Finite difference solution of a singular boundary value problem for the p-Laplace operator
We are concerned about a singular boundary value problem for a second order nonlinear ordinary differential equation. The differential operator of this equation is the radial part of the so-called N-dimensional p -Laplacian (where p > 1), which reduces to the classical Laplacian when p = 2. We...
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| Veröffentlicht in: | Numerical algorithms 2010-11, Vol.55 (2-3), p.337-348 |
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| container_title | Numerical algorithms |
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| creator | Morgado, M. Luísa Lima, Pedro Miguel |
| description | We are concerned about a singular boundary value problem for a second order nonlinear ordinary differential equation. The differential operator of this equation is the radial part of the so-called N-dimensional
p
-Laplacian (where
p
> 1), which reduces to the classical Laplacian when
p
= 2. We introduce a finite difference method to obtain a numerical solution and, in order to improve the accuracy of this method, we use a smoothing variable substitution that takes into account the behavior of the solution in the neighborhood of the singular points. |
| doi_str_mv | 10.1007/s11075-010-9405-x |
| format | Article |
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p
-Laplacian (where
p
> 1), which reduces to the classical Laplacian when
p
= 2. We introduce a finite difference method to obtain a numerical solution and, in order to improve the accuracy of this method, we use a smoothing variable substitution that takes into account the behavior of the solution in the neighborhood of the singular points.</description><identifier>ISSN: 1017-1398</identifier><identifier>EISSN: 1572-9265</identifier><identifier>DOI: 10.1007/s11075-010-9405-x</identifier><language>eng</language><publisher>Boston: Springer US</publisher><subject>Algebra ; Algorithms ; Boundary value problems ; Computer Science ; Differential equations ; Finite difference method ; Mathematical analysis ; Mathematical models ; Nonlinear differential equations ; Nonlinearity ; Numeric Computing ; Numerical Analysis ; Operators ; Operators (mathematics) ; Original Paper ; Smoothing ; Theory of Computation</subject><ispartof>Numerical algorithms, 2010-11, Vol.55 (2-3), p.337-348</ispartof><rights>Springer Science+Business Media, LLC. 2010</rights><rights>Springer Science+Business Media, LLC. 2010.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c349t-e2bd6416501a1188235aa483bd5c536780b70aa4a1bee9591a5958ff08cb6b483</citedby><cites>FETCH-LOGICAL-c349t-e2bd6416501a1188235aa483bd5c536780b70aa4a1bee9591a5958ff08cb6b483</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11075-010-9405-x$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11075-010-9405-x$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Morgado, M. Luísa</creatorcontrib><creatorcontrib>Lima, Pedro Miguel</creatorcontrib><title>Finite difference solution of a singular boundary value problem for the p-Laplace operator</title><title>Numerical algorithms</title><addtitle>Numer Algor</addtitle><description>We are concerned about a singular boundary value problem for a second order nonlinear ordinary differential equation. The differential operator of this equation is the radial part of the so-called N-dimensional
p
-Laplacian (where
p
> 1), which reduces to the classical Laplacian when
p
= 2. We introduce a finite difference method to obtain a numerical solution and, in order to improve the accuracy of this method, we use a smoothing variable substitution that takes into account the behavior of the solution in the neighborhood of the singular points.</description><subject>Algebra</subject><subject>Algorithms</subject><subject>Boundary value problems</subject><subject>Computer Science</subject><subject>Differential equations</subject><subject>Finite difference method</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Nonlinear differential equations</subject><subject>Nonlinearity</subject><subject>Numeric Computing</subject><subject>Numerical Analysis</subject><subject>Operators</subject><subject>Operators (mathematics)</subject><subject>Original Paper</subject><subject>Smoothing</subject><subject>Theory of Computation</subject><issn>1017-1398</issn><issn>1572-9265</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNp1kE9LxDAQxYMouK5-AG8BL16iM2nTpEdZXBUWvOjFS0jbdO2SbdaklfXbm6WCIHiaP_ze8OYRcolwgwDyNiKCFAwQWJmDYPsjMkMhOSt5IY5TDygZZqU6JWcxbiCBwOWMvC27vhssbbq2tcH2taXRu3HofE99Sw2NXb8enQm08mPfmPBFP40bLd0FXzm7pa0PdHhPM1uZnTNJ73c2mMGHc3LSGhftxU-dk9fl_cvika2eH54WdytWZ3k5MMurpsixEIAGUSmeCWNylVWNqEVWSAWVhLQxWFlbihKNKIVqW1B1VVQJnJPr6W6y9DHaOOhtF2vrnOmtH6NGKSHjeZFDQq_-oBs_hj6507xEVSA_sHOCE1UHH2Owrd6Fbpte1wj6kLae0tYpRH1IW--Thk-amNh-bcPv5f9F34CJgho</recordid><startdate>20101101</startdate><enddate>20101101</enddate><creator>Morgado, M. 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p
-Laplacian (where
p
> 1), which reduces to the classical Laplacian when
p
= 2. We introduce a finite difference method to obtain a numerical solution and, in order to improve the accuracy of this method, we use a smoothing variable substitution that takes into account the behavior of the solution in the neighborhood of the singular points.</abstract><cop>Boston</cop><pub>Springer US</pub><doi>10.1007/s11075-010-9405-x</doi><tpages>12</tpages></addata></record> |
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| ispartof | Numerical algorithms, 2010-11, Vol.55 (2-3), p.337-348 |
| issn | 1017-1398 1572-9265 |
| language | eng |
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| source | SpringerNature Journals |
| subjects | Algebra Algorithms Boundary value problems Computer Science Differential equations Finite difference method Mathematical analysis Mathematical models Nonlinear differential equations Nonlinearity Numeric Computing Numerical Analysis Operators Operators (mathematics) Original Paper Smoothing Theory of Computation |
| title | Finite difference solution of a singular boundary value problem for the p-Laplace operator |
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