Modified homotopy analysis method for solving systems of second-order BVPs
In this paper, a new modification of the homotopy analysis method (HAM) is presented for solving systems of second-order boundary-value problems (BVPs). The main advantage of the modified HAM (MHAM) is that one can avoid the uncontrollability problems of the nonzero endpoint conditions encountered i...
Gespeichert in:
| Veröffentlicht in: | Communications in nonlinear science & numerical simulation 2009-02, Vol.14 (2), p.430-442 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 442 |
|---|---|
| container_issue | 2 |
| container_start_page | 430 |
| container_title | Communications in nonlinear science & numerical simulation |
| container_volume | 14 |
| creator | Bataineh, A. Sami Noorani, M.S.M. Hashim, I. |
| description | In this paper, a new modification of the homotopy analysis method (HAM) is presented for solving systems of second-order boundary-value problems (BVPs). The main advantage of the modified HAM (MHAM) is that one can avoid the uncontrollability problems of the nonzero endpoint conditions encountered in the standard HAM. Numerical comparisons show that the MHAM is more efficient than the standard HAM. |
| doi_str_mv | 10.1016/j.cnsns.2007.09.012 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_896190416</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S1007570407002456</els_id><sourcerecordid>896190416</sourcerecordid><originalsourceid>FETCH-LOGICAL-c366t-65d28be0c764a06a95c3779485813e4d305126f6d03f08df13a80cf2a3cfab353</originalsourceid><addsrcrecordid>eNp9kLtOxDAQACMEEs8voHEFVcI6ThynoADEUyAogNby2WvwKYkPb-6k-3sCR03llTyz0k6WHXMoOHB5Ni_sQAMVJUBTQFsAL7eyPa4alTdlU21P8_ST1w1Uu9k-0Rwmq62rvezhKbrgAzr2Gfs4xsWamcF0awrEehw_o2M-JkaxW4Xhg9GaRuyJRc8IbRxcHpPDxC7fX-gw2_GmIzz6ew-yt5vr16u7_PH59v7q4jG3Qsoxl7Ur1QzBNrIyIE1bW9E0baVqxQVWTkDNS-mlA-FBOc-FUWB9aYT1ZiZqcZCdbvYuUvxaIo26D2Sx68yAcUlatZK3UHE5kSf_kqJSqi4ln0CxAW2KRAm9XqTQm7TWHPRPYT3Xv4X1T2ENrZ4KT9b5xsLp2lXApMkGHCy6kNCO2sXwr_8N6hCFaA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>34885261</pqid></control><display><type>article</type><title>Modified homotopy analysis method for solving systems of second-order BVPs</title><source>Elsevier ScienceDirect Journals</source><creator>Bataineh, A. Sami ; Noorani, M.S.M. ; Hashim, I.</creator><creatorcontrib>Bataineh, A. Sami ; Noorani, M.S.M. ; Hashim, I.</creatorcontrib><description>In this paper, a new modification of the homotopy analysis method (HAM) is presented for solving systems of second-order boundary-value problems (BVPs). The main advantage of the modified HAM (MHAM) is that one can avoid the uncontrollability problems of the nonzero endpoint conditions encountered in the standard HAM. Numerical comparisons show that the MHAM is more efficient than the standard HAM.</description><identifier>ISSN: 1007-5704</identifier><identifier>EISSN: 1878-7274</identifier><identifier>DOI: 10.1016/j.cnsns.2007.09.012</identifier><language>eng</language><publisher>Elsevier B.V</publisher><subject>Boundary value problems ; Computer simulation ; Ham ; Homotopy analysis method ; Mathematical analysis ; Mathematical models ; Modified homotopy analysis method ; Nonlinearity</subject><ispartof>Communications in nonlinear science & numerical simulation, 2009-02, Vol.14 (2), p.430-442</ispartof><rights>2007</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c366t-65d28be0c764a06a95c3779485813e4d305126f6d03f08df13a80cf2a3cfab353</citedby><cites>FETCH-LOGICAL-c366t-65d28be0c764a06a95c3779485813e4d305126f6d03f08df13a80cf2a3cfab353</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S1007570407002456$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids></links><search><creatorcontrib>Bataineh, A. Sami</creatorcontrib><creatorcontrib>Noorani, M.S.M.</creatorcontrib><creatorcontrib>Hashim, I.</creatorcontrib><title>Modified homotopy analysis method for solving systems of second-order BVPs</title><title>Communications in nonlinear science & numerical simulation</title><description>In this paper, a new modification of the homotopy analysis method (HAM) is presented for solving systems of second-order boundary-value problems (BVPs). The main advantage of the modified HAM (MHAM) is that one can avoid the uncontrollability problems of the nonzero endpoint conditions encountered in the standard HAM. Numerical comparisons show that the MHAM is more efficient than the standard HAM.