RETRACTED: Solution of nonlinear Fredholm integro-differential equations using a hybrid of block pulse functions and normalized Bernstein polynomials
This article has been retracted: please see Elsevier Policy on Article Withdrawal (http://www.elsevier.com/locate/withdrawalpolicy). This article has been retracted at the request of the Editor-in-Chief. The Editor-in-Chief of the Journal of Computational and Applied Mathematics has found that the s...
Saved in:
| Published in: | Journal of computational and applied mathematics Vol. 260; pp. 258 - 265 |
|---|---|
| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier B.V
01.04.2014
|
| Subjects: | |
| ISSN: | 0377-0427, 1879-1778 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | This article has been retracted: please see Elsevier Policy on Article Withdrawal (http://www.elsevier.com/locate/withdrawalpolicy).
This article has been retracted at the request of the Editor-in-Chief.
The Editor-in-Chief of the Journal of Computational and Applied Mathematics has found that the scientific content of “Solution of nonlinear Fredholm integro-differential equations using a hybrid of block pulse functions and normalized Bernstein polynomials” by S.H. Behiry, Journal of Computational and Applied Mathematics, Volume 260 (2014), pages 258–265, was previously published in the journal Abstract and Applied Analysis as “Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials”, Volume 2013 (2013), Article ID 416757, 8 pages (http://dx.doi.org/10.1155/2013/416757).
Double submission and publication of an article represents a serious violation of publishing ethics, and as such this article represents a severe abuse of the scientific publishing system. The Editor-in-Chief of the Journal of Computational and Applied Mathematics, in agreement with the publisher, hereby retract this article and apologize for any inconvenience this may cause. |
|---|---|
| AbstractList | This article has been retracted: please see Elsevier Policy on Article Withdrawal (http://www.elsevier.com/locate/withdrawalpolicy).
This article has been retracted at the request of the Editor-in-Chief.
The Editor-in-Chief of the Journal of Computational and Applied Mathematics has found that the scientific content of “Solution of nonlinear Fredholm integro-differential equations using a hybrid of block pulse functions and normalized Bernstein polynomials” by S.H. Behiry, Journal of Computational and Applied Mathematics, Volume 260 (2014), pages 258–265, was previously published in the journal Abstract and Applied Analysis as “Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials”, Volume 2013 (2013), Article ID 416757, 8 pages (http://dx.doi.org/10.1155/2013/416757).
Double submission and publication of an article represents a serious violation of publishing ethics, and as such this article represents a severe abuse of the scientific publishing system. The Editor-in-Chief of the Journal of Computational and Applied Mathematics, in agreement with the publisher, hereby retract this article and apologize for any inconvenience this may cause. This article has been retracted: please see Elsevier Policy on Article Withdrawal (http://www.elsevier.com/locate/withdrawalpolicy). This article has been retracted at the request of the Editor-in-Chief. The Editor-in-Chief of the Journal of Computational and Applied Mathematics has found that the scientific content of "Solution of nonlinear Fredholm integro-differential equations using a hybrid of block pulse functions and normalized Bernstein polynomials" by S.H. Behiry, Journal of Computational and Applied Mathematics, Volume 260 (2014), pages 258-265, was