{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T18:47:09Z","timestamp":1772131629254,"version":"3.50.1"},"reference-count":26,"publisher":"Informa UK Limited","issue":"1","funder":[{"DOI":"10.13039\/501100008840","name":"Al-Imam Muhammad Ibn Saud Islamic University","doi-asserted-by":"publisher","award":["331203"],"award-info":[{"award-number":["331203"]}],"id":[{"id":"10.13039\/501100008840","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Computer Mathematics"],"published-print":{"date-parts":[[2021,1,2]]},"DOI":"10.1080\/00207160.2020.1726896","type":"journal-article","created":{"date-parts":[[2020,2,6]],"date-time":"2020-02-06T04:41:40Z","timestamp":1580964100000},"page":"47-74","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":17,"title":["A novel three-level time-split MacCormack scheme for two-dimensional evolutionary linear convection-diffusion-reaction equation with source term"],"prefix":"10.1080","volume":"98","author":[{"given":"Eric","family":"Ngondiep","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science, Al-Imam Muhammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia"},{"name":"Hydrological Research Centre, Institute for Geological and Mining Research, Yaounde, Cameroon"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","published-online":{"date-parts":[[2020,2,16]]},"reference":[{"key":"CIT0001","volume-title":"Computational Fluid Mechanics and Heat Transfer","author":"Anderson F.A.","year":"1997","edition":"2"},{"key":"CIT0002","doi-asserted-by":"publisher","DOI":"10.1007\/s007910100068"},{"key":"CIT0003","volume-title":"Numerical Simulations of Non-Newtonian Flow","author":"Crochet M.J.","year":"1984"},{"key":"CIT0004","doi-asserted-by":"publisher","DOI":"10.1137\/0719063"},{"key":"CIT0005","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-015-0035-2"},{"key":"CIT0006","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7825(91)90146-W"},{"key":"CIT0007","doi-asserted-by":"publisher","DOI":"10.1002\/cnm.517"},{"key":"CIT0008","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2011.10.025"},{"key":"CIT0009","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160130205"},{"key":"CIT0010","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1998.6170"},{"key":"CIT0011","first-page":"461","volume":"572","author":"Lingzhi Q.","year":"2014","journal-title":"Int. J. Heat Mass Transf."},{"key":"CIT0012","unstructured":"R.W. MacCormack, An efficient numerical method for solving the time-dependent compressible Navier-Stokes equations at high Reynolds numbers, NASA TM, 1976, pp. 73\u2013129."},{"key":"CIT0013","doi-asserted-by":"crossref","unstructured":"R.W. MacCormack, A numerical method for solving the equations of compressible viscous-flows, AIAA Paper 81-0110, St. Louis, Missouri, 1981.","DOI":"10.2514\/6.1981-110"},{"key":"CIT0014","doi-asserted-by":"crossref","unstructured":"R.W. MacCormack and A.J. Paullay, Computational efficiency achieved by time splitting of finite difference operators, AIAA Paper 72-154, San Diego, California, 1972.","DOI":"10.2514\/6.1972-154"},{"key":"CIT0015","doi-asserted-by":"publisher","DOI":"10.1002\/fld.1528"},{"issue":"132","key":"CIT0016","first-page":"1","volume":"2","author":"Namio F.T.","year":"2015","journal-title":"J. Theor. Comput. Sci."},{"key":"CIT0017","first-page":"199","volume":"4","author":"Ngondiep E.","year":"2012","journal-title":"Int. J. Appl. Math. Comput."},{"key":"CIT0018","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2018.02.024"},{"key":"CIT0019","unstructured":"E. Ngondiep, A three-level explicit time-split MacCormack method for 2D nonlinear reaction-diffusion equations, preprint (2019). Available at http:\/\/arxiv.org\/abs\/1903.10877."},{"key":"CIT0020","unstructured":"E. Ngondiep, Error estimate of MacCormack rapid solver method for 2D incompressible Navier-Stokes problems, preprint (2019). Available at http:\/\/arxiv.org\/abs\/1903.10857."},{"key":"CIT0021","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2018.05.023"},{"key":"CIT0022","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2018.06.034"},{"key":"CIT0023","unstructured":"E. Ngondiep, An efficient three-level explicit time-split method for solving 2D heat conduction equations, submitted for publication."},{"key":"CIT0024","unstructured":"E. Ngondiep, Analysis of stability and convergence rate of a three-level time-split method for two-dimensional unsteady convection-diffusion equation, submitted for publication."},{"key":"CIT0025","unstructured":"E. Ngondiep, R. Alqahtani, and J.C. Ntonga, Stability analysis and convergence rate of MacCormack scheme for complete shallow water equations with source terms, preprint (2019). Available at http:\/\/arxiv.org\/abs\/1903.11104."},{"key":"CIT0026","doi-asserted-by":"publisher","DOI":"10.1002\/fld.1650071003"}],"container-title":["International Journal of Computer Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/00207160.2020.1726896","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,5]],"date-time":"2021-05-05T19:09:44Z","timestamp":1620241784000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/00207160.2020.1726896"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,2,16]]},"references-count":26,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1,2]]}},"alternative-id":["10.1080\/00207160.2020.1726896"],"URL":"https:\/\/doi.org\/10.1080\/00207160.2020.1726896","relation":{},"ISSN":["0020-7160","1029-0265"],"issn-type":[{"value":"0020-7160","type":"print"},{"value":"1029-0265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,2,16]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=gcom20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=gcom20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2019-07-26","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2020-01-23","order":1,"name":"revised","label":"Revised","group":{"name":"publication_history","label":"Publication History"}},{"value":"2020-02-01","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2020-02-16","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}