dorsal/arxiv
View SchemaOrdinary Differential Equations through Dimensional Analysis
| Authors | José Antonio Belinchón |
|---|---|
| Categories | |
| ArXiv ID | physics/0502154 |
| URL | https://arxiv.org/abs/physics/0502154 |
Abstract
In in this paper we show how using D.A. it is found a simple change of variables (c.v.) that brings us to obtain differential equations simpler than the original one. In a pedagogical way (at least we try to do that) and in order to make see that each c.v. corresponds to an invariant solution (induced by a symmetry) or a particular solution, we compare (with all the tedious details, i.e. calculations) the proposed method with the Lie method. The method is checked even in ODEs that do not admit symmetries.
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"abstract": "In in this paper we show how using D.A. it is found a simple change of\nvariables (c.v.) that brings us to obtain differential equations simpler than\nthe original one. In a pedagogical way (at least we try to do that) and in\norder to make see that each c.v. corresponds to an invariant solution (induced\nby a symmetry) or a particular solution, we compare (with all the tedious\ndetails, i.e. calculations) the proposed method with the Lie method. The method\nis checked even in ODEs that do not admit symmetries.",
"arxiv_id": "physics/0502154",
"authors": [
"Jos\u00e9 Antonio Belinch\u00f3n"
],
"categories": [
"physics.ed-ph",
"physics.gen-ph"
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"title": "Ordinary Differential Equations through Dimensional Analysis",
"url": "https://arxiv.org/abs/physics/0502154"
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