previously published in the journal Abstract and Applied Analysis as "Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials", Volume 2013 (2013), Article ID 416757, 8 pages (http://dx.doi.org/10.1155/2013/416757). Double submission and publication of an article represents a serious violation of publishing ethics, and as such this article represents a severe abuse of the scientific publishing system. The Editor-in-Chief of the Journal of Computational and Applied Mathematics, in agreement with the publisher, hereby retract this article and apologize for any inconvenience this may cause. |
| Author | Behiry, S.H. |
| Author_xml | – sequence: 1 givenname: S.H. surname: Behiry fullname: Behiry, S.H. email: salah_behiry@hotmail.com organization: General Required Courses Department, Jeddah Community College, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
| BookMark | eNp9kc1uEzEUhS1UJNLCA7Dzks0Mvpkfj2FVQgpIlZBK9pbHvm4dPHZqz1QK78H74hBWLLo6m_N90tG5JBchBiTkLbAaGPTv97VWU71m0NRM1KzpX5AVDFxUwPlwQVas4bxi7Zq_Ipc57xljvYB2RX7fbXd315vd9vMH-iP6ZXYx0Ghp0XsXUCV6k9A8RD9RF2a8T7EyzlpMGGanPMXHRZ2YTJfswj1V9OE4JmdOjtFH_ZMeFp-R2iXoc08FU-xpUt79QkM_YQp5RhfoIfpjiFOx5tfkpS2Bb_7lFdndbHebr9Xt9y_fNte3lQbeQQWd1ePQdy3rjTDWMNsLxmFQHQyA3TgCCtG1PVhh-TCybm26XrVtZxHGRjdX5N1Ze0jxccE8y8lljd6rgHHJEni_ZqI4oVT5uapTzDmhldrNf5fPSTkvgcnTD3Ivyw_y9INkQpYfCgn_kYfkJpWOzzIfzwyW8U8Ok8zaYdBoXEI9SxPdM_Qf7V6lSA |
| CitedBy_id | crossref_primary_10_1007_s40995_024_01654_4 crossref_primary_10_1007_s11071_019_05095_2 crossref_primary_10_1016_j_amc_2017_01_013 crossref_primary_10_1007_s00366_021_01422_7 crossref_primary_10_1007_s11075_015_9990_9 crossref_primary_10_1016_j_jcp_2014_10_060 crossref_primary_10_1080_00207160_2019_1586891 crossref_primary_10_1016_j_cnsns_2020_105346 crossref_primary_10_1186_s13662_015_0572_x crossref_primary_10_1007_s40096_020_00370_5 crossref_primary_10_1002_mma_8358 crossref_primary_10_1016_j_joems_2014_05_003 crossref_primary_10_1016_j_cam_2015_06_020 crossref_primary_10_1016_j_cam_2018_06_002 crossref_primary_10_1016_j_cam_2019_112352 crossref_primary_10_1007_s00366_022_01627_4 crossref_primary_10_1016_j_cam_2016_01_009 crossref_primary_10_1186_s13662_020_02591_3 crossref_primary_10_1007_s40314_017_0455_8 crossref_primary_10_1002_num_22411 crossref_primary_10_1007_s40096_020_00336_7 |
| Cites_doi | 10.17485/ijst/2012/v5i2.8 10.1016/j.apnum.2005.04.020 10.1155/MPE/2006/96184 10.1108/09615531211188784 10.1016/j.amc.2012.06.020 10.1016/j.camwa.2011.03.055 10.1016/j.cnsns.2011.04.023 10.1080/00207160701405436 10.1017/S0004972711002838 |
| ContentType | Journal Article |
| Copyright | 2013 Elsevier B.V. |
| Copyright_xml | – notice: 2013 Elsevier B.V. |
| DBID | 6I. AAFTH AAYXX CITATION 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| DOI | 10.1016/j.cam.2013.09.036 |
| DatabaseName | ScienceDirect Open Access Titles Elsevier:ScienceDirect:Open Access CrossRef Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Civil Engineering Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Civil Engineering Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1879-1778 |
| EndPage | 265 |
| ExternalDocumentID | 10_1016_j_cam_2013_09_036 S0377042713004913 |
