 http://dx.doi.org/10.1080/10407782.2016.1173471 Volltext http://www.tandfonline.com/doi/abs/10.1080/10407782.2016.1173471 http://search.proquest.com/docview/1805783470 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 AR 70 2016 3 293
spelling	10.1080/10407782.2016.1173471 doi PQ20160815 (DE-627)OLC1980211779 (DE-599)GBVOLC1980211779 (PRQ)i1084-7b10589529dac9bc12c93a526d01908fec0fc6d3b9e1d60167af699d3fef660 (KEY)0090205520160000070000300293differentialtransformationboundaryelementmethodfor DE-627 ger DE-627 rakwb eng 620 530 DNB Yu, Bo verfasserin aut A differential transformation boundary element method for solving transient heat conduction problems in functionally graded materials 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper presents a new method that is formed by the differential transformation method (DTM) and the radial integral boundary element method to solve transient heat conduction problems of functionally graded materials. The original governing equation is accurately transformed into a time-independent and recursive form equation on some time intervals by the DTM. Based on the fundamental solution of steady potential problems, the boundary integral equation is derived, where domain integrals are transformed into boundary integrals by the radial integral method. A self-adaptive convergence criterion is used to improve the accuracy of the results. Finally, the unknown variables are solved by the recursive process in any time interval. Numerical examples show that for two- or three-dimensional problems highly accurate and stable results can be obtained by using the present method. Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2016 Nonlinear programming Zhou, Huan-Lin oth Yan, Jun oth Meng, Zeng oth Enthalten in Numerical heat transfer / A Washington, DC : Taylor & Francis, 1989 70(2016), 3, Seite 293 (DE-627)130798940 (DE-600)1007779-0 (DE-576)023042214 1040-7782 nnns volume:70 year:2016 number:3 pages:293 http://dx.doi.org/10.1080/10407782.2016.1173471 Volltext http://www.tandfonline.com/doi/abs/10.1080/10407782.2016.1173471 http://search.proquest.com/docview/1805783470 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 AR 70 2016 3 293
allfields_unstemmed	10.1080/10407782.2016.1173471 doi PQ20160815 (DE-627)OLC1980211779 (DE-599)GBVOLC1980211779 (PRQ)i1084-7b10589529dac9bc12c93a526d01908fec0fc6d3b9e1d60167af699d3fef660 (KEY)0090205520160000070000300293differentialtransformationboundaryelementmethodfor DE-627 ger DE-627 rakwb eng 620 530 DNB Yu, Bo verfasserin aut A differential transformation boundary element method for solving transient heat conduction problems in functionally graded materials 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper presents a new method that is formed by the differential transformation method (DTM) and the radial integral boundary element method to solve transient heat conduction problems of functionally graded materials. The original governing equation is accurately transformed into a time-independent and recursive form equation on some time intervals by the DTM. Based on the fundamental solution of steady potential problems, the boundary integral equation is derived, where domain integrals are transformed into boundary integrals by the radial integral method. A self-adaptive convergence criterion is used to improve the accuracy of the results. Finally, the unknown variables are solved by the recursive process in any time interval. Numerical examples show that for two- or three-dimensional problems highly accurate and stable results can be obtained by using the present method. Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2016 Nonlinear programming Zhou, Huan-Lin oth Yan, Jun oth Meng, Zeng oth Enthalten in Numerical heat transfer / A Washington, DC : Taylor & Francis, 1989 70(2016), 3, Seite 293 (DE-627)130798940 (DE-600)1007779-0 (DE-576)023042214 1040-7782 nnns volume:70 year:2016 number:3 pages:293 http://dx.doi.org/10.1080/10407782.2016.1173471 Volltext http://www.tandfonline.com/doi/abs/10.1080/10407782.2016.1173471 http://search.proquest.com/docview/1805783470 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 AR 70 2016 3 293