</description><subject>Boundary value problems</subject><subject>Computer simulation</subject><subject>Ham</subject><subject>Homotopy analysis method</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Modified homotopy analysis method</subject><subject>Nonlinearity</subject><issn>1007-5704</issn><issn>1878-7274</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNp9kLtOxDAQACMEEs8voHEFVcI6ThynoADEUyAogNby2WvwKYkPb-6k-3sCR03llTyz0k6WHXMoOHB5Ni_sQAMVJUBTQFsAL7eyPa4alTdlU21P8_ST1w1Uu9k-0Rwmq62rvezhKbrgAzr2Gfs4xsWamcF0awrEehw_o2M-JkaxW4Xhg9GaRuyJRc8IbRxcHpPDxC7fX-gw2_GmIzz6ew-yt5vr16u7_PH59v7q4jG3Qsoxl7Ur1QzBNrIyIE1bW9E0baVqxQVWTkDNS-mlA-FBOc-FUWB9aYT1ZiZqcZCdbvYuUvxaIo26D2Sx68yAcUlatZK3UHE5kSf_kqJSqi4ln0CxAW2KRAm9XqTQm7TWHPRPYT3Xv4X1T2ENrZ4KT9b5xsLp2lXApMkGHCy6kNCO2sXwr_8N6hCFaA</recordid><startdate>200902</startdate><enddate>200902</enddate><creator>Bataineh, A. Sami</creator><creator>Noorani, M.S.M.</creator><creator>Hashim, I.</creator><general>Elsevier B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>200902</creationdate><title>Modified homotopy analysis method for solving systems of second-order BVPs</title><author>Bataineh, A. Sami ; Noorani, M.S.M. ; Hashim, I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c366t-65d28be0c764a06a95c3779485813e4d305126f6d03f08df13a80cf2a3cfab353</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Boundary value problems</topic><topic>Computer simulation</topic><topic>Ham</topic><topic>Homotopy analysis method</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Modified homotopy analysis method</topic><topic>Nonlinearity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bataineh, A. Sami</creatorcontrib><creatorcontrib>Noorani, M.S.M.</creatorcontrib><creatorcontrib>Hashim, I.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Communications in nonlinear science & numerical simulation</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bataineh, A. Sami</au><au>Noorani, M.S.M.</au><au>Hashim, I.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Modified homotopy analysis method for solving systems of second-order BVPs</atitle><jtitle>Communications in nonlinear science & numerical simulation</jtitle><date>2009-02</date><risdate>2009</risdate><volume>14</volume><issue>2</issue><spage>430</spage><epage>442</epage><pages>430-442</pages><issn>1007-5704</issn><eissn>1878-7274</eissn><abstract>In this paper, a new modification of the homotopy analysis method (HAM) is presented for solving systems of second-order boundary-value problems (BVPs). The main advantage of the modified HAM (MHAM) is that one can avoid the uncontrollability problems of the nonzero endpoint conditions encountered in the standard HAM. Numerical comparisons show that the MHAM is more efficient than the standard HAM.</abstract><pub>Elsevier B.V</pub><doi>10.1016/j.cnsns.2007.09.012</doi><tpages>13</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1007-5704 |
| ispartof | Communications in nonlinear science & numerical simulation, 2009-02, Vol.14 (2), p.430-442 |
| issn | 1007-5704 1878-7274 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_896190416 |
| source | Elsevier ScienceDirect Journals |
| subjects | Boundary value problems Computer simulation Ham Homotopy analysis method Mathematical analysis Mathematical models Modified homotopy analysis method Nonlinearity |
| title | Modified homotopy analysis method for solving systems of second-order BVPs |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-28T15%3A43%3A56IST&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=Modified%20homotopy%20analysis%20method%20for%20solving%20systems%20of%20second-order%20BVPs&rft.jtitle=Communications%20in%20nonlinear%20science%20&%20numerical%20simulation&rft.au=Bataineh,%20A.%20Sami&rft.date=2009-02&rft.volume=14&rft.issue=2&rft.spage=430&rft.epage=442&rft.pages=430-442&rft.issn=1007-5704&rft.eissn=1878-7274&rft_id=info:doi/10.1016/j.cnsns.2007.09.012&rft_dat=%3Cproquest_cross%3E896190416%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=34885261&rft_id=info:pmid/&rft_els_id=S1007570407002456&rfr_iscdi=true |