{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T18:04:39Z","timestamp":1758823479868},"reference-count":10,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"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":[[2012]]},"abstract":"<jats:p>We combine suitable arithmetic average approximations, with explicit backward Euler formula, and derive a third-order -stable derivative-free error-corrected trapezoidal rule (LSDFECT). Then, we apply LSDFECT rule to the linearized Burgers' equation with inconsistent initial and boundary conditions and test its stability and exactness. We use Mathematica 7.0 for computation.<\/jats:p>","DOI":"10.1155\/2012\/821907","type":"journal-article","created":{"date-parts":[[2012,9,30]],"date-time":"2012-09-30T22:48:30Z","timestamp":1349045310000},"page":"1-13","source":"Crossref","is-referenced-by-count":2,"title":["-Stable Derivative-Free Error-Corrected Trapezoidal Rule for Burgers' Equation with Inconsistent Initial and Boundary Conditions"],"prefix":"10.1155","volume":"2012","author":[{"given":"Lajja","family":"Verma","sequence":"first","affiliation":[{"name":"Department of Mathematics, BITS Pilani, Rajasthan, Pilani 333031, India"}]}],"member":"98","reference":[{"issue":"1","key":"2","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1017\/S0305004100023197","volume":"43","year":"1947","journal-title":"Mathematical Proceedings of the Cambridge Philosophical Society"},{"key":"3","series-title":"Interscience Tracts in Pure and Applied Mathematics","year":"1967"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1137\/0715082"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1080\/00207169908804765"},{"key":"6","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1080\/00207169408804294","volume":"52","year":"1994","journal-title":"International Journal of Computer Mathematics"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1080\/00207160512331331138"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2011.06.017"},{"key":"1","doi-asserted-by":"publisher","DOI":"10.1080\/00207169608804530"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160030302"},{"key":"10","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1090\/qam\/42889","volume":"9","year":"1951","journal-title":"Quarterly of Applied Mathematics"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/821907.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/821907.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/821907.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,21]],"date-time":"2017-06-21T00:50:16Z","timestamp":1498006216000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2012\/821907\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":10,"alternative-id":["821907","821907"],"URL":"https:\/\/doi.org\/10.1155\/2012\/821907","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"value":"0161-1712","type":"print"},{"value":"1687-0425","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}