allfieldsGer	10.1080/10407782.2016.1173471 doi PQ20160815 (DE-627)OLC1980211779 (DE-599)GBVOLC1980211779 (PRQ)i1084-7b10589529dac9bc12c93a526d01908fec0fc6d3b9e1d60167af699d3fef660 (KEY)0090205520160000070000300293differentialtransformationboundaryelementmethodfor DE-627 ger DE-627 rakwb eng 620 530 DNB Yu, Bo verfasserin aut A differential transformation boundary element method for solving transient heat conduction problems in functionally graded materials 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper presents a new method that is formed by the differential transformation method (DTM) and the radial integral boundary element method to solve transient heat conduction problems of functionally graded materials. The original governing equation is accurately transformed into a time-independent and recursive form equation on some time intervals by the DTM. Based on the fundamental solution of steady potential problems, the boundary integral equation is derived, where domain integrals are transformed into boundary integrals by the radial integral method. A self-adaptive convergence criterion is used to improve the accuracy of the results. Finally, the unknown variables are solved by the recursive process in any time interval. Numerical examples show that for two- or three-dimensional problems highly accurate and stable results can be obtained by using the present method. Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2016 Nonlinear programming Zhou, Huan-Lin oth Yan, Jun oth Meng, Zeng oth Enthalten in Numerical heat transfer / A Washington, DC : Taylor & Francis, 1989 70(2016), 3, Seite 293 (DE-627)130798940 (DE-600)1007779-0 (DE-576)023042214 1040-7782 nnns volume:70 year:2016 number:3 pages:293 http://dx.doi.org/10.1080/10407782.2016.1173471 Volltext http://www.tandfonline.com/doi/abs/10.1080/10407782.2016.1173471 http://search.proquest.com/docview/1805783470 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 AR 70 2016 3 293
allfieldsSound	10.1080/10407782.2016.1173471 doi PQ20160815 (DE-627)OLC1980211779 (DE-599)GBVOLC1980211779 (PRQ)i1084-7b10589529dac9bc12c93a526d01908fec0fc6d3b9e1d60167af699d3fef660 (KEY)0090205520160000070000300293differentialtransformationboundaryelementmethodfor DE-627 ger DE-627 rakwb eng 620 530 DNB Yu, Bo verfasserin aut A differential transformation boundary element method for solving transient heat conduction problems in functionally graded materials 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This paper presents a new method that is formed by the differential transformation method (DTM) and the radial integral boundary element method to solve transient heat conduction problems of functionally graded materials. The original governing equation is accurately transformed into a time-independent and recursive form equation on some time intervals by the DTM. Based on the fundamental solution of steady potential problems, the boundary integral equation is derived, where domain integrals are transformed into boundary integrals by the radial integral method. A self-adaptive convergence criterion is used to improve the accuracy of the results. Finally, the unknown variables are solved by the recursive process in any time interval. Numerical examples show that for two- or three-dimensional problems highly accurate and stable results can be obtained by using the present method. Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2016 Nonlinear programming Zhou, Huan-Lin oth Yan, Jun oth Meng, Zeng oth Enthalten in Numerical heat transfer / A Washington, DC : Taylor & Francis, 1989 70(2016), 3, Seite 293 (DE-627)130798940 (DE-600)1007779-0 (DE-576)023042214 1040-7782 nnns volume:70 year:2016 number:3 pages:293 http://dx.doi.org/10.1080/10407782.2016.1173471 Volltext http://www.tandfonline.com/doi/abs/10.1080/10407782.2016.1173471 http://search.proquest.com/docview/1805783470 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 AR 70 2016 3 293
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title_sort	differential transformation boundary element method for solving transient heat conduction problems in functionally graded materials
title_auth	A differential transformation boundary element method for solving transient heat conduction problems in functionally graded materials
abstract	This paper presents a new method that is formed by the differential transformation method (DTM) and the radial integral boundary element method to solve transient heat conduction problems of functionally graded materials. The original governing equation is accurately transformed into a time-independent and recursive form equation on some time intervals by the DTM. Based on the fundamental solution of steady potential problems, the boundary integral equation is derived, where domain integrals are transformed into boundary integrals by the radial integral method. A self-adaptive convergence criterion is used to improve the accuracy of the results. Finally, the unknown variables are solved by the recursive process in any time interval. Numerical examples show that for two- or three-dimensional problems highly accurate and stable results can be obtained by using the present method.
