A numerical procedure through the method of lines addressing a non-circular boundary type in a polar coordinates context

A numerical procedure through the method of lines addressing a non-circular boundary type in a polar coordinates context | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 28 April 2025 V1 Latest version Share on A numerical procedure through the method of lines addressing a non-circular boundary type in a polar coordinates context Authors : Fabio Botelho 0000-0002-3890-8263 [email protected] and Fabio Silva Botelho Authors Info & Affiliations https://doi.org/10.22541/au.174585829.92934141/v1 211 views 130 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This articles develops a method for obtaining an approximate solution for a Laplace partial differential equation through an application of the generalized method of lines. More specifically, we address the issue of setting a boundary condition on a non-circular part of the domain boundary, in a polar coordinates context. Supplementary Material File (method-of-lines-april-2025-5.pdf) Download 203.82 KB Information & Authors Information Version history V1 Version 1 28 April 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords finite differences approach generalized method of lines non-circular domain shape numerical optimization. msc: 65n40 polar coordinates 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 211 views 130 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Fabio Botelho, Fabio Silva Botelho. A numerical procedure through the method of lines addressing a non-circular boundary type in a polar coordinates context. Authorea . 28 April 2025. 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