Application of sextic B-spline collocation method for solving inverse the modified Kawahara equation
In this work, the nonlinear inverse modified Kawara equation is studied. The sextic B-spline method is used for numerical treatment for this equation. We also discuss the stability and convergence analysis for these equations. The accuracy and effectiveness of the method is presented in a numerical...
Gespeichert in:
Veröffentlicht in: | Indian journal of pure and applied mathematics 2023-06, Vol.54 (2), p.649-662 |
---|---|
Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 662 |
---|---|
container_issue | 2 |
container_start_page | 649 |
container_title | Indian journal of pure and applied mathematics |
container_volume | 54 |
creator | Torabi, Fateme Pourgholi, Reza |
description | In this work, the nonlinear inverse modified Kawara equation is studied. The sextic B-spline method is used for numerical treatment for this equation. We also discuss the stability and convergence analysis for these equations. The accuracy and effectiveness of the method is presented in a numerical example. |
doi_str_mv | 10.1007/s13226-022-00283-0 |
format | Article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2813001349</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2813001349</sourcerecordid><originalsourceid>FETCH-LOGICAL-c270t-9e72902e2ba2a811abf8f7e8f6e36db08e9cc1ec26b70eb1500ff24128fc2b453</originalsourceid><addsrcrecordid>eNp9kE1PwzAMhiMEEmPwBzhF4hxwkn6kxzHxJSZxgXOUps7WqWu6pBvw7ynrJG6cbNnvY0sPIdccbjlAfhe5FCJjIAQDEEoyOCETKPKU5UmWng498IKlqVLn5CLGNUAmoSgmpJp1XVNb09e-pd7RiF99bek9i8O4RWp90_jjeoP9ylfU-UCjb_Z1u6R1u8cQkfYrpBtf1a7Gir6aT7MywVDc7g7kJTlzpol4daxT8vH48D5_Zou3p5f5bMGsyKFnBeaiAIGiNMIozk3plMtRuQxlVpWgsLCWoxVZmQOWPAVwTiRcKGdFmaRySm7Gu13w2x3GXq_9LrTDSy0Ul4MDmRRDSowpG3yMAZ3uQr0x4Vtz0L829WhTDzb1waaGAZIjFIdwu8Twd_of6geyjXkf</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2813001349</pqid></control><display><type>article</type><title>Application of sextic B-spline collocation method for solving inverse the modified Kawahara equation</title><source>EZB-FREE-00999 freely available EZB journals</source><source>SpringerLink Journals - AutoHoldings</source><creator>Torabi, Fateme ; Pourgholi, Reza</creator><creatorcontrib>Torabi, Fateme ; Pourgholi, Reza</creatorcontrib><description>In this work, the nonlinear inverse modified Kawara equation is studied. The sextic B-spline method is used for numerical treatment for this equation. We also discuss the stability and convergence analysis for these equations. The accuracy and effectiveness of the method is presented in a numerical example.</description><identifier>ISSN: 0019-5588</identifier><identifier>EISSN: 0975-7465</identifier><identifier>DOI: 10.1007/s13226-022-00283-0</identifier><language>eng</language><publisher>New Delhi: Indian National Science Academy</publisher><subject>Applications of Mathematics ; Collocation methods ; Mathematics ; Mathematics and Statistics ; Numerical Analysis ; Original Research ; Stability analysis</subject><ispartof>Indian journal of pure and applied mathematics, 2023-06, Vol.54 (2), p.649-662</ispartof><rights>The Indian National Science Academy 2022</rights><rights>The Indian National Science Academy 2022.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c270t-9e72902e2ba2a811abf8f7e8f6e36db08e9cc1ec26b70eb1500ff24128fc2b453</cites><orcidid>0000-0003-4111-5130</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s13226-022-00283-0$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s13226-022-00283-0$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Torabi, Fateme</creatorcontrib><creatorcontrib>Pourgholi, Reza</creatorcontrib><title>Application of sextic B-spline collocation method for solving inverse the modified Kawahara equation</title><title>Indian journal of pure and applied mathematics</title><addtitle>Indian J Pure Appl Math</addtitle><description>In this work, the nonlinear inverse modified Kawara equation is studied. The sextic B-spline method is used for numerical treatment for this equation. We also discuss the stability and convergence analysis for these equations. The accuracy and effectiveness of the method is presented in a numerical example.