Approximate periodic solutions for the Helmholtz–Duffing equation
Approximate periodic solutions for the Helmholtz–Duffing oscillator are obtained in this paper. He’s Energy Balance Method (HEBM) and He’s Frequency Amplitude Formulation (HFAF) are adopted as the solution methods. Oscillation natural frequencies are analytically analyzed. Error analysis is carried...
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| Veröffentlicht in: | Computers & mathematics with applications (1987) 2011-11, Vol.62 (10), p.3894-3901 |
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| container_title | Computers & mathematics with applications (1987) |
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| creator | Askari, H. Saadatnia, Z. Younesian, D. Yildirim, A. Kalami-Yazdi, M. |
| description | Approximate periodic solutions for the Helmholtz–Duffing oscillator are obtained in this paper. He’s Energy Balance Method (HEBM) and He’s Frequency Amplitude Formulation (HFAF) are adopted as the solution methods. Oscillation natural frequencies are analytically analyzed. Error analysis is carried out and accuracy of the solution methods is evaluated. |
| doi_str_mv | 10.1016/j.camwa.2011.09.042 |
| format | Article |
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He’s Energy Balance Method (HEBM) and He’s Frequency Amplitude Formulation (HFAF) are adopted as the solution methods. Oscillation natural frequencies are analytically analyzed. Error analysis is carried out and accuracy of the solution methods is evaluated.</description><subject>Approximation</subject><subject>Energy of formation</subject><subject>Error analysis</subject><subject>Helmholtz–Duffing oscillator</subject><subject>He’s Energy Balance Method</subject><subject>He’s Frequency Amplitude Formulation</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Oscillations</subject><subject>Oscillators</subject><subject>Resonant frequency</subject><issn>0898-1221</issn><issn>1873-7668</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp9kLtOwzAUhi0EEqXwBCzZmBKOL3HigaEqlyJVYoHZSp1j6iqpWzvhNvEOvCFPQkqZmc7yf7_O_xFyTiGjQOXlKjNV-1plDCjNQGUg2AEZ0bLgaSFleUhGUKoypYzRY3IS4woABGcwItPJZhP8m2urDpMNBudrZ5Lom75zfh0T60PSLTGZYdMufdN9fH9-XffWuvVzgtu-2qVOyZGtmohnf3dMnm5vHqezdP5wdz-dzFPDS-hSUTEjGXLIgYtSgGVIZV7lKpewoIrBoi6sErYQOSorai4pLATjAwSU1ZSPycW-d_h422PsdOuiwaap1uj7qJXkZa4kqCHJ90kTfIwBrd6EYWJ41xT0zphe6V9jemdMg9KDsYG62lM4jHhxGHQ0DtcGaxfQdLr27l_-B2LydZ0</recordid><startdate>20111101</startdate><enddate>20111101</enddate><creator>Askari, H.</creator><creator>Saadatnia, Z.</creator><creator>Younesian, D.</creator><creator>Yildirim, A.</creator><creator>Kalami-Yazdi, M.</creator><general>Elsevier Ltd</general><scope>6I.</scope><scope>AAFTH</scope><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>20111101</creationdate><title>Approximate periodic solutions for the Helmholtz–Duffing equation</title><author>Askari, H. ; Saadatnia, Z. ; Younesian, D. ; Yildirim, A. ; Kalami-Yazdi, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c380t-4a2c62e305034840f2e165a59560b1920bd7f94f745e9f4d3610b423c62012d13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Approximation</topic><topic>Energy of formation</topic><topic>Error analysis</topic><topic>Helmholtz–Duffing oscillator</topic><topic>He’s Energy Balance Method</topic><topic>He’s Frequency Amplitude Formulation</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Oscillations</topic><topic>Oscillators</topic><topic>Resonant frequency</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Askari, H.</creatorcontrib><creatorcontrib>Saadatnia, Z.</creatorcontrib><creatorcontrib>Younesian, D.</creatorcontrib><creatorcontrib>Yildirim, A.</creatorcontrib><creatorcontrib>Kalami-Yazdi, M.</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><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>Computers & mathematics with applications (1987)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Askari, H.</au><au>Saadatnia, Z.</au><au>Younesian, D.</au><au>Yildirim, A.</au><au>Kalami-Yazdi, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Approximate periodic solutions for the Helmholtz–Duffing equation</atitle><jtitle>Computers & mathematics with applications (1987)</jtitle><date>2011-11-01</date><risdate>2011</risdate><volume>62</volume><issue>10</issue><spage>3894</spage><epage>3901</epage><pages>3894-3901</pages><issn>0898-1221</issn><eissn>1873-7668</eissn><abstract>Approximate periodic solutions for the Helmholtz–Duffing oscillator are obtained in this paper. 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| ispartof | Computers & mathematics with applications (1987), 2011-11, Vol.62 (10), p.3894-3901 |
| issn | 0898-1221 1873-7668 |
| language | eng |
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| source | Elsevier ScienceDirect Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Approximation Energy of formation Error analysis Helmholtz–Duffing oscillator He’s Energy Balance Method He’s Frequency Amplitude Formulation Mathematical analysis Mathematical models Oscillations Oscillators Resonant frequency |
| title | Approximate periodic solutions for the Helmholtz–Duffing equation |
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