| GroupedDBID | --K --M -~X .~1 0R~ 1B1 1RT 1~. 1~5 29K 4.4 457 4G. 5GY 5VS 6I. 7-5 71M 8P~ 9JN AABNK AACTN AAEDT AAEDW AAFTH AAFWJ AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO ABAOU ABEFU ABFNM ABJNI ABMAC ABTAH ABVKL ABXDB ABYKQ ACAZW ACDAQ ACGFS ACRLP ADBBV ADEZE ADMUD AEBSH AEKER AENEX AEXQZ AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AIEXJ AIGVJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ARUGR ASPBG AVWKF AXJTR AZFZN BKOJK BLXMC CS3 D-I DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q G8K GBLVA HVGLF HZ~ IHE IXB J1W KOM LG9 M26 M41 MHUIS MO0 N9A NCXOZ NHB O-L O9- OAUVE OK1 OZT P-8 P-9 P2P PC. Q38 R2- RIG RNS ROL RPZ SDF SDG SDP SES SEW SPC SPCBC SSW SSZ T5K TN5 UPT WUQ XPP YQT ZMT ZY4 ~02 ~G- 9DU AATTM AAXKI AAYWO AAYXX ABDPE ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO ADVLN AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| ID | FETCH-LOGICAL-c1751-15fcb865406d9dfd0f690718a5181e5bb1e995461f9f78b052d56a445fe1b3c3 |
| ISSN | 0377-0427 |
| IngestDate | Mon Sep 29 05:41:17 EDT 2025 Tue Nov 18 22:19:11 EST 2025 Sat Nov 29 06:39:00 EST 2025 Fri Feb 23 02:27:49 EST 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Language | English |
| License | http://www.elsevier.com/open-access/userlicense/1.0 |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c1751-15fcb865406d9dfd0f690718a5181e5bb1e995461f9f78b052d56a445fe1b3c3 |
| Notes | retraction ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| OpenAccessLink | https://dx.doi.org/10.1016/j.cam.2013.09.036 |
| PQID | 1762096901 |
| PQPubID | 23500 |
| PageCount | 8 |
| ParticipantIDs | proquest_miscellaneous_1762096901 crossref_citationtrail_10_1016_j_cam_2013_09_036 crossref_primary_10_1016_j_cam_2013_09_036 elsevier_sciencedirect_doi_10_1016_j_cam_2013_09_036 |
| PublicationCentury | 2000 |
| PublicationDate | April 2014 2014-04-00 20140401 |
| PublicationDateYYYYMMDD | 2014-04-01 |
| PublicationDate_xml | – month: 04 year: 2014 text: April 2014 |
| PublicationDecade | 2010 |
| PublicationTitle | Journal of computational and applied mathematics |
| PublicationYear | 2014 |
| Publisher | Elsevier B.V |
| Publisher_xml | – name: Elsevier B.V |
| References | Behiry (10.1016/j.cam.2013.09.036_br000020) 2002; 11 Jalaei (10.1016/j.cam.2013.09.036_br000090) 2010; 4 Dehghan (10.1016/j.cam.2013.09.036_br000005) 2008; 85 Behzadi (10.1016/j.cam.2013.09.036_br000040) 2012; 2 Behiry (10.1016/j.cam.2013.09.036_br000045) 2012; 4 Maleknejad (10.1016/j.cam.2013.09.036_br000075) 2012; 17 Lackiewicz (10.1016/j.cam.2013.09.036_br000010) 2006; 56 Ordokhani (10.1016/j.cam.2013.09.036_br000030) 2010; 5 Maleknejad (10.1016/j.cam.2013.09.036_br000050) 2011; 61 Ordokhani (10.1016/j.cam.2013.09.036_br000085) 2011; 1 Ezzati (10.1016/j.cam.2013.09.036_br000055) 2012; 5 Jiang (10.1016/j.cam.2013.09.036_br000065) 1992 Tachev (10.1016/j.cam.2013.09.036_br000080) 2012; 85 Bhrawy (10.1016/j.cam.2013.09.036_br000060) 2012; 219 Yousefi (10.1016/j.cam.2013.09.036_br000070) 2012; 22 Islam (10.1016/j.cam.2013.09.036_br000025) 2013 Lakestani (10.1016/j.cam.2013.09.036_br000015) 2006; 1 Yeganeh (10.1016/j.cam.2013.09.036_br000035) 2012; 7 |
| References_xml | – volume: 5 start-page: 2060 issue: 2 year: 2012 ident: 10.1016/j.cam.2013.09.036_br000055 article-title: Application of Chebyshev polynomials for solving nonlinear Volterra–Fredholm integral equations system and convergence analysis publication-title: Indian J. Sci. Technol. doi: 10.17485/ijst/2012/v5i2.8 – year: 1992 ident: 10.1016/j.cam.2013.09.036_br000065 – year: 2013 ident: 10.1016/j.cam.2013.09.036_br000025 article-title: A new approach for numerical solution of integro-differential equations via Haar wavelets publication-title: Int. J. Comput. Math. – volume: 56 start-page: 423 year: 2006 ident: 10.1016/j.cam.2013.09.036_br000010 article-title: Numerical solution of a Fredholm integro-differential equation modeling neural networks publication-title: Appl. Numer. Math. doi: 10.1016/j.apnum.2005.04.020 – volume: 1 start-page: 1 year: 2006 ident: 10.1016/j.cam.2013.09.036_br000015 article-title: Semiorthogonal spline wavelets