</description><subject>Applications of Mathematics</subject><subject>Collocation methods</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Numerical Analysis</subject><subject>Original Research</subject><subject>Stability analysis</subject><issn>0019-5588</issn><issn>0975-7465</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9kE1PwzAMhiMEEmPwBzhF4hxwkn6kxzHxJSZxgXOUps7WqWu6pBvw7ynrJG6cbNnvY0sPIdccbjlAfhe5FCJjIAQDEEoyOCETKPKU5UmWng498IKlqVLn5CLGNUAmoSgmpJp1XVNb09e-pd7RiF99bek9i8O4RWp90_jjeoP9ylfU-UCjb_Z1u6R1u8cQkfYrpBtf1a7Gir6aT7MywVDc7g7kJTlzpol4daxT8vH48D5_Zou3p5f5bMGsyKFnBeaiAIGiNMIozk3plMtRuQxlVpWgsLCWoxVZmQOWPAVwTiRcKGdFmaRySm7Gu13w2x3GXq_9LrTDSy0Ul4MDmRRDSowpG3yMAZ3uQr0x4Vtz0L829WhTDzb1waaGAZIjFIdwu8Twd_of6geyjXkf</recordid><startdate>20230601</startdate><enddate>20230601</enddate><creator>Torabi, Fateme</creator><creator>Pourgholi, Reza</creator><general>Indian National Science Academy</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0003-4111-5130</orcidid></search><sort><creationdate>20230601</creationdate><title>Application of sextic B-spline collocation method for solving inverse the modified Kawahara equation</title><author>Torabi, Fateme ; Pourgholi, Reza</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c270t-9e72902e2ba2a811abf8f7e8f6e36db08e9cc1ec26b70eb1500ff24128fc2b453</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Applications of Mathematics</topic><topic>Collocation methods</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Numerical Analysis</topic><topic>Original Research</topic><topic>Stability analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Torabi, Fateme</creatorcontrib><creatorcontrib>Pourgholi, Reza</creatorcontrib><collection>CrossRef</collection><jtitle>Indian journal of pure and applied mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Torabi, Fateme</au><au>Pourgholi, Reza</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Application of sextic B-spline collocation method for solving inverse the modified Kawahara equation</atitle><jtitle>Indian journal of pure and applied mathematics</jtitle><stitle>Indian J Pure Appl Math</stitle><date>2023-06-01</date><risdate>2023</risdate><volume>54</volume><issue>2</issue><spage>649</spage><epage>662</epage><pages>649-662</pages><issn>0019-5588</issn><eissn>0975-7465</eissn><abstract>In this work, the nonlinear inverse modified Kawara equation is studied. The sextic B-spline method is used for numerical treatment for this equation. We also discuss the stability and convergence analysis for these equations. The accuracy and effectiveness of the method is presented in a numerical example.</abstract><cop>New Delhi</cop><pub>Indian National Science Academy</pub><doi>10.1007/s13226-022-00283-0</doi><tpages>14</tpages><orcidid>https://orcid.org/0000-0003-4111-5130</orcidid></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0019-5588 |
ispartof | Indian journal of pure and applied mathematics, 2023-06, Vol.54 (2), p.649-662 |
issn | 0019-5588 0975-7465 |
language | eng |
recordid | cdi_proquest_journals_2813001349 |
source | EZB-FREE-00999 freely available EZB journals; SpringerLink Journals - AutoHoldings |
subjects | Applications of Mathematics Collocation methods Mathematics Mathematics and Statistics Numerical Analysis Original Research Stability analysis |
title | Application of sextic B-spline collocation method for solving inverse the modified Kawahara equation |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-24T20%3A25%3A08IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Application%20of%20sextic%20B-spline%20collocation%20method%20for%20solving%20inverse%20the%20modified%20Kawahara%20equation&rft.jtitle=Indian%20journal%20of%20pure%20and%20applied%20mathematics&rft.au=Torabi,%20Fateme&rft.date=2023-06-01&rft.volume=54&rft.issue=2&rft.spage=649&rft.epage=662&rft.pages=649-662&rft.issn=0019-5588&rft.eissn=0975-7465&rft_id=info:doi/10.1007/s13226-022-00283-0&rft_dat=%3Cproquest_cross%3E2813001349%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2813001349&rft_id=info:pmid/&rfr_iscdi=true |