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		<identifier>oai:zbc.uz.zgora.pl:79194</identifier>
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<dc:title xml:lang="pl"><![CDATA[A finite element method for extended KdV equations]]></dc:title>
<dc:creator><![CDATA[Karczewska, Anna]]></dc:creator>
<dc:creator><![CDATA[Rozmej, Piotr]]></dc:creator>
<dc:creator><![CDATA[Szczeciński, Maciej]]></dc:creator>
<dc:creator><![CDATA[Boguniewicz, Bartosz]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[shallow water wave problem]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[nonlinear equations]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[second order KdV equations]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Finite Element Method (FEM)]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Petrov-Galerkin method]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[The finite element method (FEM) is applied to obtain numerical solutions to a recently derived nonlinear equation for the shallow water wave problem. A weak formulation and the Petrov-Galerkin method are used. It is shown that the FEM gives a reasonable description of the wave dynamics of soliton waves governed by extended KdV equations. Some new results for several cases of bottom shapes are presented. The numerical scheme presented here is suitable for taking into account stochastic effects, which will be discussed in a subsequent paper.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Korbicz, Józef (1951- ) - red.]]></dc:contributor>
<dc:contributor><![CDATA[Uciński, Dariusz - red.]]></dc:contributor>
<dc:date><![CDATA[2016]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/79194/AMCS_2016_26_3_4.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/89026/edition/79194/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:79194]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 26, number 3 (2016)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=66]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:89026]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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