approximation for Fredholm integro-differential equations publication-title: Math. Probl. Eng. doi: 10.1155/MPE/2006/96184 – volume: 22 start-page: 39 issue: 1 year: 2012 ident: 10.1016/j.cam.2013.09.036_br000070 article-title: Ritz–Galerkin method with Bernstein polynomial basis for finding the product solution form of heat equation with non-classic boundary conditions publication-title: Internat. J. Numer. Methods Heat Fluid Flow doi: 10.1108/09615531211188784 – volume: 5 start-page: 1055 issue: 22 year: 2010 ident: 10.1016/j.cam.2013.09.036_br000030 article-title: An application of Walsh functions for Fredholm–Hammerstein integro-differential equations publication-title: Int. J. Contemp. Math. Sci. – volume: 219 start-page: 482 year: 2012 ident: 10.1016/j.cam.2013.09.036_br000060 article-title: A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2012.06.020 – volume: 4 start-page: 5508 issue: 11 year: 2010 ident: 10.1016/j.cam.2013.09.036_br000090 article-title: Development of the sinc method for nonlinear integro-differential equations publication-title: Aust. J. Basic Appl. Sci. – volume: 61 start-page: 2821 year: 2011 ident: 10.1016/j.cam.2013.09.036_br000050 article-title: Hybrid Legendre polynomials and block-pulse functions approach for nonlinear Volterra–Fredholm integro-differential equations publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2011.03.055 – volume: 17 start-page: 52 year: 2012 ident: 10.1016/j.cam.2013.09.036_br000075 article-title: Computational method based on Bernstein operational matrices for nonlinear Volterra–Fredholm–Hammerstein integral equations publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2011.04.023 – volume: 7 start-page: 151 issue: 2 year: 2012 ident: 10.1016/j.cam.2013.09.036_br000035 article-title: A sinc-collocation method for second-order boundary value problems of nonlinear integro-differential equation publication-title: J. Inf. Comput. Sci. – volume: 4 start-page: 581 issue: 8 year: 2012 ident: 10.1016/j.cam.2013.09.036_br000045 article-title: Solving high-order nonlinear Volterra–Fredholm integro-differential equations by differential transform method publication-title: Nat. Sci. – volume: 1 start-page: 13 issue: 2 year: 2011 ident: 10.1016/j.cam.2013.09.036_br000085 article-title: Application of the Bernstein polynomials for solving the nonlinear Fredholm integro-differential equations publication-title: J. Appl. Math. Bioinform. – volume: 85 start-page: 123 issue: 1 year: 2008 ident: 10.1016/j.cam.2013.09.036_br000005 article-title: Chebyshev finite difference for Fredholm integro-differential equation publication-title: Int. J. Comput. Math. doi: 10.1080/00207160701405436 – volume: 85 start-page: 353 issue: 3 year: 2012 ident: 10.1016/j.cam.2013.09.036_br000080 article-title: Pointwise approximation by Bernstein polynomials publication-title: Bull. Aust. Math. Soc. doi: 10.1017/S0004972711002838 – volume: 2 start-page: 127 issue: 2 year: 2012 ident: 10.1016/j.cam.2013.09.036_br000040 article-title: Application of homotopy analysis method for solving a class of nonlinear Volterra–Fredholm integro-differential equations publication-title: J. Appl. Anal. Comput. – volume: 11 start-page: 27 issue: 1 year: 2002 ident: 10.1016/j.cam.2013.09.036_br000020 article-title: Wavelet methods for the numerical solution of Fredholm integro-deferential equations publication-title: Int. J. Appl. Math. |
| SSID | ssj0006914 |
| Score | 2.0474598 |
| SecondaryResourceType | retracted_publication |
| Snippet | This article has been retracted: please see Elsevier Policy on Article Withdrawal (http://www.elsevier.com/locate/withdrawalpolicy).
