{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,19]],"date-time":"2026-02-19T02:01:29Z","timestamp":1771466489688,"version":"3.50.1"},"reference-count":11,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,5,13]],"date-time":"2012-05-13T00:00:00Z","timestamp":1336867200000},"content-version":"vor","delay-in-days":133,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Malaysian Government","award":["203\/PMATHS\/6711150"],"award-info":[{"award-number":["203\/PMATHS\/6711150"]}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>Numerical solutions of one\u2010dimensional heat and advection\u2010diffusion equations are obtained by collocation method based on cubic <jats:italic>B<\/jats:italic>\u2010spline. Usual finite difference scheme is used for time and space integrations. Cubic <jats:italic>B<\/jats:italic>\u2010spline is applied as interpolation function. The stability analysis of the scheme is examined by the Von Neumann approach. The efficiency of the method is illustrated by some test problems. The numerical results are found to be in good agreement with the exact solution.<\/jats:p>","DOI":"10.1155\/2012\/458701","type":"journal-article","created":{"date-parts":[[2012,5,13]],"date-time":"2012-05-13T21:01:39Z","timestamp":1336942899000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":28,"title":["Cubic B\u2010Spline Collocation Method for One\u2010Dimensional Heat and Advection\u2010Diffusion Equations"],"prefix":"10.1155","volume":"2012","author":[{"given":"Joan","family":"Goh","sequence":"first","affiliation":[]},{"given":"Ahmad Abd.","family":"Majid","sequence":"additional","affiliation":[]},{"given":"Ahmad Izani Md.","family":"Ismail","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,5,13]]},"reference":[{"key":"e_1_2_7_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.01.056"},{"key":"e_1_2_7_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2010.01.013"},{"key":"e_1_2_7_3_2","doi-asserted-by":"crossref","first-page":"381","DOI":"10.3390\/mca9030381","article-title":"A cubic B-spline collocation method for the EW equation","volume":"9","author":"Dag I.","year":"2004","journal-title":"Mathematical & Computational Applications"},{"key":"e_1_2_7_4_2","series-title":"Wiley Classics Library","volume-title":"Splines and Variational Methods","author":"Prenter P. 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