A High-Accuracy Linear Conservative Difference Scheme for Rosenau-RLW Equation

We study the initial-boundary value problem for Rosenau-RLW equation. We propose a three-level linear finite difference scheme, which has the theoretical accuracy of Oτ2+h4. The scheme simulates two conservative properties of original problem well. The existence, uniqueness of difference solution, a...
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Autor*in:	Jinsong Hu [verfasserIn] Yulan Wang [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2013

Übergeordnetes Werk:	In: Mathematical Problems in Engineering - Hindawi Limited, 2002, (2013)
Übergeordnetes Werk:	year:2013

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc Journal toc

DOI / URN:	10.1155/2013/870291

Katalog-ID:	DOAJ01044176X

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spelling	10.1155/2013/870291 doi (DE-627)DOAJ01044176X (DE-599)DOAJ42cf860dddc944689d870f3a0cb367d3 DE-627 ger DE-627 rakwb eng TA1-2040 QA1-939 Jinsong Hu verfasserin aut A High-Accuracy Linear Conservative Difference Scheme for Rosenau-RLW Equation 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We study the initial-boundary value problem for Rosenau-RLW equation. We propose a three-level linear finite difference scheme, which has the theoretical accuracy of Oτ2+h4. The scheme simulates two conservative properties of original problem well. The existence, uniqueness of difference solution, and a priori estimates in infinite norm are obtained. Furthermore, we analyze the convergence and stability of the scheme by energy method. At last, numerical experiments demonstrate the theoretical results. Engineering (General). Civil engineering (General) Mathematics Yulan Wang verfasserin aut In Mathematical Problems in Engineering Hindawi Limited, 2002 (2013) (DE-627)320519937 (DE-600)2014442-8 1024123X nnns year:2013 https://doi.org/10.1155/2013/870291 kostenfrei https://doaj.org/article/42cf860dddc944689d870f3a0cb367d3 kostenfrei http://dx.doi.org/10.1155/2013/870291 kostenfrei https://doaj.org/toc/1024-123X Journal toc kostenfrei https://doaj.org/toc/1563-5147 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_165 GBV_ILN_170 GBV_ILN_171 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2119 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2013
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allfieldsGer	10.1155/2013/870291 doi (DE-627)DOAJ01044176X (DE-599)DOAJ42cf860dddc944689d870f3a0cb367d3 DE-627 ger DE-627 rakwb eng TA1-2040 QA1-939 Jinsong Hu verfasserin aut A High-Accuracy Linear Conservative Difference Scheme for Rosenau-RLW Equation 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We study the initial-boundary value problem for Rosenau-RLW equation. We propose a three-level linear finite difference scheme, which has the theoretical accuracy of Oτ2+h4. The scheme simulates two conservative properties of original problem well. The existence, uniqueness of difference solution, and a priori estimates in infinite norm are obtained. Furthermore, we analyze the convergence and stability of the scheme by energy method. At last, numerical experiments demonstrate the theoretical results. Engineering (General). Civil engineering (General) Mathematics Yulan Wang verfasserin aut In Mathematical Problems in Engineering Hindawi Limited, 2002 (2013) (DE-627)320519937 (DE-600)2014442-8 1024123X nnns year:2013 https://doi.org/10.1155/2013/870291 kostenfrei https://doaj.org/article/42cf860dddc944689d870f3a0cb367d3 kostenfrei http://dx.doi.org/10.1155/2013/870291 kostenfrei https://doaj.org/toc/1024-123X Journal toc kostenfrei https://doaj.org/toc/1563-5147 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_165 GBV_ILN_170 GBV_ILN_171 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2119 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2013
allfieldsSound	10.1155/2013/870291 doi (DE-627)DOAJ01044176X (DE-599)DOAJ42cf860dddc944689d870f3a0cb367d3 DE-627 ger DE-627 rakwb eng TA1-2040 QA1-939 Jinsong Hu verfasserin aut A High-Accuracy Linear Conservative Difference Scheme for Rosenau-RLW Equation 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We study the initial-boundary value problem for Rosenau-RLW equation. We propose a three-level linear finite difference scheme, which has the theoretical accuracy of Oτ2+h4. The scheme simulates two conservative properties of original problem well. The existence, uniqueness of difference solution, and a priori estimates in infinite norm are obtained. Furthermore, we analyze the convergence and stability of the scheme by energy method. At last, numerical experiments demonstrate the theoretical results. Engineering (General). Civil engineering (General) Mathematics Yulan Wang verfasserin aut In Mathematical Problems in Engineering Hindawi Limited, 2002 (2013) (DE-627)320519937 (DE-600)2014442-8 1024123X nnns year:2013 https://doi.org/10.1155/2013/870291 kostenfrei https://doaj.org/article/42cf860dddc944689d870f3a0cb367d3 kostenfrei http://dx.doi.org/10.1155/2013/870291 kostenfrei https://doaj.org/toc/1024-123X Journal toc kostenfrei https://doaj.org/toc/1563-5147 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_165 GBV_ILN_170 GBV_ILN_171 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2119 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2013
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callnumber-first	T - Technology
author	Jinsong Hu
spellingShingle	Jinsong Hu misc TA1-2040 misc QA1-939 misc Engineering (General). Civil engineering (General) misc Mathematics A High-Accuracy Linear Conservative Difference Scheme for Rosenau-RLW Equation
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topic_title	TA1-2040 QA1-939 A High-Accuracy Linear Conservative Difference Scheme for Rosenau-RLW Equation
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title	A High-Accuracy Linear Conservative Difference Scheme for Rosenau-RLW Equation
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title_full	A High-Accuracy Linear Conservative Difference Scheme for Rosenau-RLW Equation
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title_sort	high-accuracy linear conservative difference scheme for rosenau-rlw equation
callnumber	TA1-2040
title_auth	A High-Accuracy Linear Conservative Difference Scheme for Rosenau-RLW Equation
abstract	We study the initial-boundary value problem for Rosenau-RLW equation. We propose a three-level linear finite difference scheme, which has the theoretical accuracy of Oτ2+h4. The scheme simulates two conservative properties of original problem well. The existence, uniqueness of difference solution, and a priori estimates in infinite norm are obtained. Furthermore, we analyze the convergence and stability of the scheme by energy method. At last, numerical experiments demonstrate the theoretical results.
abstractGer	We study the initial-boundary value problem for Rosenau-RLW equation. We propose a three-level linear finite difference scheme, which has the theoretical accuracy of Oτ2+h4. The scheme simulates two conservative properties of original problem well. The existence, uniqueness of difference solution, and a priori estimates in infinite norm are obtained. Furthermore, we analyze the convergence and stability of the scheme by energy method. At last, numerical experiments demonstrate the theoretical results.
abstract_unstemmed	We study the initial-boundary value problem for Rosenau-RLW equation. We propose a three-level linear finite difference scheme, which has the theoretical accuracy of Oτ2+h4. The scheme simulates two conservative properties of original problem well. The existence, uniqueness of difference solution, and a priori estimates in infinite norm are obtained. Furthermore, we analyze the convergence and stability of the scheme by energy method. At last, numerical experiments demonstrate the theoretical results.
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title_short	A High-Accuracy Linear Conservative Difference Scheme for Rosenau-RLW Equation
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score	7.401038

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A High-Accuracy Linear Conservative Difference Scheme for Rosenau-RLW Equation

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