This article has been... This article has been retracted: please see Elsevier Policy on Article Withdrawal (http://www.elsevier.com/locate/withdrawalpolicy). This article has been... |
| SourceID | proquest crossref elsevier |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 258 |
| SubjectTerms | Blocking Computation Ethics Mathematical analysis Mathematical models Nonlinearity Polynomials Scientific papers |
| Title | RETRACTED: Solution of nonlinear Fredholm integro-differential equations using a hybrid of block pulse functions and normalized Bernstein polynomials |
| URI | https://dx.doi.org/10.1016/j.cam.2013.09.036 https://www.proquest.com/docview/1762096901 |
| Volume | 260 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1879-1778 dateEnd: 20180131 omitProxy: false ssIdentifier: ssj0006914 issn: 0377-0427 databaseCode: AIEXJ dateStart: 19950220 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3db9MwELeqjgd4QHyK8SUj8USVKW6S2uatTEUDwYS2CvXNihNH6whpaZtp4_9A4s_lzo7TqmMTIPESVVHiOrlf7n53Pt8R8lLoPnwHRRFwcL3AQYlYII2MApGDsS7y2OS2HdDnD_zwUEwm8lOn89PvhTkreVWJ83M5_6-ihnMgbNw6-xfibgeFE_AbhA5HEDsc_0jwR6Px0XAfFBI6-z7qZfM1XFWMdAFs1eQYDW2KRcwC3yZlhfFz861u8uNqG0hIeycXuK8Lx9Bg-7705jUY1B6aRHcdBt8rJL_l9DsQ2DdmAaTTYH76rLzAfc9pubyCBWe2q4SPSNrKsQ0v_toWlF1H8s3J1C37H-8d7G0GLNhmnouNol3aSeN2b3EeYN8PZ5ecMhZcBoy7Fj9eW_dd-wGvb13d98Z0913biUtWwQUoTsHjx9oDLHKVbbcqcFubfozzwGngKl8ssR3yTp8nUnTJzvDdaPK-tfID6erG-3n7FXObO7j1R1dxni3rbynN-A653UiBDh2G7pKOqe6RWx_X7_0--dGi6TX1WKKzgrZYoh5L9HdYoi2WqMUSTanDEo5hsUQtlmiLJQoQoGss0RZLdANLD8j47Wi8fxA0nTyCDOgpC1hSZFoMwDsY5DIv8rDAoAwTaQIE0yRaM4N1CUE7yIILHSZ9UBVpHCeFYTrKooekC89lHhEqRGqyXBdmEIpYcuyTpzU4_WBWYq3jcJeE_lWrrKlyj81WSuXTGU8VSEehdFQoFUhnl7xqb5m7Ei_XXRx7-amGozruqQBs1932wstagf7GRbm0MrN6qRiwkVBiW7jH_zb0E3Jz_ZU9Jd3VojbPyI3sbDVdLp43sP0F97rF_g |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=RETRACTED%3A+Solution+of+nonlinear+Fredholm+integro-differential+equations+using+a+hybrid+of+block+pulse+functions+and+normalized+Bernstein+polynomials&rft.jtitle=Journal+of+computational+and+applied+mathematics&rft.au=Behiry%2C+S.H.&rft.date=2014-04-01&rft.pub=Elsevier+B.V&rft.issn=0377-0427&rft.eissn=1879-1778&rft.volume=260&rft.spage=258&rft.epage=265&rft_id=info:doi/10.1016%2Fj.cam.2013.09.036&rft.externalDocID=S0377042713004913 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0377-0427&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0377-0427&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0377-0427&client=summon |