{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:48:12Z","timestamp":1753886892371,"version":"3.41.2"},"reference-count":16,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,2,12]],"date-time":"2012-02-12T00:00:00Z","timestamp":1329004800000},"content-version":"vor","delay-in-days":42,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["40806011"],"award-info":[{"award-number":["40806011"]}],"id":[{"id":"10.13039\/501100001809","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>A numerical method to solve Lane\u2010Emden equations as singular initial value problems is presented in this work. This method is based on the replacement of unknown functions through a truncated series of hybrid of block\u2010pulse functions and Chebyshev polynomials. The collocation method transforms the differential equation into a system of algebraic equations. It also has application in a wide area of differential equations. Corresponding numerical examples are presented to demonstrate the accuracy of the proposed method.<\/jats:p>","DOI":"10.1155\/2012\/316534","type":"journal-article","created":{"date-parts":[[2012,2,12]],"date-time":"2012-02-12T21:01:25Z","timestamp":1329080485000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["A Numerical Method for Lane\u2010Emden Equations Using Hybrid Functions and the Collocation Method"],"prefix":"10.1155","volume":"2012","author":[{"given":"Changqing","family":"Yang","sequence":"first","affiliation":[]},{"given":"Jianhua","family":"Hou","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,2,12]]},"reference":[{"volume-title":"Introduction to Study of Stellar Structure","year":"1967","author":"Chandrasekhr S.","key":"e_1_2_8_1_2"},{"volume-title":"Introduction to Nonlinear Differential and Integral Equations","year":"1962","author":"Davis H. T.","key":"e_1_2_8_2_2"},{"volume-title":"The Emission of Electricity from Hot Bodies","year":"1921","author":"Richardson O. U.","key":"e_1_2_8_3_2"},{"key":"e_1_2_8_4_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.530005"},{"key":"e_1_2_8_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(99)00223-4"},{"key":"e_1_2_8_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(01)00021-2"},{"key":"e_1_2_8_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2006.11.018"},{"key":"e_1_2_8_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.newast.2007.06.012"},{"key":"e_1_2_8_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2006.02.031"},{"key":"e_1_2_8_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cpc.2010.02.018"},{"key":"e_1_2_8_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.07.056"},{"key":"e_1_2_8_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2011.04.084"},{"key":"e_1_2_8_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.01.052"},{"key":"e_1_2_8_14_2","doi-asserted-by":"publisher","DOI":"10.1155\/S1024123X00001265"},{"key":"e_1_2_8_15_2","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-84108-8","volume-title":"Spectral Methods on Fluid Dynamics","author":"Canuto C.","year":"1988"},{"key":"e_1_2_8_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2003.10.046"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/316534.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/316534.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/316534","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T07:00:25Z","timestamp":1718089225000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/316534"}},"subtitle":[],"editor":[{"given":"Song","family":"Cen","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/316534"],"URL":"https:\/\/doi.org\/10.1155\/2012\/316534","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":"2011-09-26","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-11-18","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-02-12","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"316534"}}