{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T12:40:23Z","timestamp":1773405623163,"version":"3.50.1"},"reference-count":23,"publisher":"Wiley","license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004054","name":"King Abdulaziz University of Saudi Arabia","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004054","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2016]]},"abstract":"<jats:p>The variational homotopy perturbation method VHPM is used for solving<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:math>-dimensional Burgers\u2019 system. Some examples are examined to validate that the method reduced the calculation size, treating the difficulty of nonlinear term and the accuracy.<\/jats:p>","DOI":"10.1155\/2016\/4146323","type":"journal-article","created":{"date-parts":[[2016,4,19]],"date-time":"2016-04-19T13:49:35Z","timestamp":1461073775000},"page":"1-6","source":"Crossref","is-referenced-by-count":6,"title":["The Variational Homotopy Perturbation Method for Solving<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>n<\/mml:mi><mml:mo>\u00d7<\/mml:mo><mml:mi>n<\/mml:mi><mml:mo stretchy=\"false\">)<\/mml:mo><mml:mo>+<\/mml:mo><mml:mn fontstyle=\"italic\">1<\/mml:mn><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:math>Dimensional Burgers\u2019 Equations"],"prefix":"10.1155","volume":"2016","author":[{"given":"F. A.","family":"Hendi","sequence":"first","affiliation":[{"name":"Department of Mathematics, King Abdulaziz University, Jeddah 21442, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B. S.","family":"Kashkari","sequence":"additional","affiliation":[{"name":"Department of Mathematics, King Abdulaziz University, Jeddah 21442, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. A.","family":"Alderremy","sequence":"additional","affiliation":[{"name":"Department of Mathematics, King Khalid University, Abha 61321, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"issue":"1","key":"1","first-page":"30","volume":"20","year":"1998","journal-title":"Mechanical Application"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/s0020-7462(98)00048-1"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2006.07.009"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(99)00018-3"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-7462(98)00085-7"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(01)00312-5"},{"issue":"1","key":"7","first-page":"68","volume":"6","year":"2015","journal-title":"TWMS Journal of Pure and Applied Mathematics"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2004.01.032"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.enganabound.2007.08.011"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2004.11.032"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2006.12.059"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2006.07.018"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2008.12.006"},{"key":"14","year":"2012"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-25132-0"},{"issue":"3","key":"16","first-page":"2033","volume":"2","year":"2012","journal-title":"International Journal of Engineering Research and Applications"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.asej.2013.10.004"},{"issue":"27","key":"18","first-page":"131","volume":"2","year":"2014","journal-title":"Journal of Science and Arts"},{"issue":"2","key":"19","first-page":"188","volume":"9","year":"2010","journal-title":"International Journal of Nonlinear Science"},{"issue":"4","key":"20","doi-asserted-by":"crossref","first-page":"362","DOI":"10.22436\/jmcs.09.04.12","volume":"9","year":"2014","journal-title":"The Journal of Mathematics and Computer Science"},{"issue":"2","key":"21","first-page":"541","volume":"9","year":"2014","journal-title":"Applications & Applied Mathematics"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2015.09.033"},{"key":"23","year":"2013"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2016\/4146323.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2016\/4146323.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2016\/4146323.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,6]],"date-time":"2019-09-06T17:25:55Z","timestamp":1567790755000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2016\/4146323\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"references-count":23,"alternative-id":["4146323","4146323"],"URL":"https:\/\/doi.org\/10.1155\/2016\/4146323","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016]]}}}