{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,30]],"date-time":"2025-09-30T00:06:41Z","timestamp":1759190801395},"reference-count":37,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2004,1,1]],"date-time":"2004-01-01T00:00:00Z","timestamp":1072915200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[2004,1]]},"DOI":"10.1016\/s0096-3003(02)00654-9","type":"journal-article","created":{"date-parts":[[2003,2,28]],"date-time":"2003-02-28T14:00:13Z","timestamp":1046440813000},"page":"97-113","source":"Crossref","is-referenced-by-count":6,"title":["Computational methods for reaction\u2013diffusion problems for fourth order ordinary differential equations with a small parameter at the highest derivative"],"prefix":"10.1016","volume":"147","author":[{"given":"V.","family":"Shanthi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"N.","family":"Ramanujam","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0096-3003(02)00654-9_BIB1","first-page":"191","article-title":"\u00fcber das vorligen der Eigenschaft von monotoner Art bei fortschreitend bez.nur als ganzes losbarem sustemen","volume":"55","author":"Adams","year":"1975","journal-title":"Z. Angew. Math. Mech."},{"key":"10.1016\/S0096-3003(02)00654-9_BIB2","series-title":"Uniform numerical methods for problems with initial and boundary layers","author":"Doolan","year":"1980"},{"key":"10.1016\/S0096-3003(02)00654-9_BIB3","doi-asserted-by":"publisher","first-page":"459","DOI":"10.1093\/imanum\/7.4.459","article-title":"Sufficient conditions for uniform convergence of a class of difference schemes for a singular perturbation problems","volume":"7","author":"Farrell","year":"1987","journal-title":"IMA J. Numer. Anal."},{"issue":"1","key":"10.1016\/S0096-3003(02)00654-9_BIB4","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1006\/jdeq.1994.1076","article-title":"Singularly perturbed higher order boundary value problems","volume":"III","author":"Feckan","year":"1994","journal-title":"J. Differential Equations"},{"key":"10.1016\/S0096-3003(02)00654-9_BIB5","doi-asserted-by":"publisher","first-page":"631","DOI":"10.1090\/S0025-5718-1988-0935072-1","article-title":"Graded-mesh difference schemes for singularly perturbed two-point boundary value problems","volume":"51","author":"Gartlend","year":"1988","journal-title":"Math. Comput."},{"issue":"3","key":"10.1016\/S0096-3003(02)00654-9_BIB6","doi-asserted-by":"publisher","DOI":"10.1007\/BF00940053","article-title":"Parallel initial-value algorithms for singularly perturbed boundary\u2013\u2013value problems","volume":"73","author":"Gasparo","year":"1992","journal-title":"J. Optimization Theory Appl."},{"issue":"1","key":"10.1016\/S0096-3003(02)00654-9_BIB7","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1137\/0513005","article-title":"Differential inequalities of higher order and the asymptotic solution of nonlinear boundary value problems","volume":"13","author":"Howes","year":"1982","journal-title":"SIAM J. Math. Anal."},{"issue":"5","key":"10.1016\/S0096-3003(02)00654-9_BIB8","doi-asserted-by":"publisher","first-page":"993","DOI":"10.1137\/0143065","article-title":"The asymptotic solution of a class of third-order boundary value problem arising in the theory of thin film flow","volume":"43","author":"Howes","year":"1983","journal-title":"SIAM J. Appl. Math."},{"key":"10.1016\/S0096-3003(02)00654-9_BIB9","first-page":"309","article-title":"Improvement of numerical solution of boundary layer problems by incorporation of asymptotic approximation","volume":"3a","author":"Israeli","year":"1984","journal-title":"Numer. Math."},{"key":"10.1016\/S0096-3003(02)00654-9_BIB10","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/0096-3003(93)90004-X","article-title":"A computational method for solving singular perturbation problems","volume":"55","author":"Jayakumar","year":"1993","journal-title":"Appl. Math. Comput."},{"issue":"5","key":"10.1016\/S0096-3003(02)00654-9_BIB11","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1016\/0898-1221(94)90078-7","article-title":"A numerical method for singular perturbation problems arising in chemical reactor theory","volume":"27","author":"Jayakumar","year":"1994","journal-title":"Comput. Math. Appl."},{"key":"10.1016\/S0096-3003(02)00654-9_BIB12","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/0096-3003(87)90020-8","article-title":"Numerical treatment of singularly perturbed two-point boundary-value problems","volume":"21","author":"Khadalbajoo","year":"1987","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/S0096-3003(02)00654-9_BIB13","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/0096-3003(87)90001-4","article-title":"Approximate methods for the numerical solution of singular perturbation problems","volume":"21","author":"Khadalbajoo","year":"1987","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/S0096-3003(02)00654-9_BIB14","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/0096-3003(87)90003-8","article-title":"Perturbation problems via deviating arguments","volume":"21","author":"Khadalbajoo","year":"1987","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/S0096-3003(02)00654-9_BIB15","series-title":"Numerical Algorithms-Computations in Science and Engineering","author":"Krishnamoorthy","year":"1986"},{"key":"10.1016\/S0096-3003(02)00654-9_BIB16","series-title":"Fitted numerical methods for singular perturbation problems error estimates in the maximum norm for linear problems in one and two dimensions","author":"Miller","year":"1996"},{"key":"10.1016\/S0096-3003(02)00654-9_BIB17","series-title":"Introduction to Perturbation Methods","author":"Nayfeh","year":"1981"},{"key":"10.1016\/S0096-3003(02)00654-9_BIB18","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1007\/BF01390214","article-title":"The uniform stability of singularly perturbed discrete and continuous boundary value problems","volume":"41","author":"Niederdrenk","year":"1983","journal-title":"Numer. Math."