{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T19:53:12Z","timestamp":1769629992031,"version":"3.49.0"},"reference-count":31,"publisher":"Informa UK Limited","issue":"2","content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Computer Mathematics"],"published-print":{"date-parts":[[2024,2]]},"DOI":"10.1080\/00207160.2024.2312891","type":"journal-article","created":{"date-parts":[[2024,2,7]],"date-time":"2024-02-07T06:41:03Z","timestamp":1707288063000},"page":"119-137","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":1,"title":["The solution for singularly perturbed differential-difference equation with boundary layers at both ends by a numerical integration method"],"prefix":"10.1080","volume":"101","author":[{"given":"Raghvendra Pratap","family":"Singh","sequence":"first","affiliation":[{"name":"Department of Mathematics, National Institute of Technology, Warangal, India"}]},{"given":"Y. N.","family":"Reddy","sequence":"additional","affiliation":[{"name":"Department of Mathematics, National Institute of Technology, Warangal, India"}]}],"member":"301","published-online":{"date-parts":[[2024,2,6]]},"reference":[{"key":"e_1_3_4_2_1","doi-asserted-by":"publisher","DOI":"10.26713\/cma.v10i4.1129"},{"key":"e_1_3_4_3_1","volume-title":"Dynamic Programming and Partial Differential Equations","author":"Angel E.","year":"1972","unstructured":"E. Angel, and R. Bellman, Dynamic Programming and Partial Differential Equations, Academic Press, New York, 1972."},{"key":"e_1_3_4_4_1","volume-title":"Differential-Difference Equations","author":"Bellman R.E.","year":"1963","unstructured":"R.E. Bellman, and K.L. Cooke, Differential-Difference Equations, Academic Press, London, 1963."},{"key":"e_1_3_4_5_1","volume-title":"Advanced Mathematical Methods for Scientists and Engineers","author":"Bender C.M.","year":"1978","unstructured":"C.M. Bender, and S.A. Orszag, Advanced Mathematical Methods for Scientists and Engineers, McGraw-Hill, New York, 1978."},{"key":"e_1_3_4_6_1","doi-asserted-by":"publisher","DOI":"10.36045\/j.bbms.200128"},{"key":"e_1_3_4_7_1","volume-title":"Uniform Numerical Methods for Problems with Initial and Boundary Layers","author":"Doolan E.P.","year":"1980","unstructured":"E.P. Doolan, J.J.H. Miller, and W.H.A. Schilders, Uniform Numerical Methods for Problems with Initial and Boundary Layers, Boole Press, Dublin, Ireland, 1980."},{"key":"e_1_3_4_8_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-9467-9"},{"key":"e_1_3_4_9_1","volume-title":"Introduction to the Theory and Applications of Differential Equations with Deviating Arguments","author":"El\u2019sgol\u2019ts L.E.","year":"1973","unstructured":"L.E. El\u2019sgol\u2019ts, and S.B. Norkin, Introduction to the Theory and Applications of Differential Equations with Deviating Arguments, Academic Press, New York, 1973."},{"key":"e_1_3_4_10_1","first-page":"1","article-title":"Numerical integration of a class of singularly perturbed delay differential equations with small shift","author":"File G.","year":"2012","unstructured":"G. File, and Y.N. Reddy, Numerical integration of a class of singularly perturbed delay differential equations with small shift, Int. J. Differ. Eqn. (2012), Article ID 572723, pp. 1\u201312.","journal-title":"Int. J. Differ. Eqn."},{"key":"e_1_3_4_11_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2014.11.106"},{"key":"e_1_3_4_12_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-9892-2"},{"key":"e_1_3_4_13_1","doi-asserted-by":"publisher","DOI":"10.1155\/2021\/6636607"},{"key":"e_1_3_4_14_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2009.11.021"},{"key":"e_1_3_4_15_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00939084"},{"key":"e_1_3_4_16_1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1019681130824"},{"key":"e_1_3_4_17_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2003.06.012"},{"key":"e_1_3_4_18_1","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139992228119"},{"key":"e_1_3_4_19_1","doi-asserted-by":"publisher","DOI":"10.1137\/0142036"},{"key":"e_1_3_4_20_1","doi-asserted-by":"publisher","DOI":"10.1137\/0145041"},{"key":"e_1_3_4_21_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(00)00625-7"},{"key":"e_1_3_4_22_1","doi-asserted-by":"publisher","DOI":"10.1142\/8410"},{"key":"e_1_3_4_23_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2004.09.049"},{"key":"e_1_3_4_24_1","doi-asserted-by":"publisher","DOI":"10.1002\/cnm.1370"},{"key":"e_1_3_4_25_1","volume-title":"Perturbation Methods","author":"Nayfeh A.H.","year":"1972","unstructured":"A.H. Nayfeh, Perturbation Methods, Wiley, New York, 1972."},{"key":"e_1_3_4_26_1","volume-title":"Introduction to Singular Perturbations","author":"O\u2019Malley R.E.","year":"1974","unstructured":"R.E. O\u2019Malley, Introduction to Singular Perturbations, Academic, New York, 1974."},{"issue":"1","key":"e_1_3_4_27_1","first-page":"318","article-title":"Solving singularly perturbed differential difference equations via fitted method","volume":"8","author":"Reddy Y.N.","year":"2013","unstructured":"Y.N. Reddy, and A.T. Awoke, Solving singularly perturbed differential difference equations via fitted method, Appl Appl Math.: Int J. 8(1) (2013), pp. 318\u2013332.","journal-title":"Appl Appl Math.: Int J."},{"key":"e_1_3_4_28_1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(82)90139-1"},{"key":"e_1_3_4_29_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-34467-4"},{"key":"e_1_3_4_30_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.asej.2016.03.009"},{"issue":"2","key":"e_1_3_4_31_1","first-page":"110","article-title":"Accurate numerical method for singularly perturbed differential difference equations with mixed shifts","volume":"4","author":"Swami D.K.","year":"2018","unstructured":"D.K. Swami, K. Phaneendra, and Y.N. Reddy, Accurate numerical method for singularly perturbed differential difference equations with mixed shifts, Khayyam J. Math. 4(2) (2018), pp. 110\u2013122.","journal-title":"Khayyam J. Math."},{"key":"e_1_3_4_32_1","author":"Van Dyke M.","year":"1964","unstructured":"M. Van Dyke, Perturbation Methods in Fluid Mechanics, Academic Press, New York, 1964.","journal-title":"Perturbation Methods in Fluid Mechanics"}],"container-title":["International Journal of Computer Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/00207160.2024.2312891","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,24]],"date-time":"2024-09-24T19:06:20Z","timestamp":1727204780000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/00207160.2024.2312891"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,2]]},"references-count":31,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2024,2]]}},"alternative-id":["10.1080\/00207160.2024.2312891"],"URL":"https:\/\/doi.org\/10.1080\/00207160.2024.2312891","relation":{},"ISSN":["0020-7160","1029-0265"],"issn-type":[{"value":"0020-7160","type":"print"},{"value":"1029-0265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,2]]},"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":"2022-02-26","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2023-09-22","order":1,"name":"revised","label":"Revised","group":{"name":"publication_history","label":"Publication History"}},{"value":"2024-01-26","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2024-02-06","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}