{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,3]],"date-time":"2026-05-03T07:40:29Z","timestamp":1777794029042,"version":"3.51.4"},"reference-count":10,"publisher":"Hindawi Limited","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":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>Two reliable techniques, Haar wavelet method and optimal homotopy asymptotic method (OHAM), are presented. Haar wavelet method is an efficient numerical method for the numerical solution of arbitrary order partial differential equations like Burgers-Fisher and generalized Fisher equations. The approximate solutions thus obtained for the fractional Burgers-Fisher and generalized Fisher equations are compared with the optimal homotopy asymptotic method as well as with the exact solutions. Comparison between the obtained solutions with the exact solutions exhibits that both the featured methods are effective and efficient in solving nonlinear problems. The obtained results justify the applicability of the proposed methods for fractional order Burgers-Fisher and generalized Fisher\u2019s equations.<\/jats:p>","DOI":"10.1155\/2014\/682910","type":"journal-article","created":{"date-parts":[[2014,5,8]],"date-time":"2014-05-08T17:21:33Z","timestamp":1399569693000},"page":"1-16","source":"Crossref","is-referenced-by-count":44,"title":["On the Solutions of Fractional Burgers-Fisher and Generalized Fisher\u2019s Equations Using Two Reliable Methods"],"prefix":"10.1155","volume":"2014","author":[{"given":"A. K.","family":"Gupta","sequence":"first","affiliation":[{"name":"Department of Mathematics, National Institute of Technology, Rourkela 769008, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S. Saha","family":"Ray","sequence":"additional","affiliation":[{"name":"Department of Mathematics, National Institute of Technology, Rourkela 769008, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"key":"1","year":"1999"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2011.11.007"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2013.07.036"},{"issue":"1","key":"4","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1049\/ip-cta:19970702","volume":"144","year":"1997","journal-title":"IEE Proceedings\u2014Control Theory and Applications"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2008.03.019"},{"issue":"3","key":"6","first-page":"201","volume":"15","year":"2011","journal-title":"Journal of the Korean Society for Industrial and Applied Mathematics"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2011.08.003"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1063\/1.3447982"},{"issue":"2","key":"9","first-page":"1","volume":"1","year":"2011","journal-title":"Journal of Fractional Calculus and Applications"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(03)00738-0"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2014\/682910.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2014\/682910.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2014\/682910.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T08:54:30Z","timestamp":1498121670000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2014\/682910\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":10,"alternative-id":["682910","682910"],"URL":"https:\/\/doi.org\/10.1155\/2014\/682910","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"value":"0161-1712","type":"print"},{"value":"1687-0425","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}