},{"key":"10.1016\/S0096-3003(02)00654-9_BIB19","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/S0096-3003(97)10056-X","article-title":"A computational method for solving Singularly Perturbed turning point problems exhibiting twin boundary layers","volume":"93","author":"Natesan","year":"1998","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/S0096-3003(02)00654-9_BIB20","series-title":"Introduction to Singular Perturbations","author":"O\u2019Malley","year":"1974"},{"key":"10.1016\/S0096-3003(02)00654-9_BIB21","series-title":"Singular Perturbation Methods for Ordinary Differential Equations","author":"O\u2019Malley","year":"1990"},{"key":"10.1016\/S0096-3003(02)00654-9_BIB22","series-title":"Maximum Principles in Differential Equations","author":"Protter","year":"1967"},{"issue":"1","key":"10.1016\/S0096-3003(02)00654-9_BIB23","article-title":"Singular perturbation problems for systems of PDEs of Elliptic type","volume":"71","author":"Ramanujam","year":"1979","journal-title":"JMAA"},{"key":"10.1016\/S0096-3003(02)00654-9_BIB24","unstructured":"N. Ramanujam, U.N. Srivartsava, Singular perturbation problems for systems of partial differential equations of parabolic type, Funkcialaj Ekvacioj, 23, Numero 3, Decembro, 1980"},{"key":"10.1016\/S0096-3003(02)00654-9_BIB25","doi-asserted-by":"publisher","first-page":"489","DOI":"10.1016\/0022-247X(82)90139-1","article-title":"A boundary value technique for singular perturbation problems","volume":"87","author":"Roberts","year":"1982","journal-title":"J. Math. Analysis Appl."},{"key":"10.1016\/S0096-3003(02)00654-9_BIB26","doi-asserted-by":"publisher","first-page":"411","DOI":"10.1016\/0022-247X(88)90412-X","article-title":"Further examples of the boundary value technique in singular perturbation problems","volume":"133","author":"Roberts","year":"1988","journal-title":"J. Math. Analysis Appl."},{"key":"10.1016\/S0096-3003(02)00654-9_BIB27","first-page":"30","article-title":"A uniformly convergent discretization method for a fourth order singular perturbation problem","volume":"228","author":"Roos","year":"1991","journal-title":"Bonner Math. Schriften"},{"key":"10.1016\/S0096-3003(02)00654-9_BIB28","series-title":"Numerical methods for singularly perturbed differential equations\u2013\u2013convection\u2013diffusion and flow problems","author":"Roos","year":"1996"},{"key":"10.1016\/S0096-3003(02)00654-9_BIB29","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1093\/imanum\/14.1.97","article-title":"Locking in finite element approximation of long thin extensible beams","volume":"14","author":"Semper","year":"1994","journal-title":"IMA J. Numer. Anal."},{"key":"10.1016\/S0096-3003(02)00654-9_BIB30","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1016\/S0096-3003(01)00040-6","article-title":"A numerical method for boundary value problems for singularly perturbed fourth order ordinary differential equations","volume":"129","author":"Shanthi","year":"2002","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/S0096-3003(02)00654-9_BIB31","doi-asserted-by":"publisher","unstructured":"V. Shanthi, N. Ramanujam, Asymptotic numerical methods for singularly perturbed fourth order ordinary differential equations of convection\u2013diffusion type, Appl. Math. Comput., in press","DOI":"10.1016\/S0096-3003(01)00257-0"},{"key":"10.1016\/S0096-3003(02)00654-9_BIB32","doi-asserted-by":"publisher","unstructured":"V. Shanthi, N. Ramanujam, Asymptotic numerical methods for singularly perturbed fourth order ordinary differential equations of reaction\u2013diffusion type, Comput. Math. Appl., in press","DOI":"10.1016\/S0898-1221(03)90039-3"},{"key":"10.1016\/S0096-3003(02)00654-9_BIB33","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1093\/imanum\/15.1.117","article-title":"Finite element methods for singularly perturbed higher order elliptic two point boundary value problems. I: Reaction\u2013diffusion type","volume":"15","author":"Sun","year":"1995","journal-title":"IMA J. Numer. Anal."},{"key":"10.1016\/S0096-3003(02)00654-9_BIB34","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1093\/imanum\/15.1.117","article-title":"Finite element methods for singularly perturbed higher order elliptic two point boundary value problems. II: Reaction\u2013diffusion type","volume":"15","author":"Sun","year":"1995","journal-title":"IMA J. Numer. Anal."},{"key":"10.1016\/S0096-3003(02)00654-9_BIB35","doi-asserted-by":"publisher","unstructured":"S. Valarmathi, N. Ramanujam, Boundary value technique for finding numerical solution to boundary value problems for third order singularly perturbed ordinary differential equations, Appl. Math. Comput., in press","DOI":"10.1080\/00207160211284"},{"issue":"1\u20132","key":"10.1016\/S0096-3003(02)00654-9_BIB36","article-title":"A computational method for solving boundary value problems for singularly perturbed third order ordinary differential equations","volume":"81","author":"Valarmathi","year":"2001","journal-title":"Int. J. Comput. Math."},{"issue":"2","key":"10.1016\/S0096-3003(02)00654-9_BIB37","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1016\/0022-0396(90)90099-B","article-title":"Singular perturbations of boundary value problems for a class of third order nonlinear ordinary differential equations","volume":"88","author":"Weili","year":"1990","journal-title":"J. Differential equations"}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300302006549?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300302006549?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2023,4,25]],"date-time":"2023-04-25T21:10:30Z","timestamp":1682457030000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300302006549"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":37,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["S0096300302006549"],"URL":"https:\/\/doi.org\/10.1016\/s0096-3003(02)00654-9","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2004,1]]}}}