abstractGer	This paper presents a new method that is formed by the differential transformation method (DTM) and the radial integral boundary element method to solve transient heat conduction problems of functionally graded materials. The original governing equation is accurately transformed into a time-independent and recursive form equation on some time intervals by the DTM. Based on the fundamental solution of steady potential problems, the boundary integral equation is derived, where domain integrals are transformed into boundary integrals by the radial integral method. A self-adaptive convergence criterion is used to improve the accuracy of the results. Finally, the unknown variables are solved by the recursive process in any time interval. Numerical examples show that for two- or three-dimensional problems highly accurate and stable results can be obtained by using the present method.
abstract_unstemmed	This paper presents a new method that is formed by the differential transformation method (DTM) and the radial integral boundary element method to solve transient heat conduction problems of functionally graded materials. The original governing equation is accurately transformed into a time-independent and recursive form equation on some time intervals by the DTM. Based on the fundamental solution of steady potential problems, the boundary integral equation is derived, where domain integrals are transformed into boundary integrals by the radial integral method. A self-adaptive convergence criterion is used to improve the accuracy of the results. Finally, the unknown variables are solved by the recursive process in any time interval. Numerical examples show that for two- or three-dimensional problems highly accurate and stable results can be obtained by using the present method.
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title_short	A differential transformation boundary element method for solving transient heat conduction problems in functionally graded materials
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up_date	2024-07-04T02:38:08.620Z
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fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a2200265 4500</leader><controlfield tag="001">OLC1980211779</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230714204805.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">160816s2016 xx \|\|\|\|\| 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1080/10407782.2016.1173471</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">PQ20160815</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC1980211779</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBVOLC1980211779</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(PRQ)i1084-7b10589529dac9bc12c93a526d01908fec0fc6d3b9e1d60167af699d3fef660</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(KEY)0090205520160000070000300293differentialtransformationboundaryelementmethodfor</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">620</subfield><subfield code="a">530</subfield><subfield code="q">DNB</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Yu, Bo</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="2"><subfield code="a">A differential transformation boundary element method for solving transient heat conduction problems in functionally graded materials</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2016</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This paper presents a new method that is formed by the differential transformation method (DTM) and the radial integral boundary element method to solve transient heat conduction problems of functionally graded materials. The original governing equation is accurately transformed into a time-independent and recursive form equation on some time intervals by the DTM. Based on the fundamental solution of steady potential problems, the boundary integral equation is derived, where domain integrals are transformed into boundary integrals by the radial integral method. A self-adaptive convergence criterion is used to improve the accuracy of the results. Finally, the unknown variables are solved by the recursive process in any time interval. Numerical examples show that for two- or three-dimensional problems highly accurate and stable results can be obtained by using the present method.</subfield></datafield><datafield tag="540" ind1=" " ind2=" "><subfield code="a">Nutzungsrecht: Copyright © Taylor & Francis Group, LLC 2016</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Nonlinear programming</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zhou, Huan-Lin</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Yan, Jun</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Meng, Zeng</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Numerical heat transfer / A</subfield><subfield code="d">Washington, DC : Taylor & Francis, 1989</subfield><subfield code="g">70(2016), 3, Seite 293</subfield><subfield code="w">(DE-627)130798940</subfield><subfield code="w">(DE-600)1007779-0</subfield><subfield code="w">(DE-576)023042214</subfield><subfield code="x">1040-7782</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:70</subfield><subfield code="g">year:2016</subfield><subfield code="g">number:3</subfield><subfield code="g">pages:293</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">http://dx.doi.org/10.1080/10407782.2016.1173471</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">http://www.tandfonline.com/doi/abs/10.1080/10407782.2016.1173471</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">http://search.proquest.com/docview/1805783470</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-TEC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">70</subfield><subfield code="j">2016</subfield><subfield code="e">3</subfield><subfield code="h">293</subfield></datafield></record></collection>
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A differential transformation boundary element method for solving transient heat conduction problems in functionally graded materials

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