Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle
Abstract In this paper, a numerical procedure is proposed for solving the fuzzy linear Fredholm integral equations of the second kind by using Lagrange interpolation based on the extension principle. For this purpose, a numerical algorithm is presented, and two examples are solved by applying this a...
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| Autor*in: |
Fariborzi Araghi, M. A. [verfasserIn] Parandin, N. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2011 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Soft Computing - Springer-Verlag, 2003, 15(2011), 12 vom: 12. Apr., Seite 2449-2456 |
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| Übergeordnetes Werk: |
volume:15 ; year:2011 ; number:12 ; day:12 ; month:04 ; pages:2449-2456 |
| Links: |
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| DOI / URN: |
10.1007/s00500-011-0706-3 |
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| 520 | |a Abstract In this paper, a numerical procedure is proposed for solving the fuzzy linear Fredholm integral equations of the second kind by using Lagrange interpolation based on the extension principle. For this purpose, a numerical algorithm is presented, and two examples are solved by applying this algorithm. Moreover, a theorem is proved to show the convergence of the algorithm and obtain an upper bound for the distance between the exact and the numerical solutions. | ||
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10.1007/s00500-011-0706-3 doi (DE-627)SPR006478379 (SPR)s00500-011-0706-3-e DE-627 ger DE-627 rakwb eng Fariborzi Araghi, M. A. verfasserin aut Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, a numerical procedure is proposed for solving the fuzzy linear Fredholm integral equations of the second kind by using Lagrange interpolation based on the extension principle. For this purpose, a numerical algorithm is presented, and two examples are solved by applying this algorithm. Moreover, a theorem is proved to show the convergence of the algorithm and obtain an upper bound for the distance between the exact and the numerical solutions. Fuzzy integral equations (dpeaa)DE-He213 Lagrange interpolation (dpeaa)DE-He213 Extension principle (dpeaa)DE-He213 Henstock integrable (dpeaa)DE-He213 Fuzzy numbers (dpeaa)DE-He213 Parandin, N. verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 15(2011), 12 vom: 12. Apr., Seite 2449-2456 (DE-627)SPR006469531 nnns volume:15 year:2011 number:12 day:12 month:04 pages:2449-2456 https://dx.doi.org/10.1007/s00500-011-0706-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 15 2011 12 12 04 2449-2456 |
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10.1007/s00500-011-0706-3 doi (DE-627)SPR006478379 (SPR)s00500-011-0706-3-e DE-627 ger DE-627 rakwb eng Fariborzi Araghi, M. A. verfasserin aut Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, a numerical procedure is proposed for solving the fuzzy linear Fredholm integral equations of the second kind by using Lagrange interpolation based on the extension principle. For this purpose, a numerical algorithm is presented, and two examples are solved by applying this algorithm. Moreover, a theorem is proved to show the convergence of the algorithm and obtain an upper bound for the distance between the exact and the numerical solutions. Fuzzy integral equations (dpeaa)DE-He213 Lagrange interpolation (dpeaa)DE-He213 Extension principle (dpeaa)DE-He213 Henstock integrable (dpeaa)DE-He213 Fuzzy numbers (dpeaa)DE-He213 Parandin, N. verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 15(2011), 12 vom: 12. Apr., Seite 2449-2456 (DE-627)SPR006469531 nnns volume:15 year:2011 number:12 day:12 month:04 pages:2449-2456 https://dx.doi.org/10.1007/s00500-011-0706-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 15 2011 12 12 04 2449-2456 |
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10.1007/s00500-011-0706-3 doi (DE-627)SPR006478379 (SPR)s00500-011-0706-3-e DE-627 ger DE-627 rakwb eng Fariborzi Araghi, M. A. verfasserin aut Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, a numerical procedure is proposed for solving the fuzzy linear Fredholm integral equations of the second kind by using Lagrange interpolation based on the extension principle. For this purpose, a numerical algorithm is presented, and two examples are solved by applying this algorithm. Moreover, a theorem is proved to show the convergence of the algorithm and obtain an upper bound for the distance between the exact and the numerical solutions. Fuzzy integral equations (dpeaa)DE-He213 Lagrange interpolation (dpeaa)DE-He213 Extension principle (dpeaa)DE-He213 Henstock integrable (dpeaa)DE-He213 Fuzzy numbers (dpeaa)DE-He213 Parandin, N. verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 15(2011), 12 vom: 12. Apr., Seite 2449-2456 (DE-627)SPR006469531 nnns volume:15 year:2011 number:12 day:12 month:04 pages:2449-2456 https://dx.doi.org/10.1007/s00500-011-0706-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 15 2011 12 12 04 2449-2456 |
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10.1007/s00500-011-0706-3 doi (DE-627)SPR006478379 (SPR)s00500-011-0706-3-e DE-627 ger DE-627 rakwb eng Fariborzi Araghi, M. A. verfasserin aut Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, a numerical procedure is proposed for solving the fuzzy linear Fredholm integral equations of the second kind by using Lagrange interpolation based on the extension principle. For this purpose, a numerical algorithm is presented, and two examples are solved by applying this algorithm. Moreover, a theorem is proved to show the convergence of the algorithm and obtain an upper bound for the distance between the exact and the numerical solutions. Fuzzy integral equations (dpeaa)DE-He213 Lagrange interpolation (dpeaa)DE-He213 Extension principle (dpeaa)DE-He213 Henstock integrable (dpeaa)DE-He213 Fuzzy numbers (dpeaa)DE-He213 Parandin, N. verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 15(2011), 12 vom: 12. Apr., Seite 2449-2456 (DE-627)SPR006469531 nnns volume:15 year:2011 number:12 day:12 month:04 pages:2449-2456 https://dx.doi.org/10.1007/s00500-011-0706-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 15 2011 12 12 04 2449-2456 |
