On the generalized method of lines applied to a Ginzburg-Landau type equation on a multiply connected domain

On the generalized method of lines applied to a Ginzburg-Landau type equation on a multiply connected domain | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 21 January 2026 V1 Latest version Share on On the generalized method of lines applied to a Ginzburg-Landau type equation on a multiply connected domain Authors : Fabio Botelho 0000-0002-3890-8263 [email protected] and Fabio Silva Botelho Authors Info & Affiliations https://doi.org/10.22541/au.176901912.26447553/v1 303 views 66 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This article develops an application of the generalized method of lines to a Ginzburg-Landau type equation on a multiply connected domain. In the last section we present a numerical example and respective software in order to illustrate the results applicability. Supplementary Material File (lines-lg-january-2026-1.pdf) Download 186.51 KB Information & Authors Information Version history V1 Version 1 21 January 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords cartesian coordinates finite differences approach. msc: 65n40 generalized method of lines ginzburg-landau type equation multiply connected domain Authors Affiliations Fabio Botelho 0000-0002-3890-8263 [email protected] View all articles by this author Fabio Silva Botelho Department of Mathematics, Federal University of Santa Catarina, UFSC Florianópolis View all articles by this author Metrics & Citations Metrics Article Usage 303 views 66 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Fabio Botelho, Fabio Silva Botelho. On the generalized method of lines applied to a Ginzburg-Landau type equation on a multiply connected domain. Authorea . 21 January 2026. DOI: https://doi.org/10.22541/au.176901912.26447553/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. 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