Three-Point Difference Schemes of High-Order Accuracy for Systems of Nonlinear Ordinary Differential Equations of the Second Order on a Half Line
We propose an algorithmic realization of the exact three-point difference scheme for the solution of a boundary-value problem on a half line for systems of nonlinear ordinary differential equations of the second order via three-point difference schemes of rank $$ \overline{n}=2\left[\left( n+1\right...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Kutniv, M. V. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media New York 2014 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of mathematical sciences - Springer US, 1994, 201(2014), 1 vom: 25. Juli, Seite 44-59 |
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| Übergeordnetes Werk: |
volume:201 ; year:2014 ; number:1 ; day:25 ; month:07 ; pages:44-59 |
| Links: |
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| DOI / URN: |
10.1007/s10958-014-1972-2 |
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OLC2030817015 |
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| 520 | |a We propose an algorithmic realization of the exact three-point difference scheme for the solution of a boundary-value problem on a half line for systems of nonlinear ordinary differential equations of the second order via three-point difference schemes of rank $$ \overline{n}=2\left[\left( n+1\right)/2\right] $$ (where [·] is the integral part). We prove the existence and uniqueness of the solution for three-point difference schemes of rank $$ \overline{n} $$ and estimate of their accuracy. The results of numerical experiments are presented. | ||
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We propose an algorithmic realization of the exact three-point difference scheme for the solution of a boundary-value problem on a half line for systems of nonlinear ordinary differential equations of the second order via three-point difference schemes of rank $$ \overline{n}=2\left[\left( n+1\right)/2\right] $$ (where [·] is the integral part). We prove the existence and uniqueness of the solution for three-point difference schemes of rank $$ \overline{n} $$ and estimate of their accuracy. The results of numerical experiments are presented. © Springer Science+Business Media New York 2014 |
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We propose an algorithmic realization of the exact three-point difference scheme for the solution of a boundary-value problem on a half line for systems of nonlinear ordinary differential equations of the second order via three-point difference schemes of rank $$ \overline{n}=2\left[\left( n+1\right)/2\right] $$ (where [·] is the integral part). We prove the existence and uniqueness of the solution for three-point difference schemes of rank $$ \overline{n} $$ and estimate of their accuracy. The results of numerical experiments are presented. © Springer Science+Business Media New York 2014 |
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We propose an algorithmic realization of the exact three-point difference scheme for the solution of a boundary-value problem on a half line for systems of nonlinear ordinary differential equations of the second order via three-point difference schemes of rank $$ \overline{n}=2\left[\left( n+1\right)/2\right] $$ (where [·] is the integral part). We prove the existence and uniqueness of the solution for three-point difference schemes of rank $$ \overline{n} $$ and estimate of their accuracy. The results of numerical experiments are presented. © Springer Science+Business Media New York 2014 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2030817015</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503160603.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2014 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10958-014-1972-2</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2030817015</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10958-014-1972-2-p</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">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kutniv, M. V.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Three-Point Difference Schemes of High-Order Accuracy for Systems of Nonlinear Ordinary Differential Equations of the Second Order on a Half Line</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2014</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="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media New York 2014</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">We propose an algorithmic realization of the exact three-point difference scheme for the solution of a boundary-value problem on a half line for systems of nonlinear ordinary differential equations of the second order via three-point difference schemes of rank $$ \overline{n}=2\left[\left( n+1\right)/2\right] $$ (where [·] is the integral part). 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