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A new version of exact finite difference scheme for Burgers equation and Burgers-Fisher equation is proposed using the solitary wave solution. Then nonstandard finite difference schemes are constructed to solve two equations. Numerical experiments are presented to verify the accuracy and efficiency of such NSFD schemes.<\/jats:p>","DOI":"10.1155\/2014\/597926","type":"journal-article","created":{"date-parts":[[2014,1,9]],"date-time":"2014-01-09T05:55:58Z","timestamp":1389246958000},"page":"1-12","source":"Crossref","is-referenced-by-count":6,"title":["Exact Finite Difference Scheme and Nonstandard Finite Difference Scheme for Burgers and Burgers-Fisher Equations"],"prefix":"10.1155","volume":"2014","author":[{"given":"Lei","family":"Zhang","sequence":"first","affiliation":[{"name":"Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai 264209, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lisha","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai 264209, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaohua","family":"Ding","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai 264209, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/23\/3\/011"},{"volume":"17","year":"2002","series-title":"Interdisciplinary Applied Mathematics","key":"2"},{"year":"1974","series-title":"Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts","key":"3"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/0898-1221(90)90240-K"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(97)10060-1"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2008.12.006"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.2001.4240"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(03)00565-4"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2003.10.050"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2004.09.054"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2005.04.084"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.04.013"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2010.03.113"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1002\/num.1025"},{"issue":"2","key":"16","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1002\/(SICI)1098-2426(199903)15:2<201::AID-NUM5>3.0.CO;2-H","volume":"15","year":"1999","journal-title":"Numerical Methods for Partial Differential Equations"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2005.03.012"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1080\/1023619031000146931"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1080\/10236190701466439"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2007.07.015"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1080\/10236190701607669"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1080\/10236191003730563"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.2307\/2321656"},{"volume":"228","year":"2000","series-title":"Chapman & Hall\/CRC Pure and Applied Mathematics","key":"24"},{"year":"1994","key":"25"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1002\/num.1690070307"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1142\/9789812813251"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(03)80028-7"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1142\/9789812703316"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(03)00738-0"},{"key":"31","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2011.04.033"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/597926.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/597926.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/597926.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T01:38:27Z","timestamp":1498095507000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/597926\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":30,"alternative-id":["597926","597926"],"URL":"https:\/\/doi.org\/10.1155\/2014\/597926","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}