{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:54:11Z","timestamp":1753883651313,"version":"3.41.2"},"reference-count":23,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,8,7]],"date-time":"2012-08-07T00:00:00Z","timestamp":1344297600000},"content-version":"vor","delay-in-days":219,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>This paper suggests a novel modified Laplace method for removal of noise oscillation term appearing in the nonlinear equation solutions. The modified method overcomes the noise oscillation during the iteration procedure by suitable choice of an initial solution. Several examples are tested, and the obtained results suggest that this newly developed technique could lead to a promising tool and powerful improvement for many applications in differential and integral equations.<\/jats:p>","DOI":"10.1155\/2012\/387365","type":"journal-article","created":{"date-parts":[[2012,8,7]],"date-time":"2012-08-07T13:35:44Z","timestamp":1344346544000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Removal of Noise Oscillation Term Appearing in the Nonlinear Equation Solution"],"prefix":"10.1155","volume":"2012","author":[{"given":"Yasir","family":"Khan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hector","family":"V\u00e1zquez-Leal","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Luis","family":"Hernandez-Mart\u00ednez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2012,8,7]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-8289-6"},{"key":"e_1_2_6_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.07.050"},{"key":"e_1_2_6_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2005.04.036"},{"key":"e_1_2_6_4_2","doi-asserted-by":"publisher","DOI":"10.1155\/S1110757X01000183"},{"key":"e_1_2_6_5_2","doi-asserted-by":"publisher","DOI":"10.1515\/IJNSNS.2009.10.11-12.1373"},{"key":"e_1_2_6_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2005.10.005"},{"key":"e_1_2_6_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2006.12.052"},{"key":"e_1_2_6_8_2","doi-asserted-by":"publisher","DOI":"10.1108\/09615531011016948"},{"key":"e_1_2_6_9_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0219519410003836"},{"key":"e_1_2_6_10_2","doi-asserted-by":"publisher","DOI":"10.1515\/ijnsns.2011.020"},{"key":"e_1_2_6_11_2","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1016\/j.icheatmasstransfer.2011.09.005","article-title":"Application of the homotopy perturbation method for the solution of inverse heat conduction problem","volume":"39","author":"Hetmaniok E.","year":"2011","journal-title":"International Communications in Heat and Mass Transfer"},{"key":"e_1_2_6_12_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207160903477159"},{"key":"e_1_2_6_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.12.059"},{"key":"e_1_2_6_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jksus.2010.07.026"},{"key":"e_1_2_6_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2011.01.006"},{"key":"e_1_2_6_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.03.035"},{"key":"e_1_2_6_17_2","doi-asserted-by":"crossref","first-page":"974","DOI":"10.3390\/mca15050974","article-title":"Nonlinear vibration analysis of a rigid rod on a circular surface via hamiltonian approach","volume":"15","author":"Khan Y.","year":"2010","journal-title":"Mathematical and Computational Applications"},{"key":"e_1_2_6_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.06.028"},{"key":"e_1_2_6_19_2","doi-asserted-by":"publisher","DOI":"10.1134\/S0022476611010148"},{"key":"e_1_2_6_20_2","doi-asserted-by":"publisher","DOI":"10.1134\/S0036024411040145"},{"key":"e_1_2_6_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.08.022"},{"key":"e_1_2_6_22_2","doi-asserted-by":"publisher","DOI":"10.5560\/zna.2011-0036"},{"key":"e_1_2_6_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.06.034"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/387365.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/387365.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/387365","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T07:04:38Z","timestamp":1718089478000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/387365"}},"subtitle":[],"editor":[{"given":"J.","family":"Biazar","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":23,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/387365"],"URL":"https:\/\/doi.org\/10.1155\/2012\/387365","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2012-04-27","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-07-04","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-08-07","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"387365"}}