Variation of parameters method with an auxiliary parameter for initial value problems

Variation of parameters method with an auxiliary parameter for initial value problems

In this paper, an unknown auxiliary parameter is inserted in Variation of Parameter Method to solve Evolution and RLW equations. The proposed algorithm is very effective and is practically well suited for use in these problems. Three practical examples are given to verify the accuracy and efficiency...

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Main Authors: Waseem Sikandar, Umar Khan, Naveed Ahmed, Syed Tauseef Mohyud-Din
Format: Article
Language:English
Published: Elsevier 2018-12-01
Series:Ain Shams Engineering Journal
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447917300163
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spelling doaj-f29d5aff3f3b4d898c9a47849a068f6b2021-06-02T01:45:22ZengElsevierAin Shams Engineering Journal2090-44792018-12-019419591963Variation of parameters method with an auxiliary parameter for initial value problemsWaseem Sikandar0Umar Khan1Naveed Ahmed2Syed Tauseef Mohyud-Din3Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Abbottabad, PakistanDepartment of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, PakistanDepartment of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan; Corresponding author.In this paper, an unknown auxiliary parameter is inserted in Variation of Parameter Method to solve Evolution and RLW equations. The proposed algorithm is very effective and is practically well suited for use in these problems. Three practical examples are given to verify the accuracy and efficiency of the developed technique. Comparison with the standard VPM is made to show the reliability and efficiency of the proposed algorithm. Keywords: Variation of Parameter Method (VPM), Auxiliary parameter, Evolution and RLW equationshttp://www.sciencedirect.com/science/article/pii/S2090447917300163
collection DOAJ
language English
format Article
sources DOAJ
author Waseem Sikandar
Umar Khan
Naveed Ahmed
Syed Tauseef Mohyud-Din
spellingShingle Waseem Sikandar
Umar Khan
Naveed Ahmed
Syed Tauseef Mohyud-Din
Variation of parameters method with an auxiliary parameter for initial value problems
Ain Shams Engineering Journal
author_facet Waseem Sikandar
Umar Khan
Naveed Ahmed
Syed Tauseef Mohyud-Din
author_sort Waseem Sikandar
title Variation of parameters method with an auxiliary parameter for initial value problems
title_short Variation of parameters method with an auxiliary parameter for initial value problems
title_full Variation of parameters method with an auxiliary parameter for initial value problems
title_fullStr Variation of parameters method with an auxiliary parameter for initial value problems
title_full_unstemmed Variation of parameters method with an auxiliary parameter for initial value problems
title_sort variation of parameters method with an auxiliary parameter for initial value problems
publisher Elsevier
series Ain Shams Engineering Journal
issn 2090-4479
publishDate 2018-12-01
description In this paper, an unknown auxiliary parameter is inserted in Variation of Parameter Method to solve Evolution and RLW equations. The proposed algorithm is very effective and is practically well suited for use in these problems. Three practical examples are given to verify the accuracy and efficiency of the developed technique. Comparison with the standard VPM is made to show the reliability and efficiency of the proposed algorithm. Keywords: Variation of Parameter Method (VPM), Auxiliary parameter, Evolution and RLW equations
url http://www.sciencedirect.com/science/article/pii/S2090447917300163
work_keys_str_mv AT waseemsikandar variationofparametersmethodwithanauxiliaryparameterforinitialvalueproblems
AT umarkhan variationofparametersmethodwithanauxiliaryparameterforinitialvalueproblems
AT naveedahmed variationofparametersmethodwithanauxiliaryparameterforinitialvalueproblems
AT syedtauseefmohyuddin variationofparametersmethodwithanauxiliaryparameterforinitialvalueproblems
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