{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,6]],"date-time":"2025-12-06T04:56:29Z","timestamp":1764996989152,"version":"3.37.3"},"reference-count":22,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>An average linear finite difference scheme for the numerical solution of the initial-boundary value problem of Generalized Rosenau-KdV equation is proposed. The existence, uniqueness, and conservation for energy of the difference solution are proved by the discrete energy norm method. It is shown that the finite difference scheme is 2nd-order convergent and unconditionally stable. Numerical experiments verify that the theoretical results are right and the numerical method is efficient and reliable.<\/jats:p>","DOI":"10.1155\/2014\/202793","type":"journal-article","created":{"date-parts":[[2014,2,26]],"date-time":"2014-02-26T06:05:09Z","timestamp":1393394709000},"page":"1-9","source":"Crossref","is-referenced-by-count":10,"title":["An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation"],"prefix":"10.1155","volume":"2014","author":[{"given":"Maobo","family":"Zheng","sequence":"first","affiliation":[{"name":"Chengdu Technological University, Chengdu 610031, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2795-4093","authenticated-orcid":true,"given":"Jun","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computer Science, Yangtze Normal University, Chongqing 408100, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2007.07.031"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-9659(01)80022-7"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2003.11.025"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2004.06.011"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1088\/0031-8949\/34\/6B\/020"},{"key":"6","doi-asserted-by":"crossref","first-page":"1028","DOI":"10.1143\/PTP.79.1028","volume":"79","year":"1988","journal-title":"Progress of Theoretical Physics"},{"issue":"2","key":"7","first-page":"145","volume":"9","year":"1990","journal-title":"Matem\u00e1tica Aplicada e Computacional"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1080\/00036819408840267"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2007.11.039"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1080\/00036819808840652"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1080\/00036810108840914"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1098-2426(199811)14:6&lt;695::AID-NUM1&gt;3.3.CO;2-F"},{"issue":"1","key":"13","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1007\/BF03008946","volume":"5","year":"1998","journal-title":"The Korean Journal of Computational & Applied Mathematics"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.06.011"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/423718"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1088\/0253-6102\/55\/3\/04"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.oceaneng.2013.01.014"},{"issue":"1-2","key":"18","first-page":"3","volume":"58","year":"2013","journal-title":"Romanian Journal of Physics"},{"issue":"1","key":"19","first-page":"19","volume":"2","year":"2012","journal-title":"Fundamental Journal of Mathematical Physics"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1186\/2251-7456-6-42"},{"issue":"1","key":"24","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1515\/ijnsns-2011-0073","volume":"14","year":"2013","journal-title":"International Journal of Nonlinear Sciences and Numerical Simulation"},{"year":"1991","key":"21"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/202793.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/202793.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/202793.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,3,27]],"date-time":"2022-03-27T19:18:15Z","timestamp":1648408695000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/202793\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":22,"alternative-id":["202793","202793"],"URL":"https:\/\/doi.org\/10.1155\/2014\/202793","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}