{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,16]],"date-time":"2026-01-16T07:16:24Z","timestamp":1768547784924,"version":"3.49.0"},"reference-count":31,"publisher":"Wiley","license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/100008899","name":"University of South Carolina","doi-asserted-by":"publisher","award":["176601332896"],"award-info":[{"award-number":["176601332896"]}],"id":[{"id":"10.13039\/100008899","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2015]]},"abstract":"<jats:p>A family of Enright\u2019s second derivative formulas with trigonometric basis functions is derived using multistep collocation method. The continuous schemes obtained are used to generate complementary methods. The stability properties of the methods are discussed. The methods which can be applied in predictor-corrector form are implemented in block form as simultaneous numerical integrators over nonoverlapping intervals. Numerical results obtained using the proposed block form reveal that the new methods are efficient and highly competitive with existing methods in the literature.<\/jats:p>","DOI":"10.1155\/2015\/343295","type":"journal-article","created":{"date-parts":[[2015,6,11]],"date-time":"2015-06-11T01:19:20Z","timestamp":1433985560000},"page":"1-17","source":"Crossref","is-referenced-by-count":9,"title":["A Family of Trigonometrically Fitted Enright Second Derivative Methods for Stiff and Oscillatory Initial Value Problems"],"prefix":"10.1155","volume":"2015","author":[{"given":"F. F.","family":"Ngwane","sequence":"first","affiliation":[{"name":"Department of Mathematics, USC Salkehatchie, Walterboro, SC 29488, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S. N.","family":"Jator","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Austin Peay State University, Clarksville, TN 37044, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.2307\/2006091"},{"key":"2","year":"1991"},{"key":"3","year":"1973"},{"key":"4","first-page":"69","volume":"2","year":"1965","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/2.1.83"},{"key":"7","year":"1996"},{"key":"8","first-page":"69","volume":"4","year":"1956","journal-title":"Mathematica Scandinavica"},{"key":"9","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1145\/362566.362573","volume":"14","year":"1971","journal-title":"Communications of the ACM"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1145\/321217.321223"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1145\/321250.321261"},{"key":"12","year":"2008"},{"key":"13","year":"1998"},{"key":"14","first-page":"81","volume-title":"Block implicit methods for ODEs","year":"2001"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1007\/BF03167492"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2005.12.006"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2008.03.018"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drl040"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2008.01.026"},{"key":"20","series-title":"Abhandlungen der Preussischen Akademie der Wissenschaften. Math.-Naturw","volume":"14","year":"1940"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1137\/0718003"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1137\/0711029"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2005.12.006"},{"issue":"1","key":"24","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1007\/s11075-012-9562-1","volume":"62","year":"2013","journal-title":"Numerical Algorithms"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/s0010-4655(98)00088-5"},{"key":"26","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1080\/00207169108804026","volume":"41","year":"1991","journal-title":"International Journal of Computer Mathematics"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1007\/s40314-013-0044-4"},{"issue":"4","key":"28","first-page":"543","volume":"80","year":"2012","journal-title":"International Journal of Pure and Applied Mathematics"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1007\/s11075-012-9649-8"},{"key":"30","year":"2004"},{"key":"32","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(00)00602-6"},{"key":"31","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2010.07.003"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/343295.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/343295.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/343295.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,23]],"date-time":"2017-06-23T09:26:33Z","timestamp":1498209993000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2015\/343295\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"references-count":31,"alternative-id":["343295","343295"],"URL":"https:\/\/doi.org\/10.1155\/2015\/343295","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015]]}}}