{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:13:41Z","timestamp":1753881221740,"version":"3.41.2"},"reference-count":23,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,7,10]],"date-time":"2012-07-10T00:00:00Z","timestamp":1341878400000},"content-version":"vor","delay-in-days":191,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100003725","name":"National Research Foundation of Korea","doi-asserted-by":"publisher","award":["2012-0004716"],"award-info":[{"award-number":["2012-0004716"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"publisher"}]}],"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>We propose an iterative method for solving the Falkner\u2010Skan equation. The method provides approximate analytical solutions which consist of coefficients of the previous iterate solution. By some examples, we show that the presented method with a small number of iterations is competitive with the existing method such as Adomian decomposition method. Furthermore, to improve the accuracy of the proposed method, we suggest an efficient correction method. In practice, for some examples one can observe that the correction method results in highly improved approximate solutions.<\/jats:p>","DOI":"10.1155\/2012\/170802","type":"journal-article","created":{"date-parts":[[2012,7,10]],"date-time":"2012-07-10T21:45:27Z","timestamp":1341956727000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["New Approximate Analytical Solutions of the Falkner\u2010Skan Equation"],"prefix":"10.1155","volume":"2012","author":[{"given":"Beong In","family":"Yun","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,7,10]]},"reference":[{"key":"e_1_2_7_1_2","unstructured":"FinchS. Prandtl-Blasius flow 2010 http:\/\/algo.inria.fr\/csolve\/bla.pdf."},{"key":"e_1_2_7_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01176954"},{"key":"e_1_2_7_3_2","doi-asserted-by":"publisher","DOI":"10.1137\/0122031"},{"key":"e_1_2_7_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00039325"},{"volume-title":"Ordinary Differential Equations","year":"1964","author":"Hartman P.","key":"e_1_2_7_5_2"},{"key":"e_1_2_7_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(88)90170-9"},{"key":"e_1_2_7_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-9659(98)00046-9"},{"key":"e_1_2_7_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2007.11.002"},{"key":"e_1_2_7_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.11.001"},{"key":"e_1_2_7_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.08.043"},{"key":"e_1_2_7_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/S1007-5704(98)90046-6"},{"key":"e_1_2_7_12_2","doi-asserted-by":"publisher","DOI":"10.1515\/IJNSNS.2000.1.1.51"},{"key":"e_1_2_7_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(02)00189-3"},{"key":"e_1_2_7_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01351467"},{"key":"e_1_2_7_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2006.10.009"},{"key":"e_1_2_7_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2004.12.017"},{"key":"e_1_2_7_17_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112099004292"},{"key":"e_1_2_7_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-7462(98)00056-0"},{"key":"e_1_2_7_19_2","doi-asserted-by":"publisher","DOI":"10.1155\/2011\/925649"},{"key":"e_1_2_7_20_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100019575"},{"key":"e_1_2_7_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2005.10.016"},{"key":"e_1_2_7_22_2","doi-asserted-by":"publisher","DOI":"10.1080\/10586458.1999.10504626"},{"key":"e_1_2_7_23_2","doi-asserted-by":"publisher","DOI":"10.1137\/070681594"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/170802.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/170802.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/170802","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T06:37:36Z","timestamp":1718087856000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/170802"}},"subtitle":[],"editor":[{"given":"Chein-Shan","family":"Liu","sequence":"additional","affiliation":[]}],"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\/170802"],"URL":"https:\/\/doi.org\/10.1155\/2012\/170802","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":"2012-04-09","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-05-25","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-07-10","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"170802"}}