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10.1007/s00500-011-0706-3 doi (DE-627)SPR006478379 (SPR)s00500-011-0706-3-e DE-627 ger DE-627 rakwb eng Fariborzi Araghi, M. A. verfasserin aut Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, a numerical procedure is proposed for solving the fuzzy linear Fredholm integral equations of the second kind by using Lagrange interpolation based on the extension principle. For this purpose, a numerical algorithm is presented, and two examples are solved by applying this algorithm. Moreover, a theorem is proved to show the convergence of the algorithm and obtain an upper bound for the distance between the exact and the numerical solutions. Fuzzy integral equations (dpeaa)DE-He213 Lagrange interpolation (dpeaa)DE-He213 Extension principle (dpeaa)DE-He213 Henstock integrable (dpeaa)DE-He213 Fuzzy numbers (dpeaa)DE-He213 Parandin, N. verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 15(2011), 12 vom: 12. Apr., Seite 2449-2456 (DE-627)SPR006469531 nnns volume:15 year:2011 number:12 day:12 month:04 pages:2449-2456 https://dx.doi.org/10.1007/s00500-011-0706-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 15 2011 12 12 04 2449-2456 |
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Fariborzi Araghi, M. A. |
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Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle |
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Abstract In this paper, a numerical procedure is proposed for solving the fuzzy linear Fredholm integral equations of the second kind by using Lagrange interpolation based on the extension principle. For this purpose, a numerical algorithm is presented, and two examples are solved by applying this algorithm. Moreover, a theorem is proved to show the convergence of the algorithm and obtain an upper bound for the distance between the exact and the numerical solutions. |
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Abstract In this paper, a numerical procedure is proposed for solving the fuzzy linear Fredholm integral equations of the second kind by using Lagrange interpolation based on the extension principle. For this purpose, a numerical algorithm is presented, and two examples are solved by applying this algorithm. Moreover, a theorem is proved to show the convergence of the algorithm and obtain an upper bound for the distance between the exact and the numerical solutions. |
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Abstract In this paper, a numerical procedure is proposed for solving the fuzzy linear Fredholm integral equations of the second kind by using Lagrange interpolation based on the extension principle. For this purpose, a numerical algorithm is presented, and two examples are solved by applying this algorithm. Moreover, a theorem is proved to show the convergence of the algorithm and obtain an upper bound for the distance between the exact and the numerical solutions. |
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Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle |
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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">SPR006478379</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20201124002731.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">201005s2011 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00500-011-0706-3</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR006478379</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s00500-011-0706-3-e</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="100" ind1="1" ind2=" "><subfield code="a">Fariborzi Araghi, M. A.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2011</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">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper, a numerical procedure is proposed for solving the fuzzy linear Fredholm integral equations of the second kind by using Lagrange interpolation based on the extension principle. For this purpose, a numerical algorithm is presented, and two examples are solved by applying this algorithm. Moreover, a theorem is proved to show the convergence of the algorithm and obtain an upper bound for the distance between the exact and the numerical solutions.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fuzzy integral equations</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lagrange interpolation</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Extension principle</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Henstock integrable</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fuzzy numbers</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Parandin, N.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Soft Computing</subfield><subfield code="d">Springer-Verlag, 2003</subfield><subfield code="g">15(2011), 12 vom: 12. Apr., Seite 2449-2456</subfield><subfield code="w">(DE-627)SPR006469531</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:15</subfield><subfield code="g">year:2011</subfield><subfield code="g">number:12</subfield><subfield code="g">day:12</subfield><subfield code="g">month:04</subfield><subfield code="g">pages:2449-2456</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://dx.doi.org/10.1007/s00500-011-0706-3</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</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_SPRINGER</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">15</subfield><subfield code="j">2011</subfield><subfield code="e">12</subfield><subfield code="b">12</subfield><subfield code="c">04</subfield><subfield code="h">2449-2456</subfield></datafield></record></collection>
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