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dc.contributor.authorGücüyenen, Nurcan
dc.contributor.authorTanoğlu, Gamze
dc.date.accessioned2017-03-01T07:12:57Z
dc.date.available2017-03-01T07:12:57Z
dc.date.issued2011-11
dc.identifier.citationGücüyenen, N., and Tanoǧlu, G. (2011). Iterative operator splitting method for capillary formation model in tumor angiogenesis problem: Analysis and application. International Journal for Numerical Methods in Biomedical Engineering, 27(11), 1740-1750. doi:10.1002/cnm.1435en_US
dc.identifier.issn2040-7939
dc.identifier.urihttp://doi.org/10.1002/cnm.1435
dc.identifier.urihttp://hdl.handle.net/11147/4930
dc.description.abstractIterative operator splitting method is used to solve numerically the mathematical model for capillary formation in tumor angiogenesis problem. The method is based on first splitting the complex problem into simpler sub-problems. Then each sub-equation is combined with iterative schemes. The algorithms are obtained by applying the proposed method to the given model problem. The explicit local error bounds are derived to show consistency. We also explained the stability by constructing the stability functions. The obtained numerical results show that iterative splitting method provides high accuracy and efficiency with respect to other classical methods in the literature.en_US
dc.language.isoengen_US
dc.publisherWiley-Blackwellen_US
dc.relation.isversionof10.1002/cnm.1435en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCapillary formationen_US
dc.subjectIterative operator splitting methoden_US
dc.subjectStability and consistency analysisen_US
dc.subjectTumor angiogenesisen_US
dc.subjectMathematical operatorsen_US
dc.titleIterative operator splitting method for capillary formation model in tumor angiogenesis problem: Analysis and applicationen_US
dc.typearticleen_US
dc.contributor.authorIDTR103234en_US
dc.contributor.iztechauthorGücüyenen, Nurcan
dc.contributor.iztechauthorTanoğlu, Gamze
dc.relation.journalInternational Journal for Numerical Methods in Biomedical Engineeringen_US
dc.contributor.departmentİYTE, Fen Fakültesi, Matematik Bölümüen_US
dc.identifier.volume27en_US
dc.identifier.issue11en_US
dc.identifier.startpage1740en_US
dc.identifier.endpage1750en_US
dc.identifier.wosWOS:000297461000003
dc.identifier.scopusSCOPUS:2-s2.0-80055004971
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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