New Iterative Method Based on Laplace Decomposition Algorithm

We introduce a new form of Laplace decomposition algorithm (LDA). By this form a new iterative method was achieved in which there is no need to calculate Adomian polynomials, which require so much computational time for higher-order approximations. We have implemented this method for the solutions o...

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Main Authors: Sabir Widatalla, M. Z. Liu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/286529
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author Sabir Widatalla
M. Z. Liu
author_facet Sabir Widatalla
M. Z. Liu
author_sort Sabir Widatalla
collection DOAJ
description We introduce a new form of Laplace decomposition algorithm (LDA). By this form a new iterative method was achieved in which there is no need to calculate Adomian polynomials, which require so much computational time for higher-order approximations. We have implemented this method for the solutions of different types of nonlinear pantograph equations to support the proposed analysis.
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-f2a64147a6ba48d38fd71cb277aee7b82025-02-03T06:06:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/286529286529New Iterative Method Based on Laplace Decomposition AlgorithmSabir Widatalla0M. Z. Liu1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaWe introduce a new form of Laplace decomposition algorithm (LDA). By this form a new iterative method was achieved in which there is no need to calculate Adomian polynomials, which require so much computational time for higher-order approximations. We have implemented this method for the solutions of different types of nonlinear pantograph equations to support the proposed analysis.http://dx.doi.org/10.1155/2013/286529
spellingShingle Sabir Widatalla
M. Z. Liu
New Iterative Method Based on Laplace Decomposition Algorithm
Journal of Applied Mathematics
title New Iterative Method Based on Laplace Decomposition Algorithm
title_full New Iterative Method Based on Laplace Decomposition Algorithm
title_fullStr New Iterative Method Based on Laplace Decomposition Algorithm
title_full_unstemmed New Iterative Method Based on Laplace Decomposition Algorithm
title_short New Iterative Method Based on Laplace Decomposition Algorithm
title_sort new iterative method based on laplace decomposition algorithm
url http://dx.doi.org/10.1155/2013/286529
work_keys_str_mv AT sabirwidatalla newiterativemethodbasedonlaplacedecompositionalgorithm
AT mzliu newiterativemethodbasedonlaplacedecompositionalgorithm