{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,10]],"date-time":"2026-06-10T19:01:24Z","timestamp":1781118084885,"version":"3.54.1"},"reference-count":12,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2015,12,1]],"date-time":"2015-12-01T00:00:00Z","timestamp":1448928000000},"content-version":"unspecified","delay-in-days":334,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["LMS J. Comput. Math."],"published-print":{"date-parts":[[2015]]},"abstract":"<jats:p>We present a quasi-linear iterative method for solving a system of<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S1461157015000285_inline1\"\/><jats:tex-math>$m$<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula>-nonlinear coupled differential equations. We provide an error analysis of the method to study its convergence criteria. In order to show the efficiency of the method, we consider some computational examples of this class of problem. These examples validate the accuracy of the method and show that it gives results which are convergent to the exact solutions. We prove that the method is accurate, fast and has a reasonable rate of convergence by computing some local and global error indicators.<\/jats:p>","DOI":"10.1112\/s1461157015000285","type":"journal-article","created":{"date-parts":[[2015,12,15]],"date-time":"2015-12-15T11:06:41Z","timestamp":1450177601000},"page":"730-753","source":"Crossref","is-referenced-by-count":21,"title":["A computational iterative method for solving nonlinear ordinary differential equations"],"prefix":"10.1112","volume":"18","author":[{"given":"H.","family":"Temimi","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A. R.","family":"Ansari","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2015,12,1]]},"reference":[{"key":"S1461157015000285_r11","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.10.042"},{"key":"S1461157015000285_r9","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/842121"},{"key":"S1461157015000285_r6","doi-asserted-by":"publisher","DOI":"10.1201\/9780203491164"},{"key":"S1461157015000285_r4","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2013.03.033"},{"key":"S1461157015000285_r7","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2008.04.013"},{"key":"S1461157015000285_r12","doi-asserted-by":"crossref","first-page":"1457","DOI":"10.1016\/j.amc.2011.06.029","article-title":"A new iterative technique for solving nonlinear second order multi-point boundary value problems","volume":"218","author":"Temimi","year":"2011","journal-title":"Appl. Math. Comput."},{"key":"S1461157015000285_r1","volume-title":"Quasilinearisation and nonlinear boundary-value problems","author":"Bellman","year":"1965"},{"key":"S1461157015000285_r3","doi-asserted-by":"publisher","DOI":"10.1515\/IJNSNS.2009.10.3.353"},{"key":"S1461157015000285_r10","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-460X(87)81330-5"},{"key":"S1461157015000285_r5","doi-asserted-by":"publisher","DOI":"10.1007\/s00707-004-0112-3"},{"key":"S1461157015000285_r8","doi-asserted-by":"publisher","DOI":"10.1115\/1.2791935"},{"key":"S1461157015000285_r2","first-page":"121","article-title":"Iteration perturbation method for strongly nonlinear oscillations","volume":"2","author":"He","year":"2002","journal-title":"J. Vib. Control"}],"container-title":["LMS Journal of Computation and Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S1461157015000285","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,13]],"date-time":"2024-06-13T02:32:40Z","timestamp":1718245960000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S1461157015000285\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"references-count":12,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015]]}},"alternative-id":["S1461157015000285"],"URL":"https:\/\/doi.org\/10.1112\/s1461157015000285","relation":{},"ISSN":["1461-1570"],"issn-type":[{"value":"1461-1570","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015]]}}}